{"id":"W3159595365","doi":"10.1007/s10915-021-01507-x","title":"High Order Compact Block-Centered Finite Difference Schemes for Elliptic and Parabolic Problems","year":2021,"lang":"en","type":"article","venue":"Journal of Scientific Computing","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":24,"is_retracted":false,"has_abstract":false,"ca_institutions":"York University","funders":"Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Mathematics; Block (permutation group theory); Stability (learning theory); Finite difference; Finite difference coefficient; Applied mathematics; Order (exchange); Finite difference method; Mathematical analysis; Variable (mathematics); Finite element method; Geometry; Mixed finite element method","routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001097946,0.000134885,0.0004147014,0.0001373222,0.0003162337,0.0004010707,0.0001736108,0.00004208752,0.00003099105],"category_scores_gemma":[0.001602362,0.0001055416,0.0001219044,0.0004551322,0.0001167561,0.00008579384,0.00007913317,0.0001818101,0.000001315798],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002307097,"about_ca_system_score_gemma":0.00009872548,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001979762,"about_ca_topic_score_gemma":0.000002025279,"domain_scores_codex":[0.9984273,0.0001241767,0.0006524747,0.0002218671,0.0003160661,0.0002581368],"domain_scores_gemma":[0.9969998,0.001429274,0.0005321141,0.0001825707,0.0007231805,0.0001330571],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"design_other","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.0001673087,0.003622051,0.006196593,0.002147143,0.0009073221,0.00006467962,0.00550718,0.003220525,0.2136341,0.0865573,0.002960057,0.6750157],"study_design_scores_gemma":[0.007206856,0.0007680391,0.01488899,0.003211093,0.000716719,0.0004388642,0.001072855,0.507649,0.03774948,0.3944756,0.030601,0.001221496],"study_design_candidate":"design_other","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6799086,0.0002398705,0.318663,0.0002463147,0.0008034148,0.0001000906,0.000004830877,0.00001105472,0.00002289492],"genre_scores_gemma":[0.8219895,0.00001030968,0.1774803,0.00002131969,0.000132865,5.87798e-7,0.000002379726,0.00001164451,0.0003511792],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.6737942,"threshold_uncertainty_score":0.4303863,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1022371106913527,"score_gpt":0.3567263400040563,"score_spread":0.2544892293127037,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}