{"id":"W2963482772","doi":"10.1016/j.jcp.2018.06.024","title":"A spectral method for nonlocal diffusion operators on the sphere","year":2018,"lang":"en","type":"article","venue":"Journal of Computational Physics","topic":"Advanced Mathematical Modeling in Engineering","field":"Computer Science","cited_by":12,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Manitoba","funders":"Air Force Office of Scientific Research; Natural Sciences and Engineering Research Council of Canada; Multidisciplinary University Research Initiative; National Science Foundation","keywords":"Spherical harmonics; Brusselator; Mathematics; Unit sphere; Eigenvalues and eigenvectors; Quadrature (astronomy); Computation; Mathematical analysis; Spectral method; Applied mathematics; Diffusion; Harmonics; Algorithm; Physics; Nonlinear system","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":[0.0002839935,0.00008906915,0.0001381871,0.00002315857,0.0001042709,0.00005923419,0.0004163077,0.00002001452,0.000003412953],"category_scores_gemma":[0.0001052016,0.00005642496,0.0001013295,0.0001493777,0.00003138238,0.0002101762,0.00004931419,0.0001440059,0.000007610287],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004010177,"about_ca_system_score_gemma":0.0000666881,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":1.560769e-7,"about_ca_topic_score_gemma":6.565367e-8,"domain_scores_codex":[0.9991806,0.00002716223,0.0002485047,0.00009590403,0.0003263453,0.0001215199],"domain_scores_gemma":[0.998461,0.0008683018,0.0001433518,0.0001213362,0.0003558183,0.00005019654],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00000848775,0.00004462296,6.270064e-7,0.000004654102,0.00001284152,8.473444e-7,0.0001447283,0.5872129,0.0002227332,0.4022679,0.0002294974,0.009850177],"study_design_scores_gemma":[0.0001412408,0.000163276,0.00001607288,0.00002795515,0.000003388943,0.00001222769,0.000006872348,0.6252359,0.0008747735,0.3733487,0.000126483,0.00004308928],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.008473124,0.000006642837,0.9900944,0.0008674678,0.0003007168,0.00008438106,9.478213e-7,0.00001744983,0.000154883],"genre_scores_gemma":[0.3199598,3.265041e-7,0.6791335,0.0003188022,0.0005710383,0.000001572631,1.910719e-7,0.000007061037,0.000007686587],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.3114867,"threshold_uncertainty_score":0.2300943,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02356314702595405,"score_gpt":0.3075645116411485,"score_spread":0.2840013646151944,"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."}}