{"id":"W2776395798","doi":"10.1016/j.cam.2017.12.003","title":"Flux formulation of parabolic equations with highly heterogeneous coefficients","year":2017,"lang":"en","type":"article","venue":"Journal of Computational and Applied Mathematics","topic":"Advanced Mathematical Modeling in Engineering","field":"Computer Science","cited_by":5,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Discretization; Mathematics; Tridiagonal matrix; Scalar (mathematics); Applied mathematics; Mathematical analysis; Cartesian coordinate system; Flux (metallurgy); Convection–diffusion equation; Geometry; Eigenvalues and eigenvectors; Physics","routes":{"ca_aff":true,"ca_fund":false,"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":[0.0001772713,0.00009281237,0.0002284584,0.00007771808,0.0001345131,0.00008220584,0.0003372179,0.00002615924,0.00000107653],"category_scores_gemma":[0.00007050826,0.00006898749,0.00003386962,0.00005263828,0.00004507569,0.0002335316,0.00007396822,0.00007389246,0.0000014291],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001294934,"about_ca_system_score_gemma":0.00003474596,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":1.21327e-7,"about_ca_topic_score_gemma":8.457683e-8,"domain_scores_codex":[0.9990441,0.000003267234,0.0004212394,0.00008017198,0.0003570879,0.00009412642],"domain_scores_gemma":[0.9985974,0.0002689537,0.00066769,0.0001927409,0.0002137083,0.00005943435],"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":[0.000003637375,0.00006089237,0.000002763903,0.00005409146,0.00001709622,0.00000113214,0.0002442009,0.5958242,0.0002554494,0.4015953,0.00000175367,0.00193949],"study_design_scores_gemma":[0.0003878512,0.00005856977,0.0001164883,0.00008606794,0.00001500773,0.0000598089,0.00001099022,0.7384716,0.001090009,0.2596236,0.00001022233,0.00006985395],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.09139037,0.00001767025,0.9080908,0.00008142806,0.00003535457,0.00007940337,0.000001087988,0.00001180536,0.0002920229],"genre_scores_gemma":[0.5502438,0.000001133038,0.4497226,0.000007298826,0.00001435186,0.000001219474,3.897806e-7,0.000004360877,0.000004810464],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.4588534,"threshold_uncertainty_score":0.2813228,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02246821200089727,"score_gpt":0.2656032034161604,"score_spread":0.2431349914152632,"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."}}