{"id":"W2372157319","doi":"","title":"Generalized Difference Methods in Error Estimates for Two Kinds of Develop Equation","year":2007,"lang":"en","type":"article","venue":"Science Technology and Engineering","topic":"Numerical methods for differential equations","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Superconvergence; Mathematics; Norm (philosophy); Finite element method; Sobolev space; Convergence (economics); Applied mathematics; Mathematical analysis; Differential equation; Partial differential equation; Hyperbolic partial differential equation; Error analysis; Finite volume method; Order (exchange); 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":[0.001833465,0.00008901559,0.0002006425,0.001036575,0.00006426944,0.000007887916,0.0001928955,0.00008061319,0.000002264195],"category_scores_gemma":[0.005415616,0.00008066461,0.00001579796,0.002103554,0.0002550881,0.00007533142,0.00006909244,0.0001029852,1.596475e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003693201,"about_ca_system_score_gemma":0.00003186944,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000005059808,"about_ca_topic_score_gemma":0.000005952986,"domain_scores_codex":[0.9991685,0.000009363515,0.0002749103,0.0001829835,0.00009238803,0.0002718544],"domain_scores_gemma":[0.998955,0.0007163993,0.00007138643,0.0001398894,0.00008253417,0.00003483064],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"bench_or_experimental","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00000393185,0.00001561508,0.0008629602,0.00003560823,0.000003456969,2.167737e-7,0.0001103699,0.0001461682,0.5328606,0.3862245,7.830319e-8,0.07973645],"study_design_scores_gemma":[0.0002774512,0.00003735101,0.006343592,0.00003900436,0.00001146875,0.000003098532,0.00004811648,0.08780913,0.3787053,0.5266115,0.000007684889,0.0001062639],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.3905701,0.00003088646,0.609105,0.00004681201,0.00006616525,0.0001033157,5.67286e-7,0.00006345082,0.00001364766],"genre_scores_gemma":[0.4278785,7.536913e-7,0.5720881,0.000002184774,0.000003234412,0.0000175049,2.815594e-7,0.00000451938,0.000004901664],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.1541553,"threshold_uncertainty_score":0.6483389,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.09494889761141116,"score_gpt":0.4322871782004955,"score_spread":0.3373382805890843,"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."}}