{"meta":{"query_hash":"44781e4a77ad","filters":{"venue":"Numerical Methods for Partial Differential Equations"},"cohort_total":48,"direct_labels_cover":0,"predictions_cover":48,"exported":48,"export_cap":100000,"truncated":false,"label_status":"direct model label, unvalidated","prediction_status":"machine_predicted_unvalidated (Codex and Gemma teacher distillation)","score_status":"score_only:v0-immature-baseline","snapshot":{"source":"OpenAlex, pinned release, all 482 partitions","release":"2026-06-24","frame_built":"2026-07-12"},"permalink":"https://metacan.xera.ac/q/44781e4a77ad","api":"https://metacan.xera.ac/api/v1/cohort?venue=Numerical+Methods+for+Partial+Differential+Equations"},"results":[{"id":"W1590022832","doi":"10.1002/num.21873","title":"Numerical comparison of robustness of some reduction methods in rough grids","year":2014,"lang":"en","type":"article","venue":"Numerical Methods for Partial Differential Equations","topic":"Advanced Numerical Methods in Computational Mathematics","field":"Engineering","cited_by":7,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Calgary","funders":"National Natural Science Foundation of China","keywords":"Finite element method; Quadrilateral; Mathematics; Polygon mesh; Robustness (evolution); Mixed finite element method; Reduction (mathematics); Applied mathematics; Partial differential equation; Mathematical analysis; Geometry; Structural engineering","score_opus":0.08633876236614525,"score_gpt":0.455978611917852,"score_spread":0.36963984955170676,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1590022832","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.27901015,0.0014853445,0.7075814,0.0003995694,0.00022824453,0.00017399037,0.00021013843,0.0012601754,0.009650993],"genre_scores_gemma":[0.71578676,0.00050628977,0.28071037,0.000078825025,0.000054392567,0.00019428153,0.00033901515,0.00025609505,0.0020740298],"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.999318,0.00026068478,0.0000404842,0.00006252784,0.0002744566,0.000043859396],"domain_scores_gemma":[0.9976192,0.0015272526,0.0001264384,0.0003200413,0.00034034313,0.00006673991],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013736928,0.00069616834,0.00068538263,0.0008764664,0.0004543642,0.0007591871,0.0008683756,0.00072738156,0.0012393692],"category_scores_gemma":[0.0045799776,0.0002683219,0.0007984533,0.00041475298,0.00065409194,0.0006851935,0.00091262854,0.0007459057,0.0002953615],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00053841807,0.00015600836,0.004427059,0.00051439303,0.00020307238,0.00012764595,0.00034346106,0.8264126,0.0190715,0.015306841,0.0012814878,0.13161746],"study_design_scores_gemma":[0.000025647292,0.00007840479,0.00046903576,0.000010469156,0.000013819471,0.000032929605,0.00003576078,0.9932728,0.0038206594,0.0013055875,0.00092162366,0.00001324698],"about_ca_topic_score_codex":0.0020506715,"about_ca_topic_score_gemma":0.0012681464,"teacher_disagreement_score":0.0020506715,"about_ca_system_score_codex":0.00028084137,"about_ca_system_score_gemma":0.00051789137,"threshold_uncertainty_score":0.0072648525},"labels":[],"label_agreement":null},{"id":"W1986267641","doi":"10.1002/(sici)1098-2426(200005)16:3<285::aid-num2>3.0.co;2-3","title":"Finite volume element approximations of nonlocal reactive flows in porous media","year":2000,"lang":"en","type":"article","venue":"Numerical Methods for Partial Differential Equations","topic":"Advanced Mathematical Modeling in Engineering","field":"Computer Science","cited_by":124,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Superconvergence; Mathematics; Finite element method; Finite volume method; Norm (philosophy); Mixed finite element method; Finite volume method for one-dimensional steady state diffusion; Representative elementary volume; Mathematical analysis; hp-FEM; Porous medium; Extended finite element method; Smoothed finite element method; Partial differential equation; Finite element limit analysis; Applied mathematics; Mechanics; Boundary knot method; Porosity; Numerical partial differential equations; Physics; Thermodynamics; Materials science; Boundary element method","score_opus":0.04496767860722912,"score_gpt":0.3495697283202472,"score_spread":0.3046020497130181,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1986267641","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.05993043,0.00041216984,0.93552494,0.00020425148,0.000059537182,0.00003598194,0.000035568977,0.00013976416,0.0036574132],"genre_scores_gemma":[0.74620074,0.0007126427,0.2397153,0.00017728459,0.000078432386,0.00020456771,0.0001850916,0.00015457404,0.012571331],"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9996006,0.00013924531,0.000018657647,0.000048740887,0.00015938752,0.000033292297],"domain_scores_gemma":[0.9991872,0.00051099446,0.00010236744,0.0000532763,0.00010799975,0.000038205144],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010463872,0.00062413915,0.0007213758,0.00058028527,0.00027308174,0.0009411743,0.0008792811,0.0014963847,0.00068159966],"category_scores_gemma":[0.0027262012,0.0003498244,0.0004866382,0.0003785554,0.0016574947,0.0010201631,0.0010696525,0.0008016798,0.00030172986],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000024021108,0.000025893694,0.00037387907,0.00005399886,0.0000113649085,0.0000535955,0.00008404637,0.9634137,0.0047445074,0.024449598,0.00013303732,0.0066323653],"study_design_scores_gemma":[0.0000028949237,0.000006030524,0.000025884987,0.0000043997484,0.000001103399,0.000008624796,0.000008183145,0.9963373,0.00070595084,0.0024886893,0.0004082386,0.0000027464844],"about_ca_topic_score_codex":0.0025405865,"about_ca_topic_score_gemma":0.0020484661,"teacher_disagreement_score":0.0025405865,"about_ca_system_score_codex":0.0005538996,"about_ca_system_score_gemma":0.0006214562,"threshold_uncertainty_score":0.005533874},"labels":[],"label_agreement":null},{"id":"W1986296604","doi":"10.1002/num.20377","title":"A priori and a posteriori error estimations for the dual mixed finite element method of the Navier‐Stokes problem","year":2008,"lang":"en","type":"article","venue":"Numerical Methods for Partial Differential Equations","topic":"Advanced Numerical Methods in Computational Mathematics","field":"Engineering","cited_by":24,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Moncton","funders":"","keywords":"A priori and a posteriori; Mathematics; Finite element method; Applied mathematics; Partial differential equation; Dirichlet boundary condition; Nonlinear system; Dirichlet problem; Mathematical analysis; Dirichlet distribution; Domain (mathematical analysis); Boundary value problem","score_opus":0.08226586216860093,"score_gpt":0.39930750984266217,"score_spread":0.31704164767406123,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1986296604","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.037412055,0.0002422749,0.9604148,0.00014047894,0.000036338268,0.000024049668,0.000023224175,0.00007873386,0.0016279246],"genre_scores_gemma":[0.54680014,0.00027039193,0.44937325,0.00006684358,0.00006578153,0.00018250672,0.00013220169,0.00013842744,0.002970432],"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9988821,0.0005850198,0.000057733494,0.000085412496,0.0003483509,0.000041436575],"domain_scores_gemma":[0.9953644,0.0030051365,0.00039408813,0.00029508016,0.0007334049,0.00020791043],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0038272406,0.0008393899,0.0008506759,0.0013659918,0.0004329884,0.0014440805,0.0008738634,0.0012734982,0.0011684379],"category_scores_gemma":[0.0096981535,0.0006389676,0.0006730016,0.00027144744,0.0016573597,0.0012463132,0.0024966542,0.0015405099,0.00031812902],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0005851099,0.0001621128,0.0032372721,0.00035625623,0.000118150536,0.00013613746,0.00023624035,0.7870479,0.02602996,0.12975402,0.0009882429,0.051348474],"study_design_scores_gemma":[0.0000035589187,0.000017882394,0.00008461175,0.000009173405,0.000003674413,0.0000137635325,0.0000055870596,0.9954776,0.0012083839,0.0029291946,0.00024074926,0.0000058824617],"about_ca_topic_score_codex":0.0012681313,"about_ca_topic_score_gemma":0.0006620258,"teacher_disagreement_score":0.0038272406,"about_ca_system_score_codex":0.0005109028,"about_ca_system_score_gemma":0.0007067217,"threshold_uncertainty_score":0.020240664},"labels":[],"label_agreement":null},{"id":"W1993681020","doi":"10.1002/num.10092","title":"An immersed finite element space and its approximation capability","year":2004,"lang":"en","type":"article","venue":"Numerical Methods for Partial Differential Equations","topic":"Numerical methods in engineering","field":"Engineering","cited_by":200,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Finite element method; Sobolev space; Mathematics; Partition of unity; Interpolation (computer graphics); Mathematical analysis; Space (punctuation); Extended finite element method; Boundary value problem; Mixed finite element method; Function space; Partial differential equation; Boundary knot method; Applied mathematics; Boundary element method; Computer science; Physics; Classical mechanics","score_opus":0.042628169560172575,"score_gpt":0.3613179433050785,"score_spread":0.3186897737449059,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1993681020","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.03857673,0.00027657187,0.9564443,0.00018704153,0.0000616367,0.000020803887,0.000028507442,0.00009751409,0.0043068114],"genre_scores_gemma":[0.675153,0.00046811742,0.31629297,0.00011428425,0.00008235568,0.000079161786,0.00018268006,0.0001278564,0.00749961],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990982,0.00029978185,0.000041058698,0.000110059475,0.0004003846,0.00005052734],"domain_scores_gemma":[0.99859947,0.00059194904,0.00011395055,0.00019398954,0.00036753077,0.00013315983],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001571713,0.00050751393,0.00054764055,0.0008232896,0.00034551762,0.001239966,0.00073052663,0.000689676,0.0019012974],"category_scores_gemma":[0.0046904385,0.00025280737,0.00060008204,0.00032068725,0.0024582492,0.0015062153,0.0023394646,0.0015950669,0.00036566862],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000089494286,0.000037497597,0.00053017493,0.000118686,0.00003158756,0.000100831785,0.00036385155,0.111373514,0.019050714,0.8406474,0.000660865,0.026995467],"study_design_scores_gemma":[0.000014361101,0.00011480717,0.00020565475,0.000033871198,0.000011083587,0.00016511764,0.00005237256,0.8400619,0.006537113,0.14444679,0.008336234,0.000020730833],"about_ca_topic_score_codex":0.00069729507,"about_ca_topic_score_gemma":0.00019723429,"teacher_disagreement_score":0.0019012974,"about_ca_system_score_codex":0.0003762426,"about_ca_system_score_gemma":0.00035870002,"threshold_uncertainty_score":0.008312106},"labels":[],"label_agreement":null},{"id":"W2003061006","doi":"10.1002/num.20069","title":"<i>A posteriori</i> error estimation for the dual mixed finite element method of the elasticity problem in a polygonal domain","year":2005,"lang":"en","type":"article","venue":"Numerical Methods for Partial Differential Equations","topic":"Advanced Numerical Methods in Computational Mathematics","field":"Engineering","cited_by":6,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Moncton","funders":"","keywords":"Estimator; Mathematics; Finite element method; Domain decomposition methods; Applied mathematics; Elasticity (physics); Residual; Helmholtz equation; Helmholtz free energy; A priori and a posteriori; Inverse problem; Mathematical analysis; Mathematical optimization; Algorithm; Boundary value problem; Statistics","score_opus":0.048060374154633434,"score_gpt":0.3879536221259298,"score_spread":0.3398932479712964,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2003061006","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.009648361,0.00005754764,0.9899092,0.00005035865,0.000012347639,0.000007183991,0.000009501091,0.000057202928,0.00024830076],"genre_scores_gemma":[0.33144775,0.00013070481,0.66661435,0.000043003,0.000046538324,0.00007873399,0.00008737895,0.00013252314,0.0014190653],"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99882287,0.0004902257,0.0000617091,0.00015242171,0.00042792634,0.00004488906],"domain_scores_gemma":[0.99759895,0.0012066399,0.00034750617,0.00029138915,0.00046991042,0.00008563248],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002560905,0.0005915795,0.0008110231,0.0009167722,0.0002295577,0.0010281692,0.0010898712,0.0009875966,0.0008639996],"category_scores_gemma":[0.0076736193,0.00037025457,0.0004766958,0.00028121675,0.0011871443,0.00096717075,0.0017381163,0.0010889465,0.00031746126],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0006928522,0.00013286076,0.0045450125,0.0005520829,0.00014113003,0.00022346854,0.0002062389,0.644222,0.06600124,0.080398,0.0012051574,0.20167996],"study_design_scores_gemma":[0.0000061556752,0.000022608618,0.00014085005,0.000008701218,0.0000058120795,0.000039381724,0.0000059885624,0.99073774,0.005556405,0.0030084557,0.00045948493,0.000008425565],"about_ca_topic_score_codex":0.00048204977,"about_ca_topic_score_gemma":0.00027546816,"teacher_disagreement_score":0.002560905,"about_ca_system_score_codex":0.00027375456,"about_ca_system_score_gemma":0.00042024217,"threshold_uncertainty_score":0.013543487},"labels":[],"label_agreement":null},{"id":"W2023382202","doi":"10.1002/num.20097","title":"Minimum time‐step criteria for the Galerkin finite element methods applied to one‐dimensional parabolic partial differential equations","year":2005,"lang":"en","type":"article","venue":"Numerical Methods for Partial Differential Equations","topic":"Advanced Numerical Methods in Computational Mathematics","field":"Engineering","cited_by":11,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Regina","funders":"","keywords":"Mathematics; Discretization; Partial differential equation; Galerkin method; Finite element method; Boundary value problem; Parabolic partial differential equation; Numerical analysis; Applied mathematics; Crank–Nicolson method; Partial derivative; Mathematical analysis","score_opus":0.08637289522649644,"score_gpt":0.4193553333702472,"score_spread":0.3329824381437508,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2023382202","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.008493608,0.00035320723,0.9889958,0.00015148663,0.00007475255,0.00007005582,0.000020942976,0.000074587966,0.0017655116],"genre_scores_gemma":[0.37287894,0.00068757543,0.61956674,0.00014890778,0.00013592801,0.0007424104,0.0001538475,0.0004175143,0.0052680797],"study_design_codex":"simulation_or_modeling","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9980525,0.00095813797,0.00009451297,0.00008208141,0.00074232713,0.0000705473],"domain_scores_gemma":[0.99118304,0.006111724,0.00038410936,0.0002506185,0.0018673091,0.00020318171],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0055895965,0.000953019,0.0009323384,0.0010013054,0.00072472077,0.0012265805,0.0015527228,0.0012411358,0.0025135526],"category_scores_gemma":[0.015490529,0.0004410498,0.00065849593,0.0003984147,0.0015016877,0.0011422123,0.001702651,0.0021666475,0.0006701043],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00072189275,0.00018337538,0.0017810826,0.0006800339,0.000052116393,0.00030098335,0.00038771285,0.6647887,0.030207075,0.22368142,0.0030964345,0.07411915],"study_design_scores_gemma":[0.000013026545,0.000041982566,0.00010014836,0.000023015016,0.000004876232,0.000019229728,0.000010565641,0.9849422,0.002892349,0.010620918,0.0013230019,0.00000871045],"about_ca_topic_score_codex":0.0010583492,"about_ca_topic_score_gemma":0.0007086644,"teacher_disagreement_score":0.0055895965,"about_ca_system_score_codex":0.00081147073,"about_ca_system_score_gemma":0.0009535767,"threshold_uncertainty_score":0.029560924},"labels":[],"label_agreement":null},{"id":"W2032968490","doi":"10.1002/num.20355","title":"Numerical analysis to discontinuous Galerkin methods for the age structured population model of marine invertebrates","year":2008,"lang":"en","type":"article","venue":"Numerical Methods for Partial Differential Equations","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"","keywords":"Mathematics; Nonlinear system; Sobolev space; Galerkin method; Applied mathematics; Discontinuous Galerkin method; Computation; Partial differential equation; Simple (philosophy); Population; Polygon mesh; Population model; Finite element method; Mathematical analysis; Algorithm; Geometry","score_opus":0.1536267270400993,"score_gpt":0.44818046727762045,"score_spread":0.2945537402375211,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2032968490","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.09034846,0.0005949785,0.90596354,0.00041606944,0.00011594191,0.000044196142,0.00004216425,0.00008844266,0.0023861888],"genre_scores_gemma":[0.8671859,0.0005103913,0.12667647,0.000098828714,0.00010387092,0.00023058928,0.00007783981,0.00006295159,0.005053144],"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9995994,0.00021161232,0.000015268392,0.000034284334,0.000112697715,0.000026704816],"domain_scores_gemma":[0.9982822,0.0011573996,0.00018968052,0.00007505821,0.00021302755,0.00008269674],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0016701508,0.0006501541,0.0005619442,0.00073833886,0.000365817,0.00079945294,0.0009719515,0.0011006403,0.0010411305],"category_scores_gemma":[0.004947033,0.00037283116,0.00068157667,0.00033159176,0.001645711,0.0006548302,0.0013418589,0.0009699076,0.00014926372],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003648782,0.000026814063,0.0010976668,0.000071931434,0.00002193768,0.00007243188,0.000076681325,0.95504576,0.0020514291,0.036346145,0.00019131256,0.004961369],"study_design_scores_gemma":[0.0000026181194,0.000004053182,0.000029608571,0.0000015855333,9.482516e-7,0.000002614945,0.000002370343,0.99804854,0.00007832039,0.001735114,0.00009302017,0.0000011358158],"about_ca_topic_score_codex":0.0037131119,"about_ca_topic_score_gemma":0.0013710584,"teacher_disagreement_score":0.0037131119,"about_ca_system_score_codex":0.0007835448,"about_ca_system_score_gemma":0.0008347632,"threshold_uncertainty_score":0.008832693},"labels":[],"label_agreement":null},{"id":"W2033139498","doi":"10.1002/num.21726","title":"A high‐order ADI finite difference scheme for a 3D reaction‐diffusion equation with neumann boundary condition","year":2012,"lang":"en","type":"article","venue":"Numerical Methods for Partial Differential Equations","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":21,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Calgary","funders":"","keywords":"Mathematics; Compact finite difference; Neumann boundary condition; Alternating direction implicit method; Richardson extrapolation; Boundary value problem; Partial differential equation; Mathematical analysis; Von Neumann stability analysis; Boundary (topology); Extrapolation; Reaction–diffusion system; Von Neumann architecture; Finite difference method; Pure mathematics","score_opus":0.11555830389397465,"score_gpt":0.4229341497908595,"score_spread":0.3073758458968849,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2033139498","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.038269434,0.0003920997,0.9550131,0.00030425392,0.0002984047,0.00010000835,0.000062917556,0.000177442,0.0053821807],"genre_scores_gemma":[0.44871438,0.0003619018,0.54191893,0.00016933228,0.00008601858,0.0003876851,0.00015645062,0.00009954892,0.008105699],"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9996536,0.00009683375,0.000026446025,0.000043077296,0.00015300831,0.000027068942],"domain_scores_gemma":[0.9992849,0.00032247894,0.00007874941,0.000073120114,0.00018540284,0.00005542652],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010737088,0.00055803667,0.00095653586,0.00058055023,0.0006633075,0.0008669664,0.0015300806,0.001656988,0.0019155892],"category_scores_gemma":[0.0016773592,0.00041592433,0.0008890854,0.00043963315,0.001270853,0.0007691625,0.0012598502,0.0016141105,0.00039273698],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000145734,0.00014479914,0.0013495613,0.00028733572,0.000039833973,0.00028626382,0.00035687367,0.83957404,0.029449243,0.08049369,0.0010779339,0.04679475],"study_design_scores_gemma":[0.0000067424708,0.000011951127,0.000039159415,0.0000049076475,0.0000021959352,0.000014892935,0.0000051045286,0.99708456,0.0008946714,0.0011190104,0.00081057864,0.000006279384],"about_ca_topic_score_codex":0.004887564,"about_ca_topic_score_gemma":0.0029911208,"teacher_disagreement_score":0.004887564,"about_ca_system_score_codex":0.001043563,"about_ca_system_score_gemma":0.0012583744,"threshold_uncertainty_score":0.00971818},"labels":[],"label_agreement":null},{"id":"W2037091304","doi":"10.1002/num.21761","title":"Multilevel computations of dispersed drug release","year":2012,"lang":"en","type":"article","venue":"Numerical Methods for Partial Differential Equations","topic":"Advanced Mathematical Modeling in Engineering","field":"Computer Science","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"","keywords":"Computation; Finite element method; Diffusion; Swelling; Applied mathematics; Partial differential equation; Drug delivery; Computer science; Mathematics; Mathematical optimization; Algorithm; Materials science; Mathematical analysis; Thermodynamics; Physics; Nanotechnology","score_opus":0.06989509599688638,"score_gpt":0.3939552353303124,"score_spread":0.32406013933342603,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2037091304","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.32982334,0.0006207297,0.65561324,0.00062196195,0.000115606716,0.00006744444,0.00046087557,0.00044426013,0.012232485],"genre_scores_gemma":[0.9085243,0.00024308426,0.08795827,0.00007226268,0.000029119843,0.00009193947,0.0001823126,0.000087574204,0.0028111155],"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99983096,0.00004198982,0.0000111381805,0.000022077587,0.0000643355,0.000029490015],"domain_scores_gemma":[0.99924326,0.00037855134,0.00009808696,0.00009842448,0.00012501204,0.000056777637],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00040250804,0.00033774335,0.00078035006,0.0004954391,0.00036995273,0.0008265353,0.0006434219,0.00081953174,0.0030625954],"category_scores_gemma":[0.0018011027,0.00027750025,0.00078208564,0.00037354912,0.0004639368,0.0006659767,0.00083142956,0.00077032653,0.0003668535],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00009450055,0.000039939707,0.0009297235,0.000087154185,0.0000421205,0.0001407662,0.000058530466,0.9624338,0.00707091,0.018637786,0.00050576666,0.009958922],"study_design_scores_gemma":[0.000004711301,0.000010248588,0.00006588962,0.0000022925492,0.0000024896592,0.0000048316906,0.0000033806768,0.9982634,0.00037487244,0.0011045295,0.00016143858,0.000001968799],"about_ca_topic_score_codex":0.0054492205,"about_ca_topic_score_gemma":0.0040689316,"teacher_disagreement_score":0.0054492205,"about_ca_system_score_codex":0.0008077991,"about_ca_system_score_gemma":0.0005341501,"threshold_uncertainty_score":0.010835052},"labels":[],"label_agreement":null},{"id":"W2039046333","doi":"10.1002/num.21722","title":"Immersed finite element methods for parabolic equations with moving interface","year":2012,"lang":"en","type":"article","venue":"Numerical Methods for Partial Differential Equations","topic":"Lattice Boltzmann Simulation Studies","field":"Engineering","cited_by":98,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"National Natural Science Foundation of China","keywords":"Interface (matter); Finite element method; Partial differential equation; Jump; Mathematics; Crank–Nicolson method; Applied mathematics; Diffusion; Crank; Parabolic partial differential equation; Mathematical analysis; Numerical analysis; Computer science; Geometry; Structural engineering; Engineering; Physics","score_opus":0.08820141757212326,"score_gpt":0.42511304576422493,"score_spread":0.3369116281921017,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2039046333","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.004471145,0.00021899233,0.99312466,0.000098634264,0.00007738762,0.0000449564,0.00003003832,0.000098274744,0.0018358539],"genre_scores_gemma":[0.13676514,0.0004988995,0.8524453,0.0001311237,0.00009315449,0.00044969437,0.0001806393,0.00023809847,0.009197904],"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.999393,0.00023328458,0.00002805812,0.000048068694,0.00026489873,0.00003266005],"domain_scores_gemma":[0.9989961,0.00057359575,0.00006911539,0.00008950825,0.00022223293,0.00004947558],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011713258,0.0009555129,0.0008976442,0.00085141713,0.00045917043,0.0007944858,0.00195163,0.0016927539,0.0029398105],"category_scores_gemma":[0.0041378606,0.00051123917,0.0010461021,0.000466962,0.0013638325,0.0009787519,0.00176784,0.0016228497,0.00082113896],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00012632411,0.000126895,0.0006236723,0.00033607107,0.00008800294,0.00018343137,0.00043987206,0.75080067,0.018732429,0.14618975,0.0014737572,0.080879174],"study_design_scores_gemma":[0.000013241231,0.0000111348045,0.00002344289,0.00000946958,0.0000035652974,0.000019635652,0.000011509711,0.9910726,0.0011801488,0.005472575,0.002174633,0.000007966927],"about_ca_topic_score_codex":0.003372834,"about_ca_topic_score_gemma":0.0017461685,"teacher_disagreement_score":0.003372834,"about_ca_system_score_codex":0.00065536925,"about_ca_system_score_gemma":0.0009496992,"threshold_uncertainty_score":0.009834707},"labels":[],"label_agreement":null},{"id":"W2062501855","doi":"10.1002/num.21768","title":"Nonintrusive reduced‐order modeling of parametrized time‐dependent partial differential equations","year":2013,"lang":"en","type":"article","venue":"Numerical Methods for Partial Differential Equations","topic":"Model Reduction and Neural Networks","field":"Physics and Astronomy","cited_by":121,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Partial differential equation; Galerkin method; Basis function; Nonlinear system; Projection (relational algebra); Basis (linear algebra); Partial derivative; Applied mathematics; Radial basis function; Mathematical analysis; Function (biology); Algorithm; Computer science; Geometry","score_opus":0.051724499515260335,"score_gpt":0.3608011306144296,"score_spread":0.3090766310991693,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2062501855","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.037379414,0.00009863448,0.9592981,0.00010034724,0.000028825383,0.000031992167,0.000048407306,0.00014461529,0.0028697718],"genre_scores_gemma":[0.7949936,0.00032899342,0.1974775,0.00006958653,0.000036324007,0.00020667043,0.00019402766,0.00011684699,0.0065764966],"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99973947,0.00008971302,0.0000102173435,0.000026957498,0.000112622816,0.000020920928],"domain_scores_gemma":[0.9996959,0.00010957438,0.00005934773,0.0000621238,0.00005421915,0.000018898345],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004403579,0.0005329745,0.0007584199,0.00028166268,0.0002587943,0.00073684275,0.0010124452,0.0007530588,0.0009846395],"category_scores_gemma":[0.0010794279,0.00040323334,0.0007345711,0.00024520297,0.00073712366,0.0009458434,0.00076941686,0.001027733,0.00021695739],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000023177352,0.000033922446,0.00032048303,0.00003613175,0.000015057014,0.000044336644,0.000060774346,0.95546496,0.008139509,0.029084949,0.00020451611,0.006572192],"study_design_scores_gemma":[0.0000011869058,0.0000027315643,0.000016489394,6.131972e-7,5.974567e-7,0.000002438124,0.0000010474806,0.9988777,0.0002430841,0.00072304986,0.0001296205,0.0000014473869],"about_ca_topic_score_codex":0.0033576537,"about_ca_topic_score_gemma":0.0022721933,"teacher_disagreement_score":0.0033576537,"about_ca_system_score_codex":0.0005303303,"about_ca_system_score_gemma":0.0009063105,"threshold_uncertainty_score":0.006676197},"labels":[],"label_agreement":null},{"id":"W2074030282","doi":"10.1002/num.20334","title":"Mathematical modeling of boundary conditions for laser‐molecule time‐dependent Schrödinger equations and some aspects of their numerical computation—One‐dimensional case","year":2008,"lang":"en","type":"article","venue":"Numerical Methods for Partial Differential Equations","topic":"Laser-Matter Interactions and Applications","field":"Physics and Astronomy","cited_by":20,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Sherbrooke; Montreal Clinical Research Institute; Ontario Tech University","funders":"","keywords":"Boundary value problem; Spurious relationship; Mathematics; Computation; Boundary (topology); Excited state; Wave function; Domain (mathematical analysis); Schrödinger equation; Mathematical analysis; Partial differential equation; Basis (linear algebra); Applied mathematics; Physics; Quantum mechanics; Geometry; Algorithm","score_opus":0.06020551227760241,"score_gpt":0.369025659030452,"score_spread":0.3088201467528496,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2074030282","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.07725714,0.000888463,0.90208614,0.00080597424,0.00016585318,0.00008977938,0.0001166113,0.00013271811,0.0184574],"genre_scores_gemma":[0.86980695,0.0006922325,0.11664735,0.00018510329,0.00010767273,0.000373341,0.00016950982,0.000107946114,0.011909906],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99966455,0.0001468645,0.000017571338,0.00003818827,0.000093260125,0.00003957357],"domain_scores_gemma":[0.9991792,0.00047911308,0.000105134925,0.000052019364,0.000125135,0.00005928284],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011286164,0.0006277813,0.00076240906,0.0008521058,0.00069314224,0.0018526193,0.0011844367,0.0018202056,0.0024647966],"category_scores_gemma":[0.0028483327,0.00042488542,0.0006928008,0.00044115807,0.0017774885,0.0015926795,0.0010756612,0.001239031,0.00044123316],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000041158535,0.000061252154,0.0005611489,0.00009591794,0.000017122939,0.00029158828,0.00014916666,0.40147594,0.00605771,0.5843151,0.0007168284,0.006217051],"study_design_scores_gemma":[0.000012985718,0.000010231758,0.00007556822,0.000012408253,0.000003120123,0.000030310845,0.000024310031,0.95845765,0.0007687183,0.03988975,0.0007033406,0.000011606856],"about_ca_topic_score_codex":0.002730985,"about_ca_topic_score_gemma":0.0010876376,"teacher_disagreement_score":0.002730985,"about_ca_system_score_codex":0.0011386436,"about_ca_system_score_gemma":0.0010499362,"threshold_uncertainty_score":0.008261442},"labels":[],"label_agreement":null},{"id":"W2079228455","doi":"10.1002/num.20610","title":"Superconvergence of a stabilized finite element approximation for the Stokes equations using a local coarse mesh <i>L</i><sup>2</sup> projection","year":2010,"lang":"en","type":"article","venue":"Numerical Methods for Partial Differential Equations","topic":"Advanced Numerical Methods in Computational Mathematics","field":"Engineering","cited_by":7,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Calgary","funders":"National Natural Science Foundation of China","keywords":"Superconvergence; Mathematics; Finite element method; Projection (relational algebra); Gauss; Mathematical analysis; Applied mathematics; Computation; Series (stratigraphy); Projection method; Partial differential equation; Stokes problem; Dykstra's projection algorithm; Mathematical optimization; Algorithm; Physics","score_opus":0.07868486124189203,"score_gpt":0.39043770671786493,"score_spread":0.31175284547597293,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2079228455","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.23271915,0.000121865305,0.76276064,0.00016641578,0.00006181088,0.00005993454,0.000034588084,0.00020705069,0.0038685726],"genre_scores_gemma":[0.8278998,0.00011374418,0.16929092,0.00005033394,0.000028761697,0.00012193186,0.00007742792,0.000101858655,0.0023152884],"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9996995,0.00012822567,0.000012387819,0.000027811817,0.00011066021,0.000021459173],"domain_scores_gemma":[0.9989178,0.0005665491,0.00009152694,0.00011792057,0.00023223912,0.000073995485],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011725806,0.0005260347,0.00063397014,0.0005538387,0.0003659607,0.0007734502,0.0005801973,0.00066451536,0.0011259425],"category_scores_gemma":[0.0028438235,0.00025561568,0.00046978478,0.00024337597,0.0012875078,0.00045314533,0.00094283064,0.0006724115,0.00021823414],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0002320642,0.000115910065,0.0024377452,0.00009357759,0.00004504501,0.00014973577,0.0002697221,0.89924586,0.027050434,0.039795857,0.0006931964,0.029870905],"study_design_scores_gemma":[0.0000036658175,0.00001757806,0.000054996992,0.000002046594,0.0000012024815,0.0000035994012,0.0000056933227,0.99837947,0.00096014893,0.00047517972,0.00009430207,0.0000019913984],"about_ca_topic_score_codex":0.004307205,"about_ca_topic_score_gemma":0.0027477841,"teacher_disagreement_score":0.004307205,"about_ca_system_score_codex":0.00048741416,"about_ca_system_score_gemma":0.00076168537,"threshold_uncertainty_score":0.008564293},"labels":[],"label_agreement":null},{"id":"W2081926944","doi":"10.1002/num.10067","title":"Mixed finite element approximation of an MHD problem involving conducting and insulating regions: The 3D case","year":2003,"lang":"en","type":"article","venue":"Numerical Methods for Partial Differential Equations","topic":"Advanced Numerical Methods in Computational Mathematics","field":"Engineering","cited_by":64,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Finite element method; Mathematics; Limit (mathematics); Partial differential equation; Domain (mathematical analysis); Magnetohydrodynamics; Maxwell's equations; Lagrange multiplier; Mathematical analysis; Applied mathematics; Physics; Mathematical optimization; Magnetic field; Quantum mechanics","score_opus":0.16209689405722916,"score_gpt":0.3938284258991402,"score_spread":0.23173153184191103,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2081926944","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.14562991,0.00040613706,0.84067136,0.00052809704,0.0001306728,0.000053034422,0.00010052693,0.00015973778,0.012320547],"genre_scores_gemma":[0.8452894,0.00029126846,0.14733146,0.00020205317,0.000081501654,0.00014428029,0.000095104246,0.00006977046,0.0064951126],"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99983096,0.00007042139,0.000008160455,0.00001980089,0.000052127558,0.000018560562],"domain_scores_gemma":[0.99967027,0.0001753527,0.000050834653,0.00003195418,0.00003863175,0.000032930555],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004532423,0.0005181108,0.00065901235,0.00038879394,0.00041549973,0.0011543701,0.0007295541,0.0016530795,0.0014178096],"category_scores_gemma":[0.0011218223,0.0004902745,0.00059253204,0.0002520877,0.0009073439,0.0007193359,0.0011575221,0.00066392514,0.00025554746],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000113794464,0.00005582689,0.0011632051,0.00007342101,0.00003920379,0.00040241427,0.00013293685,0.9465391,0.008626222,0.035926603,0.00039475152,0.006532623],"study_design_scores_gemma":[0.000009036924,0.000009276709,0.000076527955,0.000006174536,0.0000035211353,0.000028789102,0.000014903064,0.9965113,0.0005850172,0.0022886489,0.0004621366,0.0000047450335],"about_ca_topic_score_codex":0.0018634142,"about_ca_topic_score_gemma":0.0012911569,"teacher_disagreement_score":0.0018634142,"about_ca_system_score_codex":0.00031683932,"about_ca_system_score_gemma":0.00052961323,"threshold_uncertainty_score":0.0047430396},"labels":[],"label_agreement":null},{"id":"W2108298966","doi":"10.1002/num.20012","title":"A mixed finite element method for a quasi‐Newtonian fluid flow","year":2004,"lang":"en","type":"article","venue":"Numerical Methods for Partial Differential Equations","topic":"Advanced Numerical Methods in Computational Mathematics","field":"Engineering","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Moncton","funders":"","keywords":"Uniqueness; Mixed finite element method; Finite element method; Conservation law; Mathematics; Newtonian fluid; Non-Newtonian fluid; Extended finite element method; Conservation of mass; Flow (mathematics); Partial differential equation; Mathematical analysis; Smoothed finite element method; Cauchy stress tensor; Finite volume method; Applied mathematics; Physics; Geometry; Mechanics; Boundary knot method","score_opus":0.07601653036428144,"score_gpt":0.4021343955187225,"score_spread":0.3261178651544411,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2108298966","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.004950788,0.00009033968,0.99390644,0.000068507725,0.000043117583,0.000025920546,0.000019854857,0.000070452705,0.0008245424],"genre_scores_gemma":[0.11687428,0.0001603739,0.8786576,0.00008786155,0.000033056032,0.00029287266,0.000075815035,0.00011015012,0.003707918],"study_design_codex":"simulation_or_modeling","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995733,0.00014389736,0.00002456685,0.00003692799,0.0002032495,0.00001803472],"domain_scores_gemma":[0.9996014,0.00017493994,0.000039653918,0.00003947108,0.00011125099,0.000033149852],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010845187,0.00061369326,0.0006850691,0.0007382452,0.00038949985,0.00093555474,0.0012618053,0.0011707592,0.0027878468],"category_scores_gemma":[0.0014536697,0.0004837838,0.0008586151,0.00031974178,0.0008031727,0.0009841918,0.0011105521,0.0008767729,0.00069436507],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00021023063,0.00018655624,0.0011843465,0.0004305716,0.00013283381,0.00017093065,0.0002767841,0.66652423,0.055956524,0.17093316,0.0015776745,0.102416165],"study_design_scores_gemma":[0.000007681377,0.000023236818,0.000031894153,0.000010181606,0.0000056579634,0.000021635356,0.0000051417496,0.9932202,0.0013795302,0.002839839,0.0024491206,0.000005752229],"about_ca_topic_score_codex":0.00073773257,"about_ca_topic_score_gemma":0.0007689726,"teacher_disagreement_score":0.0027878468,"about_ca_system_score_codex":0.00033450205,"about_ca_system_score_gemma":0.0006155971,"threshold_uncertainty_score":0.009326339},"labels":[],"label_agreement":null},{"id":"W2113532376","doi":"10.1002/num.20233","title":"On the stability of alternating‐direction explicit methods for advection‐diffusion equations","year":2007,"lang":"en","type":"article","venue":"Numerical Methods for Partial Differential Equations","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":43,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Carleton University","funders":"","keywords":"Advection; Mathematics; Computation; Stability (learning theory); Partial differential equation; Diffusion; Mathematical analysis; Term (time); Applied mathematics; Parabolic partial differential equation; Time stepping; Physics; Computer science; Algorithm","score_opus":0.18090825615710118,"score_gpt":0.48743676702677663,"score_spread":0.3065285108696755,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2113532376","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.09253164,0.0009836972,0.89899087,0.00034099017,0.00010154522,0.00007650662,0.000039316343,0.00014365911,0.0067917323],"genre_scores_gemma":[0.8096125,0.00074409397,0.18464267,0.000115689596,0.00006894813,0.00021355113,0.00009822859,0.00013513108,0.004369262],"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9992568,0.0003769688,0.000049784587,0.000048316975,0.00023025625,0.000037878523],"domain_scores_gemma":[0.994589,0.0036666566,0.00037309388,0.000277434,0.0009297011,0.00016415834],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0028985566,0.00065971614,0.00043585006,0.00089108985,0.000731495,0.000938095,0.0007637445,0.00074989186,0.0011999077],"category_scores_gemma":[0.01121325,0.00036757626,0.0005772026,0.00042012802,0.0017639893,0.0010728289,0.0021068517,0.0010586225,0.0003284167],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00060943153,0.000120342964,0.005588766,0.00028938957,0.00008327276,0.00023756093,0.0006694404,0.5480404,0.031901546,0.33443284,0.0012805818,0.07674636],"study_design_scores_gemma":[0.000011779072,0.000031265252,0.00013274845,0.000017258362,0.0000058381024,0.000023278633,0.000014143057,0.9853483,0.0017239199,0.012101764,0.00058078655,0.00000888947],"about_ca_topic_score_codex":0.0018690313,"about_ca_topic_score_gemma":0.0009466995,"teacher_disagreement_score":0.0028985566,"about_ca_system_score_codex":0.00037732557,"about_ca_system_score_gemma":0.00066125585,"threshold_uncertainty_score":0.015329242},"labels":[],"label_agreement":null},{"id":"W2114605725","doi":"10.1002/num.22005","title":"Stabilized finite element methods for a blood flow model of arteriosclerosis","year":2015,"lang":"en","type":"article","venue":"Numerical Methods for Partial Differential Equations","topic":"Advanced Numerical Methods in Computational Mathematics","field":"Engineering","cited_by":12,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Calgary","funders":"Program for New Century Excellent Talents in University; Baoji University of Arts And Sciences; National Natural Science Foundation of China; National Science Foundation","keywords":"Mathematics; Finite element method; Nonlinear system; Boundary value problem; Compressibility; Mathematical analysis; Partial differential equation; Applied mathematics; Incompressible flow; Flow (mathematics); Mechanics; Geometry; Physics","score_opus":0.16702573098346626,"score_gpt":0.43354149175469425,"score_spread":0.26651576077122796,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2114605725","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.010714485,0.00024706943,0.9865053,0.0001369713,0.00003963541,0.0000285377,0.000033849014,0.000062285304,0.0022317672],"genre_scores_gemma":[0.75855947,0.00087139744,0.2297179,0.00021004862,0.00011338527,0.00044577435,0.0002900438,0.000119518656,0.009672337],"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9997489,0.000117102034,0.000012379975,0.000036366302,0.00006716579,0.000018027486],"domain_scores_gemma":[0.9995647,0.00022982935,0.000067638175,0.000022298704,0.000090053465,0.000025365669],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00060490164,0.00082733424,0.0008170646,0.00068777316,0.0003524423,0.00058515475,0.0009790475,0.0014043748,0.0016227105],"category_scores_gemma":[0.0012776849,0.0003493663,0.0007216852,0.00036162778,0.0008522576,0.00059881055,0.0009732669,0.00088472856,0.00031033374],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000029107805,0.00002577395,0.0002607004,0.000062347295,0.000019619607,0.000059572994,0.000057589285,0.9538579,0.004364344,0.03471488,0.00028281903,0.0062653194],"study_design_scores_gemma":[0.0000014686067,0.000004796731,0.000012106212,0.0000025024285,0.0000012983382,0.000003107591,0.0000027860117,0.9980944,0.00014263687,0.0015322014,0.00020114044,0.0000015203044],"about_ca_topic_score_codex":0.004515516,"about_ca_topic_score_gemma":0.0028573708,"teacher_disagreement_score":0.004515516,"about_ca_system_score_codex":0.00055145245,"about_ca_system_score_gemma":0.00086603675,"threshold_uncertainty_score":0.008978486},"labels":[],"label_agreement":null},{"id":"W2117942758","doi":"10.1002/num.21971","title":"Numerical study using explicit multistep <scp>G</scp>alerkin finite element method for the <scp>MRLW</scp> equation","year":2015,"lang":"en","type":"article","venue":"Numerical Methods for Partial Differential Equations","topic":"Numerical methods for differential equations","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Calgary","funders":"China Scholarship Council; National Natural Science Foundation of China","keywords":"Mathematics; Discretization; Finite element method; Linear multistep method; Partial differential equation; Galerkin method; Discontinuous Galerkin method; Stability (learning theory); Mathematical analysis; Applied mathematics; Space (punctuation); Scheme (mathematics); Mixed finite element method; Numerical stability; Numerical analysis; Differential equation; Ordinary differential equation; Computer science; Physics; Differential algebraic equation","score_opus":0.28006983194738033,"score_gpt":0.4743095626656384,"score_spread":0.19423973071825806,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2117942758","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.35060552,0.0011170112,0.6309589,0.0007797393,0.00019895824,0.00013564032,0.00012589875,0.0002258514,0.015852531],"genre_scores_gemma":[0.8711546,0.00027499427,0.12369299,0.00006427767,0.000029211595,0.00008330414,0.00006561648,0.000037842212,0.0045971298],"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99981123,0.00006378191,0.000010150391,0.000021490468,0.000073085335,0.000020324871],"domain_scores_gemma":[0.999577,0.00019283964,0.00006450318,0.000047619087,0.000091731046,0.000026296026],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006141151,0.00030330982,0.00047051368,0.00035787225,0.00040794568,0.00046399696,0.00065118563,0.0009766881,0.0014418227],"category_scores_gemma":[0.0011908987,0.00015579075,0.00035532002,0.000307587,0.0006950109,0.0006446068,0.0006434553,0.0005700891,0.00016508526],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00014042262,0.000171549,0.002769482,0.00024979856,0.0000445105,0.00052399014,0.00032145568,0.904,0.028313082,0.036618244,0.0007941111,0.026053276],"study_design_scores_gemma":[0.000005576731,0.000015460471,0.00015907087,0.0000045958495,0.0000024414426,0.000026066928,0.000012974216,0.9979068,0.0010344958,0.00051383383,0.0003136032,0.0000052133155],"about_ca_topic_score_codex":0.002585745,"about_ca_topic_score_gemma":0.0019502642,"teacher_disagreement_score":0.002585745,"about_ca_system_score_codex":0.00030041064,"about_ca_system_score_gemma":0.0005341867,"threshold_uncertainty_score":0.005141437},"labels":[],"label_agreement":null},{"id":"W2135029218","doi":"10.1002/num.20100","title":"Splitting methods for Hamilton‐Jacobi equations","year":2005,"lang":"en","type":"article","venue":"Numerical Methods for Partial Differential Equations","topic":"Mathematical Biology Tumor Growth","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"","keywords":"Mathematics; Hamilton–Jacobi equation; Partial differential equation; Simple (philosophy); Nonlinear system; Partial derivative; Applied mathematics; Operator splitting; Operator (biology); Numerical analysis; Jacobi method; Mathematical analysis","score_opus":0.16001473102083244,"score_gpt":0.4977462618660423,"score_spread":0.3377315308452099,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2135029218","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.013061823,0.0015461202,0.9751153,0.0002574408,0.00017006957,0.00008996264,0.000060785103,0.0001433511,0.009555123],"genre_scores_gemma":[0.38487667,0.0029133186,0.58641833,0.0002858308,0.00028758784,0.000680138,0.00019041126,0.00036605765,0.023981698],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997775,0.00007687902,0.000013835617,0.00002169159,0.00009672041,0.000013362782],"domain_scores_gemma":[0.9995814,0.00018428224,0.00004218385,0.000060510403,0.00008913925,0.000042461255],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00079156924,0.0005800273,0.00053198886,0.0004346767,0.00034389322,0.00042021234,0.00065677956,0.0005449558,0.0037670776],"category_scores_gemma":[0.001068523,0.00020502742,0.0007065901,0.00040535734,0.00085433584,0.0008205203,0.0015843606,0.0011181362,0.00072711194],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008183987,0.0000913366,0.0006135316,0.0005211322,0.00006897658,0.00019881393,0.00058742694,0.15356852,0.04331151,0.64904755,0.004739669,0.14716968],"study_design_scores_gemma":[0.00005600763,0.000087914865,0.00024335427,0.00005373723,0.00002048962,0.0001441147,0.000054264106,0.79357773,0.005606123,0.18835519,0.011776095,0.000025048541],"about_ca_topic_score_codex":0.00062392326,"about_ca_topic_score_gemma":0.0004650492,"teacher_disagreement_score":0.0037670776,"about_ca_system_score_codex":0.00037537847,"about_ca_system_score_gemma":0.00033301735,"threshold_uncertainty_score":0.012602091},"labels":[],"label_agreement":null},{"id":"W2135631181","doi":"10.1002/num.20620","title":"The convergence of the bilinear and linear immersed finite element solutions to interface problems","year":2010,"lang":"en","type":"article","venue":"Numerical Methods for Partial Differential Equations","topic":"Advanced Numerical Methods in Computational Mathematics","field":"Engineering","cited_by":69,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Bilinear interpolation; Mathematics; Discontinuity (linguistics); Finite element method; Polygon mesh; Applied mathematics; Convergence (economics); Mathematical analysis; Bilinear form; Boundary (topology); Partial differential equation; Boundary value problem; Geometry; Physics","score_opus":0.05708578215352167,"score_gpt":0.38433235050355696,"score_spread":0.3272465683500353,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2135631181","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.16321877,0.0008209917,0.8264082,0.0005205997,0.00017415389,0.00009437498,0.00004607776,0.00015953148,0.008557305],"genre_scores_gemma":[0.8625778,0.000549109,0.1257805,0.00015071004,0.0000947977,0.00016381043,0.00012005802,0.00022337721,0.010339823],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987997,0.0005476204,0.000058841284,0.000095233605,0.00040039668,0.00009826133],"domain_scores_gemma":[0.9947305,0.0029513615,0.00042092305,0.00035332132,0.0012255554,0.00031830336],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0038813318,0.00095495686,0.0007256354,0.00134081,0.0003685615,0.0015505753,0.0010748074,0.0015334878,0.002560744],"category_scores_gemma":[0.018084655,0.000408026,0.0007421938,0.0003950003,0.00299531,0.0025262104,0.0033562835,0.0016094773,0.00045668994],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00082237745,0.00033164638,0.003670865,0.0006924762,0.000121140554,0.00033306953,0.0016088982,0.40259993,0.036322642,0.4828355,0.0012601643,0.06940122],"study_design_scores_gemma":[0.00002435752,0.00008250524,0.00025505328,0.000029482018,0.00000799536,0.00006515477,0.000059888498,0.9610473,0.0042336276,0.033329476,0.00084230665,0.000022864431],"about_ca_topic_score_codex":0.0014842489,"about_ca_topic_score_gemma":0.00037895405,"teacher_disagreement_score":0.0038813318,"about_ca_system_score_codex":0.000630066,"about_ca_system_score_gemma":0.00065473,"threshold_uncertainty_score":0.020526707},"labels":[],"label_agreement":null},{"id":"W2144512254","doi":"10.1002/num.20318","title":"Approximation capability of a bilinear immersed finite element space","year":2008,"lang":"en","type":"article","venue":"Numerical Methods for Partial Differential Equations","topic":"Numerical methods in engineering","field":"Engineering","cited_by":133,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Bilinear interpolation; Mathematics; Finite element method; Sobolev space; Partition of unity; Bilinear form; Interpolation (computer graphics); Mathematical analysis; Extended finite element method; Boundary value problem; Weak formulation; Mixed finite element method; Applied mathematics; Space (punctuation); Computer science; Physics","score_opus":0.05871642426974686,"score_gpt":0.3507324601023512,"score_spread":0.2920160358326043,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2144512254","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.09757964,0.0002416152,0.89402336,0.00019738647,0.000063610845,0.000037799444,0.00005506803,0.00021248678,0.0075889667],"genre_scores_gemma":[0.86265117,0.00022633756,0.13144638,0.00006818627,0.000037509446,0.000047405527,0.00013095804,0.00009163521,0.005300418],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9992673,0.0002501497,0.000034504184,0.00007064718,0.0003180996,0.00005935669],"domain_scores_gemma":[0.99889827,0.00042077625,0.000089807974,0.00018385236,0.00027609672,0.0001311785],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013331103,0.0004516885,0.0004905849,0.0006272816,0.00032166616,0.001225352,0.0006018939,0.00047687278,0.0021504937],"category_scores_gemma":[0.0035011703,0.00022411531,0.00048883073,0.00025047126,0.0015278631,0.0010508372,0.0023983333,0.0011361436,0.00036517586],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00032750983,0.00010894554,0.001513411,0.00026472114,0.00004629699,0.00018861964,0.00058612274,0.29073495,0.056236792,0.59928036,0.0008664778,0.04984575],"study_design_scores_gemma":[0.000013699256,0.00012889362,0.00017168917,0.000022418011,0.000007741756,0.00012089996,0.000042969885,0.9425277,0.0075163557,0.045943286,0.003487808,0.000016445318],"about_ca_topic_score_codex":0.00076860894,"about_ca_topic_score_gemma":0.00017799325,"teacher_disagreement_score":0.0021504937,"about_ca_system_score_codex":0.0002971049,"about_ca_system_score_gemma":0.00037895585,"threshold_uncertainty_score":0.0071941614},"labels":[],"label_agreement":null},{"id":"W2148629971","doi":"10.1002/num.10048","title":"Nonstandard discretizations of the generalized Nagumo reaction‐diffusion equation","year":2003,"lang":"en","type":"article","venue":"Numerical Methods for Partial Differential Equations","topic":"Nonlinear Dynamics and Pattern Formation","field":"Computer Science","cited_by":43,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Manitoba","funders":"","keywords":"Mathematics; Runge–Kutta methods; Applied mathematics; Euler method; Partial differential equation; Stability (learning theory); Scheme (mathematics); Explicit and implicit methods; Euler's formula; Backward Euler method; Diffusion; Reaction–diffusion system; Differential equation; Euler equations; Mathematical analysis; First-order partial differential equation; Computer science; Exact differential equation","score_opus":0.04633069205634143,"score_gpt":0.35556676389718334,"score_spread":0.3092360718408419,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2148629971","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.19382097,0.0009001094,0.7898512,0.0003474483,0.00038181918,0.00014077636,0.00019566195,0.00023524533,0.01412682],"genre_scores_gemma":[0.6926915,0.00046669377,0.29814228,0.0001414989,0.00005315295,0.00022249801,0.00019047949,0.000076158925,0.008015626],"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9996816,0.00008659578,0.000023046696,0.000037254325,0.00014107504,0.00003044547],"domain_scores_gemma":[0.9995963,0.0001477372,0.00007515895,0.00004675764,0.00009467308,0.00003937103],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00061698945,0.0004844462,0.0005462463,0.0004992278,0.00036779075,0.0008082465,0.0013290073,0.0010895344,0.0017515578],"category_scores_gemma":[0.0015544492,0.00032055884,0.00067792746,0.00037533534,0.0010505214,0.00056480337,0.0008667909,0.0007923488,0.0003381528],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000060322112,0.00006443659,0.0011602861,0.0001136423,0.00002608745,0.00022900617,0.0001610086,0.851996,0.015201611,0.117016405,0.0006631058,0.013308127],"study_design_scores_gemma":[0.0000071015434,0.000007783373,0.00005460228,0.0000026476441,0.0000017751996,0.000011984625,0.000004494625,0.99542195,0.0007479303,0.0030196286,0.0007164166,0.0000036827041],"about_ca_topic_score_codex":0.0051329248,"about_ca_topic_score_gemma":0.004089549,"teacher_disagreement_score":0.0051329248,"about_ca_system_score_codex":0.00086288486,"about_ca_system_score_gemma":0.001140111,"threshold_uncertainty_score":0.010206044},"labels":[],"label_agreement":null},{"id":"W2153993208","doi":"10.1002/num.20708","title":"A stabilized finite element method for convection–diffusion problems","year":2011,"lang":"en","type":"article","venue":"Numerical Methods for Partial Differential Equations","topic":"Advanced Numerical Methods in Computational Mathematics","field":"Engineering","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Laurentian University","funders":"","keywords":"Finite element method; Mathematics; Convection–diffusion equation; Partial differential equation; Galerkin method; Diffusion; A priori and a posteriori; Petrov–Galerkin method; Applied mathematics; Mixed finite element method; Flow (mathematics); Mathematical analysis; Convection; Stability (learning theory); Mechanics; Geometry; Computer science; Physics; Thermodynamics","score_opus":0.1110714545510983,"score_gpt":0.40106000421610827,"score_spread":0.28998854966501,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2153993208","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0027447958,0.00008616254,0.9955362,0.000046536865,0.000035477842,0.000033424985,0.000030001134,0.00014864214,0.0013387647],"genre_scores_gemma":[0.18565808,0.00031057425,0.8054075,0.000118773634,0.000063853484,0.0006642859,0.00022923537,0.00026036258,0.0072872844],"study_design_codex":"simulation_or_modeling","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99965775,0.00013819477,0.000016007047,0.000034602108,0.00013885622,0.000014655841],"domain_scores_gemma":[0.99938035,0.0003126253,0.000038756403,0.000048095782,0.00018646858,0.000033677028],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000714512,0.000695424,0.0007030328,0.0005789387,0.00041142644,0.00050399784,0.00089231884,0.001175421,0.0040337304],"category_scores_gemma":[0.0016476397,0.00034973957,0.00066268764,0.00035163615,0.00070846727,0.00044785664,0.0010877983,0.00084461505,0.0013995828],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010853338,0.00007659105,0.00054183375,0.00031092693,0.000052875475,0.00015627613,0.00016995125,0.7934599,0.04825859,0.06801509,0.0022716057,0.08657785],"study_design_scores_gemma":[0.000006318107,0.000016537451,0.000030044683,0.000010694664,0.0000032932946,0.000014893224,0.000004043908,0.9926258,0.0015917635,0.0024990186,0.0031928401,0.0000046523933],"about_ca_topic_score_codex":0.0015375854,"about_ca_topic_score_gemma":0.0013085956,"teacher_disagreement_score":0.0040337304,"about_ca_system_score_codex":0.00036434442,"about_ca_system_score_gemma":0.0007694788,"threshold_uncertainty_score":0.013494194},"labels":[],"label_agreement":null},{"id":"W2158966261","doi":"10.1002/num.20166","title":"Numerical analysis of the stochastic Stokes equations of Wick type","year":2006,"lang":"en","type":"article","venue":"Numerical Methods for Partial Differential Equations","topic":"Probabilistic and Robust Engineering Design","field":"Decision Sciences","cited_by":8,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université Laval","funders":"","keywords":"Mathematics; Uniqueness; Type (biology); Partial differential equation; Finite element method; Applied mathematics; Set (abstract data type); Numerical analysis; Stochastic differential equation; Stokes problem; Stochastic partial differential equation; Mathematical analysis; Computer science","score_opus":0.13782384173476883,"score_gpt":0.4318276288498558,"score_spread":0.294003787115087,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2158966261","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.09053465,0.00025575512,0.9042926,0.000308948,0.00015071576,0.000049214686,0.000037376092,0.000117298325,0.004253459],"genre_scores_gemma":[0.8275479,0.00027577401,0.16727298,0.000110706664,0.00006846573,0.0001367629,0.000054850618,0.000049599974,0.0044828868],"study_design_codex":"simulation_or_modeling","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994236,0.00022733337,0.000029944555,0.000044181972,0.00022755678,0.000047418107],"domain_scores_gemma":[0.99893254,0.00045433777,0.00015621066,0.00011442138,0.00021715208,0.00012520925],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015301032,0.0003134921,0.0008125752,0.0005842533,0.00037325453,0.00089093874,0.00055297965,0.0008686884,0.00096992566],"category_scores_gemma":[0.0032057227,0.00031323457,0.00056088634,0.00034320034,0.0018062312,0.0007359466,0.0009832287,0.0006413027,0.0001468995],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000063598745,0.000046871708,0.00081425975,0.000060352184,0.000036395304,0.00009586124,0.00006681346,0.82342017,0.008743804,0.15988238,0.00038252436,0.0063869874],"study_design_scores_gemma":[0.0000048018437,0.000006532014,0.000037801354,0.000003157209,0.0000019784839,0.0000112525295,0.0000034838836,0.99450004,0.00075648475,0.004406796,0.00026281463,0.000004887715],"about_ca_topic_score_codex":0.0013809653,"about_ca_topic_score_gemma":0.0008114541,"teacher_disagreement_score":0.0015301032,"about_ca_system_score_codex":0.0005428331,"about_ca_system_score_gemma":0.0007607536,"threshold_uncertainty_score":0.008092046},"labels":[],"label_agreement":null},{"id":"W2160959130","doi":"10.1002/num.10009","title":"Refined mixed finite element method for the elasticity problem in a polygonal domain","year":2002,"lang":"en","type":"article","venue":"Numerical Methods for Partial Differential Equations","topic":"Advanced Numerical Methods in Computational Mathematics","field":"Engineering","cited_by":8,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Moncton","funders":"","keywords":"Mathematics; Sobolev space; Lagrange multiplier; Elasticity (physics); Finite element method; Mathematical analysis; Displacement field; Applied mathematics; Geometry; Mathematical optimization","score_opus":0.07148462939033288,"score_gpt":0.38406434160933,"score_spread":0.3125797122189971,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2160959130","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.020180207,0.00017688962,0.97704244,0.000113720314,0.00003468902,0.000040728326,0.00006108567,0.00008448027,0.0022657618],"genre_scores_gemma":[0.3769846,0.00025367475,0.6166632,0.00010106433,0.000041348918,0.00028651787,0.00017941411,0.00013720336,0.005352958],"study_design_codex":"simulation_or_modeling","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995382,0.00017246074,0.00002226853,0.000045725013,0.00019425506,0.000027099677],"domain_scores_gemma":[0.99930036,0.00040827997,0.000085178304,0.000058663973,0.00010982201,0.000037638012],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010176852,0.0006023943,0.00090216805,0.0008807019,0.000312558,0.000838511,0.0013652275,0.0012607529,0.002817485],"category_scores_gemma":[0.0031456847,0.00053974916,0.00075819914,0.00051332713,0.00089591055,0.0009481342,0.0014415297,0.0009790064,0.0005321441],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00016696448,0.00005748919,0.0008138111,0.00017710942,0.00005286953,0.00016357776,0.00013083825,0.89979935,0.009964625,0.058536284,0.0005007043,0.029636411],"study_design_scores_gemma":[0.0000063294933,0.000014591687,0.00003099057,0.000006188463,0.0000031544248,0.000014974032,0.000006550916,0.99675316,0.0004371601,0.0021250115,0.0005988928,0.000002968337],"about_ca_topic_score_codex":0.0015625622,"about_ca_topic_score_gemma":0.0014428563,"teacher_disagreement_score":0.002817485,"about_ca_system_score_codex":0.0004206893,"about_ca_system_score_gemma":0.000499867,"threshold_uncertainty_score":0.009425402},"labels":[],"label_agreement":null},{"id":"W2165348132","doi":"10.1002/num.20534","title":"A posteriori error estimators for optimal distributed control governed by the first-order linear hyperbolic equation: DG method","year":2009,"lang":"en","type":"article","venue":"Numerical Methods for Partial Differential Equations","topic":"Advanced Numerical Methods in Computational Mathematics","field":"Engineering","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Estimator; Finite element method; A priori and a posteriori; Mathematics; Polygon mesh; Discontinuous Galerkin method; Partial differential equation; Applied mathematics; Hyperbolic partial differential equation; Galerkin method; Mixed finite element method; Superconvergence; Partial derivative; Mathematical optimization; Mathematical analysis; Geometry","score_opus":0.0487595900108339,"score_gpt":0.39486306966171303,"score_spread":0.3461034796508791,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2165348132","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.007126924,0.00024516924,0.9919046,0.000071703034,0.000018183804,0.000009884599,0.000009711763,0.000036447,0.0005772943],"genre_scores_gemma":[0.533724,0.0009759049,0.45974094,0.00014922419,0.0000817349,0.00016491531,0.00013167306,0.00016156833,0.004869999],"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9997398,0.00012223824,0.000011968254,0.00003137084,0.0000797735,0.000014865472],"domain_scores_gemma":[0.99827766,0.001139512,0.00015258277,0.00012429227,0.00026391537,0.000042033076],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0020512247,0.0005721563,0.00046037586,0.0005847257,0.00015460628,0.0005930371,0.00058806065,0.0008835538,0.000912479],"category_scores_gemma":[0.004946702,0.0002115652,0.00034125423,0.00022668947,0.00088641874,0.0007606101,0.00084915943,0.0008986981,0.00022103712],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000977873,0.00004510228,0.0011393208,0.00021940543,0.000043688957,0.000055044507,0.00009966407,0.8024741,0.0100585185,0.1193108,0.00084339414,0.06561319],"study_design_scores_gemma":[0.000003720796,0.000008596788,0.000063000465,0.000008131236,0.0000031084708,0.000008426628,0.0000038119936,0.99174845,0.0008712969,0.0068355654,0.00044201541,0.0000038917187],"about_ca_topic_score_codex":0.0010343145,"about_ca_topic_score_gemma":0.0006201078,"teacher_disagreement_score":0.0020512247,"about_ca_system_score_codex":0.00041004093,"about_ca_system_score_gemma":0.00042238866,"threshold_uncertainty_score":0.010847986},"labels":[],"label_agreement":null},{"id":"W2166217501","doi":"10.1002/num.10032","title":"A domain decomposition preconditioner for hermite collocation problems","year":2003,"lang":"en","type":"article","venue":"Numerical Methods for Partial Differential Equations","topic":"Advanced Numerical Methods in Computational Mathematics","field":"Engineering","cited_by":6,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"National Research Council Canada","funders":"","keywords":"Preconditioner; Mathematics; Domain decomposition methods; Piecewise; Discretization; Hermite polynomials; Collocation (remote sensing); Partial differential equation; Applied mathematics; Collocation method; Generalized minimal residual method; Multigrid method; Boundary (topology); Linear system; Finite element method; Mathematical analysis; Computer science; Differential equation","score_opus":0.05283478246619061,"score_gpt":0.40449036038163677,"score_spread":0.35165557791544616,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2166217501","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0063063963,0.000050996525,0.9922585,0.000073173185,0.00003317948,0.000019452642,0.00002075228,0.0001947667,0.0010427914],"genre_scores_gemma":[0.1546195,0.000195542,0.8400596,0.00011412076,0.00007774564,0.00015883087,0.0001508319,0.00013724432,0.0044866386],"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99939907,0.00019286326,0.000026087962,0.00006746875,0.00026139876,0.000053063504],"domain_scores_gemma":[0.99957496,0.00011907841,0.00004416094,0.00010602048,0.00012125137,0.00003438736],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000728202,0.00039724415,0.00065646385,0.0003081441,0.00034849162,0.0005874637,0.00059053645,0.00088271906,0.0022254856],"category_scores_gemma":[0.0012863968,0.00026488837,0.0004106968,0.0003627984,0.00069250964,0.00049420644,0.0010513314,0.0014788088,0.00087887066],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00030045962,0.00019626696,0.00089325354,0.00033647314,0.000061423656,0.00026881063,0.0002672343,0.4338974,0.13587783,0.13570373,0.009101017,0.28309608],"study_design_scores_gemma":[0.00003201762,0.00004850943,0.00014572058,0.000010536824,0.0000067836036,0.000048338108,0.000013734971,0.97019863,0.015993794,0.007032033,0.006459218,0.000010745484],"about_ca_topic_score_codex":0.0009003498,"about_ca_topic_score_gemma":0.0009287215,"teacher_disagreement_score":0.0022254856,"about_ca_system_score_codex":0.0002782548,"about_ca_system_score_gemma":0.00066917884,"threshold_uncertainty_score":0.0074449778},"labels":[],"label_agreement":null},{"id":"W2166493386","doi":"10.1002/num.20116","title":"From the fitting techniques to accurate schemes for the Liouville-Bratu-Gelfand problem","year":2005,"lang":"en","type":"article","venue":"Numerical Methods for Partial Differential Equations","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":50,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Moncton","funders":"","keywords":"Mathematics; Scheme (mathematics); Applied mathematics; Construct (python library); Mathematical optimization; Mathematical analysis; Computer science","score_opus":0.13646047638668368,"score_gpt":0.46722507172526667,"score_spread":0.330764595338583,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2166493386","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0034279707,0.0012709016,0.9885936,0.00071839505,0.00015660722,0.000038210772,0.000023340606,0.00013354304,0.005637465],"genre_scores_gemma":[0.18323103,0.0053896117,0.78681755,0.0007888637,0.0004637269,0.00035242992,0.00018348549,0.0004408549,0.022332463],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9986149,0.00048754606,0.00006415028,0.00009834533,0.0006791921,0.00005588264],"domain_scores_gemma":[0.99814403,0.00091020594,0.0001969741,0.0003389043,0.00030603702,0.0001038543],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003156391,0.0010284544,0.00073466427,0.0011680751,0.0006991679,0.0016899607,0.0016368561,0.0021547207,0.003853613],"category_scores_gemma":[0.01064811,0.0005908605,0.0010902747,0.0010909624,0.002583654,0.0038622038,0.0028051347,0.003855957,0.0013835166],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003336901,0.000028100945,0.0002428028,0.00019192525,0.00002036213,0.000046294583,0.00035224002,0.0981722,0.003955285,0.84361845,0.002153231,0.051185794],"study_design_scores_gemma":[0.000022710103,0.00004619744,0.0001488061,0.00009743718,0.000010609665,0.00009486659,0.000055220746,0.51942873,0.002465904,0.44942284,0.028166033,0.00004068198],"about_ca_topic_score_codex":0.0012022944,"about_ca_topic_score_gemma":0.00067576586,"teacher_disagreement_score":0.003853613,"about_ca_system_score_codex":0.0010170344,"about_ca_system_score_gemma":0.0011160929,"threshold_uncertainty_score":0.016692817},"labels":[],"label_agreement":null},{"id":"W2169376900","doi":"10.1002/num.20264","title":"A space‐time mixed‐hybrid finite element method for the damped wave equation","year":2007,"lang":"en","type":"article","venue":"Numerical Methods for Partial Differential Equations","topic":"Advanced Numerical Methods in Computational Mathematics","field":"Engineering","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Laurentian University","funders":"","keywords":"Mathematics; Finite element method; Scheme (mathematics); Partial differential equation; Space (punctuation); Mixed finite element method; Applied mathematics; Element (criminal law); Spacetime; Wave equation; Mathematical analysis; Space time; Partial derivative; Computer science; Physics","score_opus":0.08221987752467376,"score_gpt":0.4036142422790275,"score_spread":0.32139436475435373,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2169376900","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.006896618,0.000113920694,0.990889,0.000083341634,0.00006000892,0.00003361877,0.000028427829,0.00010471333,0.0017903041],"genre_scores_gemma":[0.22870715,0.0002511579,0.75947326,0.00011057838,0.000046491856,0.00038590032,0.00010707275,0.00010937101,0.010808964],"study_design_codex":"simulation_or_modeling","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99977106,0.000076209864,0.000010328825,0.000018812405,0.000110970286,0.000012545181],"domain_scores_gemma":[0.99975616,0.000109781184,0.000023139397,0.00002451246,0.000065171414,0.000021256983],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005998222,0.00039034963,0.00046007274,0.00041541536,0.00034480848,0.0005642731,0.001041082,0.0010380528,0.0040859035],"category_scores_gemma":[0.0007395441,0.00026577886,0.00052115123,0.00029409508,0.00059042196,0.0005529947,0.00080692704,0.0006909951,0.0007368582],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001375851,0.00015802847,0.00091740064,0.00030559715,0.000058747493,0.0002580134,0.00027183173,0.71367604,0.051900856,0.12263616,0.0016537616,0.10802602],"study_design_scores_gemma":[0.000008811646,0.000024263167,0.000046354053,0.0000073823667,0.000003449032,0.000027683836,0.0000069460725,0.9937867,0.0015098698,0.0017022856,0.0028699578,0.000006272094],"about_ca_topic_score_codex":0.0012572806,"about_ca_topic_score_gemma":0.00127047,"teacher_disagreement_score":0.0040859035,"about_ca_system_score_codex":0.000246752,"about_ca_system_score_gemma":0.00053483556,"threshold_uncertainty_score":0.013668716},"labels":[],"label_agreement":null},{"id":"W2324833241","doi":"10.1002/num.21836","title":"Continuous time mean‐variance optimal portfolio allocation under jump diffusion: An numerical impulse control approach","year":2013,"lang":"en","type":"article","venue":"Numerical Methods for Partial Differential Equations","topic":"Stochastic processes and financial applications","field":"Economics, Econometrics and Finance","cited_by":42,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Hamilton–Jacobi–Bellman equation; Viscosity solution; Mathematics; Jump diffusion; Monotone polygon; Efficient frontier; Partial differential equation; Mathematical optimization; Portfolio; Applied mathematics; Optimal control; Jump; Mathematical analysis; Economics; Finance","score_opus":0.037126315150682924,"score_gpt":0.30442006892483875,"score_spread":0.2672937537741558,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2324833241","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.008649451,0.00040583062,0.9850975,0.00046088095,0.0000766206,0.000046060108,0.000026497153,0.000072488365,0.0051646065],"genre_scores_gemma":[0.5313538,0.0009941001,0.45263553,0.0003612028,0.00013936112,0.0005622697,0.00011972207,0.0001441317,0.013689861],"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9996524,0.00016053398,0.000015521613,0.000033033728,0.00010530425,0.000033248554],"domain_scores_gemma":[0.9987571,0.0008541868,0.00012140291,0.00006115394,0.00014112267,0.0000649738],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001633358,0.0006854609,0.0009716409,0.0006781423,0.00046124915,0.00121551,0.0009192251,0.0017707319,0.0031515888],"category_scores_gemma":[0.004015271,0.00044720844,0.00081754907,0.0006381852,0.0017099124,0.00092948496,0.0014963277,0.0015459483,0.0003056023],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002270812,0.000031370186,0.00029196605,0.00007140465,0.000024343142,0.000073131916,0.00006211694,0.90975976,0.0013501738,0.0782547,0.00045256186,0.009605765],"study_design_scores_gemma":[0.000004756912,0.0000046138166,0.000011495167,0.000004316908,0.0000018377713,0.000004284723,0.0000024640976,0.9951519,0.00008844818,0.0044374685,0.00028565965,0.000002679872],"about_ca_topic_score_codex":0.0038375533,"about_ca_topic_score_gemma":0.002540171,"teacher_disagreement_score":0.0038375533,"about_ca_system_score_codex":0.0010597102,"about_ca_system_score_gemma":0.0015740839,"threshold_uncertainty_score":0.010543108},"labels":[],"label_agreement":null},{"id":"W2552346069","doi":"10.1002/num.22121","title":"Error estimates of fully discrete finite element solutions for the 2D Cahn–Hilliard equation with infinite time horizon","year":2016,"lang":"en","type":"article","venue":"Numerical Methods for Partial Differential Equations","topic":"Solidification and crystal growth phenomena","field":"Materials Science","cited_by":10,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Calgary","funders":"","keywords":"Mathematics; Finite element method; Piecewise; A priori and a posteriori; Cahn–Hilliard equation; Mixed finite element method; Partial differential equation; Applied mathematics; Mathematical analysis; Piecewise linear function; Element (criminal law); Extended finite element method","score_opus":0.08283708201035438,"score_gpt":0.36388067159127746,"score_spread":0.28104358958092307,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2552346069","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.02066985,0.00033035537,0.9757692,0.0002685271,0.00006725763,0.00002454748,0.000040932235,0.000051589755,0.0027777448],"genre_scores_gemma":[0.6273887,0.0008252937,0.36155322,0.00016021385,0.00009104854,0.0002251067,0.0002631798,0.00017810991,0.009315194],"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9992181,0.00027012095,0.00006068492,0.000087275104,0.00032140888,0.000042429638],"domain_scores_gemma":[0.99578875,0.002663028,0.0004150597,0.00029306285,0.0006847281,0.00015545344],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0038800398,0.0009271487,0.0007978285,0.000972563,0.00040816743,0.0015000156,0.0011641042,0.0014102382,0.0016624287],"category_scores_gemma":[0.009501999,0.0003187441,0.0006556935,0.000302449,0.0020312364,0.0017468402,0.0023841034,0.0015794232,0.00025350755],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001660014,0.00006984445,0.0014586851,0.0003534077,0.000055914952,0.000099936755,0.00026172883,0.6682802,0.011548869,0.29455084,0.0006868621,0.022467632],"study_design_scores_gemma":[0.000004350093,0.000015724576,0.000092591894,0.000017777813,0.000003086093,0.000018592524,0.000014623085,0.9873217,0.0014544949,0.010611088,0.00043557477,0.000010335633],"about_ca_topic_score_codex":0.0024536569,"about_ca_topic_score_gemma":0.0012200193,"teacher_disagreement_score":0.0038800398,"about_ca_system_score_codex":0.0008756629,"about_ca_system_score_gemma":0.0011470628,"threshold_uncertainty_score":0.020519853},"labels":[],"label_agreement":null},{"id":"W2592414642","doi":"10.1002/num.22122","title":"Global energy‐tracking identities and global energy‐tracking splitting FDTD schemes for the <scp>D</scp>rude Models of <scp>M</scp>axwell's equations in three‐dimensional metamaterials","year":2017,"lang":"en","type":"article","venue":"Numerical Methods for Partial Differential Equations","topic":"Electromagnetic Simulation and Numerical Methods","field":"Engineering","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"","keywords":"Metamaterial; Mathematics; Finite-difference time-domain method; Drude model; Energy (signal processing); Norm (philosophy); Tracking (education); Applied mathematics; Mathematical analysis; Physics; Quantum mechanics","score_opus":0.06738621892577124,"score_gpt":0.36560808619049273,"score_spread":0.2982218672647215,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2592414642","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.019825142,0.00031272526,0.97007036,0.00024833842,0.00008318161,0.00006161956,0.000047771595,0.000056838642,0.009294001],"genre_scores_gemma":[0.5505036,0.0007002933,0.43037072,0.0002532351,0.00007178187,0.00031632406,0.00020060591,0.00014547972,0.017437985],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9997975,0.000062630796,0.000013495024,0.000023614273,0.00008550284,0.000017340086],"domain_scores_gemma":[0.999726,0.00007974463,0.000043297397,0.000058615573,0.00007296871,0.000019385392],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007881412,0.0005650583,0.0003545416,0.000389398,0.00040991293,0.00063448487,0.00079081603,0.000816772,0.001803575],"category_scores_gemma":[0.0012317349,0.00018480713,0.00063583115,0.00026538814,0.00093031477,0.0011608033,0.0010806425,0.0011099619,0.00037541782],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000501774,0.000053830445,0.0008194933,0.00010942875,0.000024265019,0.000115734656,0.00037184794,0.19277067,0.018266235,0.7476057,0.0015344837,0.038278162],"study_design_scores_gemma":[0.000009349023,0.00001825572,0.00009002652,0.000009890822,0.00000489171,0.000042860724,0.000023081948,0.9696027,0.0022151761,0.025418414,0.0025561685,0.000009045187],"about_ca_topic_score_codex":0.0014649845,"about_ca_topic_score_gemma":0.0012959266,"teacher_disagreement_score":0.001803575,"about_ca_system_score_codex":0.0007540398,"about_ca_system_score_gemma":0.00061105716,"threshold_uncertainty_score":0.00603354},"labels":[],"label_agreement":null},{"id":"W2602303763","doi":"10.1002/num.22207","title":"A scattering‐based algorithm for wave propagation in one dimension","year":2017,"lang":"en","type":"article","venue":"Numerical Methods for Partial Differential Equations","topic":"Advanced Mathematical Physics Problems","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"","keywords":"Mathematics; Dimension (graph theory); Variable coefficient; Variable (mathematics); Mathematical analysis; Space (punctuation); Wave equation; Algorithm; Scheme (mathematics); Scattering; Applied mathematics; Pure mathematics; Computer science; Optics; Physics","score_opus":0.223439433149429,"score_gpt":0.4571232918997238,"score_spread":0.2336838587502948,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2602303763","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0024469174,0.000021533919,0.9961212,0.00003603574,0.00002719436,0.00001921384,0.000013161814,0.00009452929,0.0012200524],"genre_scores_gemma":[0.06642624,0.00011387125,0.929979,0.00006252747,0.000023294835,0.00013605061,0.00010280643,0.000100086276,0.0030561131],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9997898,0.000039042847,0.000013596066,0.000021857359,0.00011634896,0.000019444975],"domain_scores_gemma":[0.9996816,0.00010625662,0.000020331192,0.00006835868,0.0001011613,0.000022265014],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004634022,0.00038840936,0.00042270086,0.00039518808,0.00048797598,0.00062099204,0.0011887545,0.0007870072,0.0031424353],"category_scores_gemma":[0.0011879547,0.00026508418,0.00048700895,0.00064435246,0.0005994536,0.0008712914,0.0011501855,0.0011850354,0.0011427794],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00011699,0.00016789685,0.00059650984,0.00022778857,0.00006790255,0.00014764824,0.0003174208,0.24970095,0.06261933,0.3994337,0.0040778383,0.282526],"study_design_scores_gemma":[0.000026675205,0.000032585387,0.00006613892,0.000012739391,0.0000069502926,0.00006143373,0.000010333944,0.9686062,0.0041853357,0.022503054,0.004475499,0.000013016993],"about_ca_topic_score_codex":0.00089761475,"about_ca_topic_score_gemma":0.0010397503,"teacher_disagreement_score":0.0031424353,"about_ca_system_score_codex":0.0003283973,"about_ca_system_score_gemma":0.0008398211,"threshold_uncertainty_score":0.010512531},"labels":[],"label_agreement":null},{"id":"W2602943478","doi":"10.1002/num.22146","title":"A weak Galerkin finite element method for a coupled Stokes‐Darcy problem","year":2017,"lang":"en","type":"article","venue":"Numerical Methods for Partial Differential Equations","topic":"Advanced Numerical Methods in Computational Mathematics","field":"Engineering","cited_by":14,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Calgary","funders":"National Natural Science Foundation of China","keywords":"Mathematics; Piecewise; Galerkin method; Finite element method; Darcy's law; Conservation of mass; Discontinuous Galerkin method; Mathematical analysis; Partial differential equation; Darcy–Weisbach equation; Stokes flow; Conservation law; Convergence (economics); Applied mathematics; Coupling (piping); Flow (mathematics); Porous medium; Geometry; Porosity; Mechanics; Physics","score_opus":0.08239897848254563,"score_gpt":0.4327723312654992,"score_spread":0.35037335278295356,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2602943478","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.003802085,0.00005965403,0.99503607,0.000080285296,0.000027791455,0.000033271695,0.00001613839,0.000043500666,0.0009011967],"genre_scores_gemma":[0.16973393,0.0002771527,0.8215917,0.00016979426,0.000077388635,0.0005573799,0.00012791125,0.00015623217,0.007308464],"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99953985,0.00019705326,0.00002185319,0.000047526806,0.00016611376,0.000027662087],"domain_scores_gemma":[0.999281,0.0004248821,0.00005300868,0.00004309937,0.00015207424,0.000045907047],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013025518,0.00092356507,0.00077944,0.0007110819,0.0005389413,0.00073578313,0.0010600666,0.0017453143,0.0022933085],"category_scores_gemma":[0.0022747957,0.00044883555,0.0006541948,0.00039946378,0.0011434528,0.0010210974,0.0016159104,0.001490695,0.00070953614],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00011177203,0.00014882491,0.00086691784,0.0002896805,0.00004032563,0.00013901076,0.00023708896,0.83622116,0.024508972,0.08034839,0.0009846431,0.05610313],"study_design_scores_gemma":[0.000004945638,0.000021024505,0.00002709809,0.000005752414,0.0000026346468,0.00001344864,0.000006868251,0.9950478,0.0009575063,0.0025431311,0.0013657495,0.000004144098],"about_ca_topic_score_codex":0.0012469098,"about_ca_topic_score_gemma":0.0010283015,"teacher_disagreement_score":0.0022933085,"about_ca_system_score_codex":0.0004663726,"about_ca_system_score_gemma":0.0011471207,"threshold_uncertainty_score":0.0076718926},"labels":[],"label_agreement":null},{"id":"W2765270282","doi":"10.1002/num.22205","title":"Dynamical study of two predators and one prey system with fractional Fourier transform method","year":2017,"lang":"en","type":"article","venue":"Numerical Methods for Partial Differential Equations","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"","keywords":"Mathematics; Stability (learning theory); Applied mathematics; Diagonal; Operator (biology); Fourier transform; Representation (politics); Fractional calculus; Partial differential equation; Domain (mathematical analysis); Dynamical system (definition); Work (physics); Dynamical systems theory; Term (time); Mathematical analysis; Statistical physics; Computer science","score_opus":0.11614286136926945,"score_gpt":0.45269469655455236,"score_spread":0.3365518351852829,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2765270282","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.4605161,0.0010894446,0.52082074,0.0008925372,0.00014322261,0.0000797534,0.0000821744,0.00011989554,0.016256105],"genre_scores_gemma":[0.9652591,0.00028407574,0.030038314,0.00006124638,0.000046209374,0.00007165722,0.000029250672,0.000018807792,0.004191354],"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9998518,0.00004189821,0.0000066353323,0.00002269988,0.000048046935,0.000028854058],"domain_scores_gemma":[0.9996797,0.00013486453,0.00007259553,0.000021097672,0.000054850683,0.000036919522],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00042816292,0.00044318193,0.0007658081,0.00051072065,0.0009441484,0.00059103814,0.0006914311,0.0011106017,0.0015291899],"category_scores_gemma":[0.00083916995,0.00021345442,0.00081511936,0.0002836591,0.0011081452,0.0009186153,0.0008157281,0.00066928315,0.00009553209],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008335638,0.00006304359,0.0022689903,0.00013064618,0.00008246433,0.00083324476,0.00039677607,0.87801594,0.016176773,0.09511397,0.00048270146,0.006352021],"study_design_scores_gemma":[0.000004487561,0.000009671339,0.00013576413,0.0000025981572,0.000004071508,0.000029611998,0.00001889914,0.9970291,0.00022926622,0.0023845704,0.00014553688,0.000006412386],"about_ca_topic_score_codex":0.007285249,"about_ca_topic_score_gemma":0.0024382027,"teacher_disagreement_score":0.007285249,"about_ca_system_score_codex":0.00054659,"about_ca_system_score_gemma":0.00065474777,"threshold_uncertainty_score":0.014485657},"labels":[],"label_agreement":null},{"id":"W2776780344","doi":"10.1002/num.22237","title":"A reliable algorithm for the approximate solution of the nonlinear Lane‐Emden type equations arising in astrophysics","year":2017,"lang":"en","type":"article","venue":"Numerical Methods for Partial Differential Equations","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":55,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Mathematics; Chebyshev polynomials; Jacobi polynomials; Polynomial; Gegenbauer polynomials; Legendre polynomials; Convergence (economics); Nonlinear system; Orthogonal polynomials; Applied mathematics; Numerical analysis; Mathematical analysis; Orthogonal collocation; Classical orthogonal polynomials; Collocation method; Differential equation; Physics","score_opus":0.14619412564410872,"score_gpt":0.44003111446837373,"score_spread":0.293836988824265,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2776780344","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.001575545,0.00004151693,0.9979723,0.000022690852,0.0000127678795,0.000009677719,0.0000056391254,0.00009528167,0.0002646135],"genre_scores_gemma":[0.065574974,0.00015168086,0.9326796,0.000037166392,0.000031472006,0.0001531025,0.000066804634,0.00007791632,0.0012273391],"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9995024,0.00014284748,0.000031104308,0.00006146659,0.00022588664,0.00003620737],"domain_scores_gemma":[0.9988852,0.00047162146,0.00010595843,0.00013900266,0.00036338993,0.000034729463],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011056004,0.0006261473,0.000667939,0.0007891742,0.0006703879,0.00059448415,0.0011305591,0.001203936,0.001980513],"category_scores_gemma":[0.0042130426,0.00039373038,0.0006123544,0.0006693553,0.00066538487,0.0010132868,0.0010741461,0.0014844411,0.00097140763],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00013613839,0.00006141846,0.00097605283,0.00021427564,0.000066080676,0.00013546053,0.0002789788,0.6818235,0.019552572,0.06673036,0.0024956635,0.22752953],"study_design_scores_gemma":[0.000008447123,0.000017284765,0.000060877894,0.0000062903246,0.000003840108,0.00002384565,0.000009067454,0.9933843,0.0011995042,0.003926633,0.0013532719,0.000006566071],"about_ca_topic_score_codex":0.0027252457,"about_ca_topic_score_gemma":0.0021561566,"teacher_disagreement_score":0.0027252457,"about_ca_system_score_codex":0.00046636947,"about_ca_system_score_gemma":0.0013571933,"threshold_uncertainty_score":0.0066254735},"labels":[],"label_agreement":null},{"id":"W2792443376","doi":"10.1002/num.22249","title":"High‐order energy‐preserving schemes for the improved Boussinesq equation","year":2018,"lang":"en","type":"article","venue":"Numerical Methods for Partial Differential Equations","topic":"Numerical methods for differential equations","field":"Mathematics","cited_by":16,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"China Postdoctoral Science Foundation; Wuyi University; Natural Science Foundation of Jiangsu Province; National Natural Science Foundation of China","keywords":"Discretization; Mathematics; Boundary value problem; Finite element method; Finite volume method; Energy (signal processing); Finite difference; Fourier transform; Pseudo-spectral method; Mathematical analysis; Hamiltonian (control theory); Spectral method; Applied mathematics; Mathematical optimization; Fourier analysis; Physics","score_opus":0.13939490551795644,"score_gpt":0.44344344214266074,"score_spread":0.3040485366247043,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2792443376","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.01750377,0.0005558179,0.97603637,0.00017462528,0.00009365274,0.000052483647,0.00002722956,0.00008073109,0.0054752966],"genre_scores_gemma":[0.4402335,0.0011706642,0.5452484,0.00015139098,0.00011716409,0.00025511577,0.000111318295,0.00011823717,0.012594122],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9997366,0.00007566771,0.000014535614,0.000020809795,0.00012763042,0.000024768915],"domain_scores_gemma":[0.99972147,0.000094902985,0.00003867251,0.000051957482,0.00007344635,0.000019641497],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00076831196,0.00048410674,0.00046870235,0.0004813119,0.00044963916,0.00046397658,0.0010308434,0.0007749814,0.0017050139],"category_scores_gemma":[0.0011648013,0.00018494374,0.0005869259,0.00034846173,0.0009073629,0.0010907291,0.0008992185,0.001356549,0.00039124375],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00009981298,0.00008186225,0.00077426905,0.00026118863,0.00003273848,0.000116812895,0.00044217,0.3084608,0.031194976,0.56152743,0.0018691187,0.09513872],"study_design_scores_gemma":[0.000015539023,0.00003192201,0.00012699701,0.000010601385,0.0000044647904,0.00003445212,0.000013576262,0.9749699,0.0023119254,0.017976379,0.004492266,0.000011977377],"about_ca_topic_score_codex":0.0023679852,"about_ca_topic_score_gemma":0.0015254762,"teacher_disagreement_score":0.0023679852,"about_ca_system_score_codex":0.000617622,"about_ca_system_score_gemma":0.0006496509,"threshold_uncertainty_score":0.0057038665},"labels":[],"label_agreement":null},{"id":"W2945197905","doi":"10.1002/num.22386","title":"<i>H</i><sup>1</sup>‐superconvergence of finite difference method based on <i>Q</i><sub>1</sub>‐element on quasi‐uniform mesh for the 3D Poisson equation","year":2019,"lang":"en","type":"article","venue":"Numerical Methods for Partial Differential Equations","topic":"Advanced Numerical Methods in Computational Mathematics","field":"Engineering","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Calgary","funders":"National Science Foundation","keywords":"Superconvergence; Mathematics; Interpolation (computer graphics); Finite element method; Function (biology); Poisson's equation; Mathematical analysis; Order (exchange); Poisson distribution; Applied mathematics; Geometry; Physics","score_opus":0.05320152254325928,"score_gpt":0.36078794076198356,"score_spread":0.3075864182187243,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2945197905","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.2721615,0.00029678838,0.71605426,0.00027886886,0.00016476888,0.000059262795,0.000048620936,0.00023053904,0.010705306],"genre_scores_gemma":[0.8750916,0.00025071608,0.1203629,0.00010535523,0.000045114117,0.00009579794,0.000100599915,0.0001270502,0.0038209285],"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9998331,0.000050520983,0.000009594758,0.00001475561,0.000072723575,0.000019209958],"domain_scores_gemma":[0.99934214,0.00032255152,0.000054940723,0.000071158545,0.00018066964,0.000028450702],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006547696,0.00025884784,0.00033213687,0.0003003087,0.0003189654,0.0005245501,0.00046884376,0.00056547316,0.001506178],"category_scores_gemma":[0.00145783,0.00014378909,0.00038218588,0.00017862215,0.00076099904,0.00040182276,0.0003545002,0.0005658255,0.00020575516],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0002899307,0.00014177378,0.0062907506,0.00023728785,0.000050584364,0.00032872084,0.00039130886,0.8155551,0.039591406,0.061409682,0.0018635856,0.073849864],"study_design_scores_gemma":[0.0000033665465,0.000016340038,0.00024170104,0.000004400303,0.0000017478343,0.000021577904,0.0000133306285,0.9962767,0.0022683563,0.0008049885,0.00034431164,0.0000031936836],"about_ca_topic_score_codex":0.0046596327,"about_ca_topic_score_gemma":0.0030982709,"teacher_disagreement_score":0.0046596327,"about_ca_system_score_codex":0.00032942957,"about_ca_system_score_gemma":0.0006081855,"threshold_uncertainty_score":0.009265006},"labels":[],"label_agreement":null},{"id":"W2955098095","doi":"10.1002/num.22408","title":"The discrete duality finite volume method for a class of quasi‐Newtonian Stokes flows","year":2019,"lang":"en","type":"article","venue":"Numerical Methods for Partial Differential Equations","topic":"Advanced Numerical Methods in Computational Mathematics","field":"Engineering","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Calgary","funders":"Natural Science Foundation of Shaanxi Province; CMG Reservoir Simulation Foundation","keywords":"Mathematics; Duality (order theory); Polygon mesh; Finite volume method; Convergence (economics); Newtonian fluid; Rate of convergence; Compressibility; Mathematical analysis; Tensor (intrinsic definition); Applied mathematics; Geometry; Pure mathematics; Classical mechanics; Computer science; Physics; Key (lock)","score_opus":0.04587544269548777,"score_gpt":0.4041049037693817,"score_spread":0.3582294610738939,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2955098095","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.01368981,0.00018920928,0.9840402,0.000105695384,0.000068248904,0.000028028133,0.00001603201,0.00004979316,0.0018130413],"genre_scores_gemma":[0.49188748,0.00047478138,0.5009336,0.00013480919,0.00014440119,0.00020161415,0.00010156396,0.00009313297,0.0060285195],"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9996575,0.0001484731,0.000012197066,0.000033757184,0.00012212599,0.000025997462],"domain_scores_gemma":[0.99964035,0.00017539981,0.000036526577,0.000034114473,0.00006822774,0.000045261968],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008406891,0.0003915023,0.000602467,0.0007108803,0.0003321388,0.00083975354,0.0007721798,0.00072865706,0.0010709623],"category_scores_gemma":[0.0013522827,0.00020922674,0.0006351477,0.0003178692,0.001535282,0.0008022541,0.0012183553,0.0011970003,0.00016582916],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000093605406,0.00009941852,0.0011158533,0.00018154588,0.00003231327,0.00015247813,0.00018731321,0.4909859,0.016308859,0.42224222,0.0010899996,0.06751051],"study_design_scores_gemma":[0.0000072244507,0.000017306971,0.0000398644,0.0000044079875,0.0000017546762,0.000023936384,0.000006129166,0.98643726,0.00073320145,0.011251996,0.0014726815,0.000004250597],"about_ca_topic_score_codex":0.0010035861,"about_ca_topic_score_gemma":0.0005250656,"teacher_disagreement_score":0.0010709623,"about_ca_system_score_codex":0.0005070212,"about_ca_system_score_gemma":0.000843129,"threshold_uncertainty_score":0.0044460893},"labels":[],"label_agreement":null},{"id":"W2981674547","doi":"10.1002/num.22435","title":"Unconditionally maximum principle preserving finite element schemes for the surface Allen–Cahn type equations","year":2019,"lang":"en","type":"article","venue":"Numerical Methods for Partial Differential Equations","topic":"Solidification and crystal growth phenomena","field":"Materials Science","cited_by":45,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Calgary","funders":"National Natural Science Foundation of China","keywords":"Mathematics; Discretization; Allen–Cahn equation; Finite element method; Maximum principle; Curvature; Mathematical proof; Type (biology); Surface (topology); Operator (biology); Regular polygon; Applied mathematics; Mathematical analysis; Mathematical optimization; Geometry; Optimal control","score_opus":0.08271158519413598,"score_gpt":0.3950822039295169,"score_spread":0.3123706187353809,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2981674547","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.024695784,0.00011403357,0.97149503,0.00009235248,0.000034350156,0.000047398786,0.000019347797,0.000101471844,0.003400189],"genre_scores_gemma":[0.548025,0.0002797966,0.4430457,0.00008989541,0.000039460556,0.00027478035,0.00007802833,0.00008837772,0.0080789365],"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99971265,0.00009682746,0.000014733979,0.000020020463,0.00013545071,0.000020241938],"domain_scores_gemma":[0.99963665,0.00014732557,0.000042935928,0.00006409961,0.000086503576,0.000022444112],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00075271487,0.0004674775,0.00047792308,0.00034393094,0.00035462208,0.00046661228,0.0010114956,0.00084489153,0.0014740784],"category_scores_gemma":[0.0015610304,0.00018037904,0.00051174057,0.00028257078,0.0011973577,0.00064487994,0.001303536,0.0010823936,0.00030397158],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000063184365,0.000075523334,0.00073548796,0.00012346442,0.000019566434,0.00009758246,0.0003310002,0.62831175,0.026265845,0.28241506,0.0007937,0.060767796],"study_design_scores_gemma":[0.00000496259,0.000016794504,0.000041651674,0.0000043691252,0.0000015796404,0.000010650455,0.000008334245,0.99311674,0.0014742045,0.0042801327,0.0010365337,0.000003985345],"about_ca_topic_score_codex":0.0016568983,"about_ca_topic_score_gemma":0.001645354,"teacher_disagreement_score":0.0016568983,"about_ca_system_score_codex":0.00044383702,"about_ca_system_score_gemma":0.00065448356,"threshold_uncertainty_score":0.004931271},"labels":[],"label_agreement":null},{"id":"W3095694458","doi":"10.1002/num.22589","title":"An efficient computational approach for local fractional Poisson equation in fractal media","year":2020,"lang":"en","type":"article","venue":"Numerical Methods for Partial Differential Equations","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":68,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"","keywords":"Mathematics; Fractional calculus; Poisson's equation; Operator (biology); Partial differential equation; Fractal; Domain (mathematical analysis); Mathematical analysis; Representation (politics); Applied mathematics; Differential operator; Partial derivative; Field (mathematics); Homotopy; Pure mathematics","score_opus":0.17857103428289303,"score_gpt":0.43696593271558876,"score_spread":0.2583948984326957,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3095694458","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.039960478,0.00031587755,0.95090824,0.0003217621,0.00009828396,0.00004425466,0.00004656973,0.00011706524,0.008187527],"genre_scores_gemma":[0.70441365,0.0004306965,0.285297,0.0001607585,0.00011921315,0.00019818528,0.000091816255,0.00012257091,0.009166014],"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99989414,0.000037390968,0.0000053900712,0.0000122513,0.000035633824,0.000015184767],"domain_scores_gemma":[0.9997886,0.00010526428,0.000021834585,0.000018600673,0.000047843405,0.00001801344],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00034090367,0.000343051,0.0006143926,0.0006408832,0.0005961268,0.00059490616,0.00080201525,0.0008723177,0.0028285002],"category_scores_gemma":[0.000806268,0.00018993551,0.00070245087,0.0004475677,0.0007513876,0.00086151034,0.0009229735,0.0007189867,0.00029577097],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006094927,0.000081526785,0.0011674581,0.00016152207,0.000037836828,0.0004223633,0.0001704055,0.7483546,0.009619991,0.21123332,0.0010704502,0.02761952],"study_design_scores_gemma":[0.0000034678355,0.0000062031336,0.00002806782,0.0000026749813,0.0000016241456,0.000016205893,0.0000070379115,0.993206,0.00019732694,0.0061800727,0.00034933697,0.0000019950087],"about_ca_topic_score_codex":0.0026040955,"about_ca_topic_score_gemma":0.0020908606,"teacher_disagreement_score":0.0028285002,"about_ca_system_score_codex":0.00041889332,"about_ca_system_score_gemma":0.00052808784,"threshold_uncertainty_score":0.009462297},"labels":[],"label_agreement":null},{"id":"W3209580039","doi":"10.1002/num.23065","title":"A posteriori error analysis for a space‐time parallel discretization of parabolic partial differential equations","year":2023,"lang":"en","type":"article","venue":"Numerical Methods for Partial Differential Equations","topic":"Advanced Numerical Methods in Computational Mathematics","field":"Engineering","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Simon Fraser University","funders":"National Science Foundation of Sri Lanka; Natural Sciences and Engineering Research Council of Canada","keywords":"Domain decomposition methods; Discretization; Partial differential equation; Mathematics; Solver; Estimator; Applied mathematics; Finite element method; Mortar methods; A priori and a posteriori; Numerical partial differential equations; Algorithm; Method of lines; Space (punctuation); Mathematical optimization; Differential equation; Mathematical analysis; Computer science; Ordinary differential equation; Differential algebraic equation","score_opus":0.07740712232355203,"score_gpt":0.4077862917820096,"score_spread":0.3303791694584576,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3209580039","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.022123802,0.00008057228,0.9757909,0.00012537373,0.000031252428,0.000020658916,0.000017394612,0.00008460952,0.0017254589],"genre_scores_gemma":[0.51545423,0.00023661171,0.4776032,0.00010181591,0.00005659094,0.00015373157,0.00010258991,0.00019736512,0.006093887],"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9992551,0.00025312885,0.00003118814,0.00007523002,0.00034588104,0.000039401755],"domain_scores_gemma":[0.99737465,0.0014343673,0.00025374928,0.00024232097,0.0006099541,0.00008502503],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0023087338,0.0005064394,0.00046900153,0.00050560787,0.00038025793,0.00082225865,0.0007052563,0.00077129394,0.0014839973],"category_scores_gemma":[0.0047217137,0.00028153168,0.00048460744,0.00030092517,0.0014096206,0.00084752095,0.001333281,0.0011314146,0.00024486537],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00015408323,0.00005535006,0.0013317185,0.00009929973,0.000033313114,0.00008106231,0.0001239367,0.8729757,0.017004808,0.08693645,0.0005044357,0.02069985],"study_design_scores_gemma":[0.000003411743,0.000010146203,0.000054764605,0.0000028352183,0.0000013675993,0.00000821797,0.0000044101284,0.9960674,0.0010849966,0.0024763143,0.0002833351,0.0000027867568],"about_ca_topic_score_codex":0.003516693,"about_ca_topic_score_gemma":0.0017536242,"teacher_disagreement_score":0.003516693,"about_ca_system_score_codex":0.0007179538,"about_ca_system_score_gemma":0.00113586,"threshold_uncertainty_score":0.012209952},"labels":[],"label_agreement":null},{"id":"W3215535769","doi":"10.1002/num.23040","title":"Virtual element method for elliptic bulk‐surface PDEs in three space dimensions","year":2023,"lang":"en","type":"article","venue":"Numerical Methods for Partial Differential Equations","topic":"Advanced Numerical Methods in Computational Mathematics","field":"Engineering","cited_by":8,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"Division of Mathematical Sciences; Natural Sciences and Engineering Research Council of Canada; Gruppo Nazionale per il Calcolo Scientifico; Global Challenges Research Fund; Ministero dell'Università e della Ricerca; Regione Puglia; Royal Marsden NHS Foundation Trust; Wolfson Foundation; Engineering and Physical Sciences Research Council; University of Pretoria; Royal Society; University of Johannesburg; National Institute for Health and Care Research; NIHR Biomedical Research Centre, Royal Marsden NHS Foundation Trust/Institute of Cancer Research; Health Foundation Limburg; European Commission; Istituto Nazionale di Alta Matematica \"Francesco Severi\"","keywords":"Polyhedron; Mathematics; Discretization; Surface (topology); Elliptic partial differential equation; Mathematical analysis; Polygon mesh; Finite element method; Convergence (economics); Curvature; Partial differential equation; Geometry; Boundary (topology); Domain (mathematical analysis); Numerical analysis; Physics","score_opus":0.0767912232424061,"score_gpt":0.41550479175307675,"score_spread":0.33871356851067064,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3215535769","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.020944543,0.00006563876,0.9751184,0.00007893299,0.00003991776,0.000030107549,0.00003251552,0.000105686384,0.0035842382],"genre_scores_gemma":[0.46706197,0.00020316741,0.52230537,0.0001091885,0.00004129068,0.00029375232,0.00017384077,0.00022237701,0.009589006],"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9997813,0.00007435682,0.0000079590045,0.000017249933,0.00010068233,0.00001835731],"domain_scores_gemma":[0.9996911,0.0001476139,0.000021129003,0.00003674495,0.00007758554,0.000025831416],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000452599,0.00040212454,0.0005845413,0.00036835764,0.00029964288,0.00055225356,0.00078035105,0.0007780753,0.0024703331],"category_scores_gemma":[0.0008014433,0.00022742663,0.00043343662,0.0002922244,0.00086725724,0.0005100041,0.000973375,0.0007283898,0.0007115626],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010441965,0.000074576914,0.0006236612,0.0001187145,0.000028027936,0.00013067825,0.00018767075,0.8711487,0.020527227,0.072028935,0.000992871,0.03403451],"study_design_scores_gemma":[0.000006711886,0.000013440905,0.000024080238,0.0000032387113,0.0000011312447,0.000012987305,0.000011090783,0.9956665,0.0008963331,0.0021616041,0.0011998019,0.0000030752353],"about_ca_topic_score_codex":0.0012094054,"about_ca_topic_score_gemma":0.0010408171,"teacher_disagreement_score":0.0024703331,"about_ca_system_score_codex":0.0002998258,"about_ca_system_score_gemma":0.00056553975,"threshold_uncertainty_score":0.008264124},"labels":[],"label_agreement":null},{"id":"W4214760321","doi":"10.1002/num.22874","title":"<scp>Cattaneo–Christov</scp> heat flux model for three‐dimensional magnetohydrodynamic flow of an Eyring Powell fluid over an exponentially stretching surface with convective boundary condition","year":2022,"lang":"en","type":"article","venue":"Numerical Methods for Partial Differential Equations","topic":"Nanofluid Flow and Heat Transfer","field":"Engineering","cited_by":16,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Fanshawe College","funders":"","keywords":"Magnetohydrodynamic drive; Mechanics; Heat flux; Convection; Heat transfer; Compressibility; Nanofluid; Convective heat transfer; Thermodynamics; Parasitic drag; Heat transfer coefficient; Flow (mathematics); Magnetohydrodynamics; Boundary layer; Magnetic field; Physics","score_opus":0.022176023765027007,"score_gpt":0.30298152273158147,"score_spread":0.28080549896655443,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4214760321","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.24850678,0.001277084,0.6812067,0.0017130994,0.00036189926,0.00016954816,0.00037345433,0.00030474176,0.06608669],"genre_scores_gemma":[0.964606,0.00027152523,0.009849987,0.000083550396,0.00006328948,0.00012957284,0.00008496508,0.0000498584,0.02486142],"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9999021,0.000026151201,0.0000042017864,0.000017566867,0.000028248724,0.00002176492],"domain_scores_gemma":[0.99989843,0.000027088045,0.00001934432,0.000008758755,0.000030422727,0.000015968966],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002542039,0.0004660348,0.00049637153,0.00049250125,0.00048689405,0.00077796733,0.0009002014,0.000993483,0.0027582047],"category_scores_gemma":[0.00042645598,0.0002229869,0.00040292053,0.00030254273,0.0012110013,0.00077935716,0.00041295966,0.00079118385,0.0003443622],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007625235,0.00009066598,0.00077278476,0.00011487034,0.000017470782,0.00024898938,0.00012749108,0.8371139,0.017220922,0.1367054,0.00201924,0.005492044],"study_design_scores_gemma":[0.0000054529305,0.000011686268,0.00017887137,0.0000024342726,0.0000012568308,0.00001939949,0.000008369907,0.9967597,0.0005264786,0.001990994,0.0004906933,0.0000045842276],"about_ca_topic_score_codex":0.01085284,"about_ca_topic_score_gemma":0.0043994756,"teacher_disagreement_score":0.01085284,"about_ca_system_score_codex":0.0009065372,"about_ca_system_score_gemma":0.00073552236,"threshold_uncertainty_score":0.021579325},"labels":[],"label_agreement":null},{"id":"W4367367922","doi":"10.1002/num.23036","title":"A combined compact finite difference scheme for solving the acoustic wave equation in heterogeneous media","year":2023,"lang":"en","type":"article","venue":"Numerical Methods for Partial Differential Equations","topic":"Electromagnetic Simulation and Numerical Methods","field":"Engineering","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Calgary","funders":"Natural Sciences and Engineering Research Council of Canada; China Scholarship Council; University of Calgary","keywords":"Mathematics; Stability (learning theory); Wave equation; Convergence (economics); Compact finite difference; Finite difference; Perfectly matched layer; Acoustic wave equation; Divergence (linguistics); Mathematical analysis; Scheme (mathematics); Finite difference scheme; Boundary (topology); Finite difference method; Boundary value problem; Compact space; Wave propagation; Applied mathematics; Acoustic wave; Computer science; Acoustics; Physics","score_opus":0.10327020159334906,"score_gpt":0.37139979018968444,"score_spread":0.2681295885963354,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4367367922","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.019108282,0.00022958312,0.97817504,0.000080139376,0.000078510006,0.000042523196,0.000022397084,0.0000790879,0.002184445],"genre_scores_gemma":[0.52743715,0.00034215572,0.4661634,0.00009551489,0.000056007837,0.00024695735,0.00012106452,0.000048366663,0.0054893573],"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9996934,0.00007127078,0.000019853298,0.000032127988,0.00016247712,0.00002091071],"domain_scores_gemma":[0.99949694,0.00022468956,0.000052898868,0.000056356057,0.00013592804,0.000033168202],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000801614,0.0004343706,0.0005501096,0.000400109,0.000283658,0.0005061952,0.0010340923,0.000938873,0.00106768],"category_scores_gemma":[0.0013576219,0.0002265702,0.00054023037,0.00032285147,0.0006903938,0.00087169494,0.00092049554,0.0008863367,0.0002138337],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00014499066,0.0001301531,0.00153868,0.00029988345,0.000044700937,0.00022941455,0.00025915453,0.7808015,0.06458743,0.07428541,0.0007800284,0.0768986],"study_design_scores_gemma":[0.000007886647,0.000024192615,0.000054681987,0.000005115794,0.0000026726518,0.000020192878,0.00000642925,0.9965443,0.0016693709,0.0008768304,0.00078436156,0.0000038987337],"about_ca_topic_score_codex":0.002229433,"about_ca_topic_score_gemma":0.0017548909,"teacher_disagreement_score":0.002229433,"about_ca_system_score_codex":0.0004642524,"about_ca_system_score_gemma":0.0006997275,"threshold_uncertainty_score":0.0044329762},"labels":[],"label_agreement":null},{"id":"W4387774935","doi":"10.1002/num.23075","title":"A semi‐Lagrangian ε$$ \\varepsilon $$‐monotone Fourier method for continuous withdrawal GMWBs under jump‐diffusion with stochastic interest rate","year":2023,"lang":"en","type":"article","venue":"Numerical Methods for Partial Differential Equations","topic":"Stochastic processes and financial applications","field":"Economics, Econometrics and Finance","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"University of Waterloo; University of Queensland","keywords":"Hamilton–Jacobi–Bellman equation; Mathematics; Monotone polygon; Variational inequality; Monotonic function; Rate of convergence; Viscosity solution; Interest rate; Augmented Lagrangian method; Applied mathematics; Arbitrage; Mathematical optimization; Bellman equation; Mathematical analysis; Computer science; Economics","score_opus":0.06597025661925042,"score_gpt":0.3501786667280177,"score_spread":0.28420841010876724,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4387774935","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.01087168,0.00018001586,0.9852588,0.00034835108,0.000056265853,0.000042232867,0.000024962368,0.00004251794,0.0031751487],"genre_scores_gemma":[0.6021468,0.00052309746,0.38259095,0.0003481403,0.00013137714,0.0004119618,0.000103555474,0.00016570686,0.013578321],"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9996136,0.00018814547,0.0000141736655,0.00003483845,0.00010164885,0.00004766717],"domain_scores_gemma":[0.9991787,0.00048472374,0.000078770776,0.000047124002,0.00013339141,0.000077251774],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0021599683,0.0007944025,0.0008960992,0.0005701608,0.00044255352,0.00081608345,0.0012178789,0.0016089964,0.0033970224],"category_scores_gemma":[0.0028811698,0.00042472102,0.0009529972,0.0003434514,0.0014240517,0.0011814755,0.00157305,0.0019136426,0.00028651571],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007185394,0.00009934793,0.0006253006,0.00015642538,0.00004173299,0.00020377972,0.00013071674,0.74199563,0.0055551226,0.22904181,0.0014599761,0.020618299],"study_design_scores_gemma":[0.000005731851,0.000009600501,0.00001848564,0.0000050909985,0.0000015561295,0.000008033737,0.0000040381333,0.99446446,0.00010859984,0.0051496667,0.00022176837,0.0000029292162],"about_ca_topic_score_codex":0.0037184001,"about_ca_topic_score_gemma":0.0028014558,"teacher_disagreement_score":0.0037184001,"about_ca_system_score_codex":0.0009260962,"about_ca_system_score_gemma":0.0018937105,"threshold_uncertainty_score":0.011423111},"labels":[],"label_agreement":null},{"id":"W4404729791","doi":"10.1002/num.23161","title":"An Adaptive Time Filter Algorithm for the 2D/3D Unsteady Triple‐Porosity Stokes Model Arising in Super‐Hydrophobic Proppant Modification in Hydraulic Fracturing Systems","year":2024,"lang":"en","type":"article","venue":"Numerical Methods for Partial Differential Equations","topic":"Seismic Imaging and Inversion Techniques","field":"Earth and Planetary Sciences","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Calgary","funders":"National Natural Science Foundation of China","keywords":"Porosity; Filter (signal processing); Hydraulic fracturing; Algorithm; Mathematics; Petroleum engineering; Materials science; Computer science; Composite material; Geology; Computer vision","score_opus":0.07162152383557564,"score_gpt":0.3512963714937706,"score_spread":0.27967484765819495,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4404729791","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.018255113,0.000047714748,0.98039424,0.00007200446,0.000028398323,0.000023168068,0.000013657394,0.00007651557,0.0010892291],"genre_scores_gemma":[0.5821787,0.0002884436,0.40951434,0.00008587655,0.00006227872,0.0002613377,0.00011391429,0.00007013606,0.0074249855],"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9999093,0.00002052274,0.000005470714,0.00001942876,0.000034002223,0.000011327477],"domain_scores_gemma":[0.99984264,0.000061301274,0.000026045414,0.000012276072,0.000044000888,0.000013667444],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00024012374,0.00044901337,0.00044284321,0.00020493224,0.00041144624,0.00037831083,0.00061797467,0.00083418324,0.0015179862],"category_scores_gemma":[0.00044525915,0.00020306149,0.00050886953,0.00021398831,0.00052171265,0.0005893849,0.0005164539,0.0006826684,0.00020101911],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007511547,0.00004052334,0.00104895,0.00007781598,0.000025990052,0.000113938986,0.000108177,0.8983196,0.01884572,0.027656231,0.00065127434,0.05303665],"study_design_scores_gemma":[0.0000034154498,0.000008765391,0.000029917961,9.4374167e-7,0.0000012309639,0.000006961055,0.0000029944235,0.99874747,0.0004233891,0.0005339031,0.00023861518,0.0000024420783],"about_ca_topic_score_codex":0.0061362395,"about_ca_topic_score_gemma":0.0036809582,"teacher_disagreement_score":0.0061362395,"about_ca_system_score_codex":0.00041655623,"about_ca_system_score_gemma":0.0008311634,"threshold_uncertainty_score":0.012201071},"labels":[],"label_agreement":null},{"id":"W4407717108","doi":"10.1002/num.70001","title":"An Algebraic Preconditioner for the Exactly Divergence‐Free Discontinuous Galerkin Method for Stokes","year":2025,"lang":"en","type":"article","venue":"Numerical Methods for Partial Differential Equations","topic":"Advanced Numerical Methods in Computational Mathematics","field":"Engineering","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"Laboratory Directed Research and Development; Natural Sciences and Engineering Research Council of Canada","keywords":"Preconditioner; Mathematics; Divergence (linguistics); Stokes problem; Algebraic number; Galerkin method; Discontinuous Galerkin method; Mathematical analysis; Finite element method; Pure mathematics; Applied mathematics; Physics; Linear system","score_opus":0.04494633828159398,"score_gpt":0.4230632447046988,"score_spread":0.3781169064231048,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4407717108","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.007062303,0.00004311888,0.9895449,0.00010590287,0.00007969381,0.000039809474,0.000040774292,0.00023672992,0.0028466294],"genre_scores_gemma":[0.22619686,0.0001900792,0.76742727,0.00017140925,0.00014080189,0.00022545528,0.00017089657,0.00017809994,0.005299056],"study_design_codex":"simulation_or_modeling","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99929976,0.0001937699,0.000034451085,0.000063592684,0.0003593578,0.0000489721],"domain_scores_gemma":[0.99948263,0.0001948309,0.000039598195,0.00008197968,0.00016434296,0.00003668092],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006448271,0.000452376,0.0006021587,0.0003918942,0.00044734124,0.000616814,0.00069026975,0.0006939496,0.004030577],"category_scores_gemma":[0.001532064,0.00021778226,0.0005113478,0.0002937501,0.0008947968,0.0004803659,0.0012933138,0.0013638034,0.0009203632],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0002116916,0.00013768955,0.0009430151,0.00027227262,0.00004925689,0.0002933361,0.00033963245,0.46566167,0.07592179,0.2763422,0.0066156443,0.17321186],"study_design_scores_gemma":[0.00003055736,0.00004091449,0.00009690709,0.000010922477,0.000005679718,0.000034990742,0.0000111717945,0.9731646,0.008162784,0.008874481,0.0095554665,0.00001146652],"about_ca_topic_score_codex":0.0015969237,"about_ca_topic_score_gemma":0.0013192018,"teacher_disagreement_score":0.004030577,"about_ca_system_score_codex":0.0003736077,"about_ca_system_score_gemma":0.0007709735,"threshold_uncertainty_score":0.0134836435},"labels":[],"label_agreement":null}]}