{"id":"W3129958999","doi":"10.3934/math.2021259","title":"Computational study of the convection-diffusion equation using new cubic B-spline approximations","year":2021,"lang":"en","type":"article","venue":"AIMS Mathematics","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Victoria","funders":"","keywords":"Piecewise; Convection–diffusion equation; Mathematics; Diffusion equation; Convergence (economics); Applied mathematics; Stability (learning theory); Scheme (mathematics); Position (finance); Diffusion; Material derivative; Piecewise linear function; Numerical analysis; Numerical stability; Mathematical optimization; Mathematical analysis; Computer science; 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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006775787,0.0003181657,0.0005880968,0.0004684162,0.0005167999,0.0005658447,0.0005877959,0.0007200863,0.001224732],"category_scores_gemma":[0.001539697,0.0001577353,0.0004955532,0.0006537368,0.0006040521,0.0004445238,0.0006249969,0.0008024976,0.0001452282],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000319266,"about_ca_system_score_gemma":0.0006425676,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.006935958,"about_ca_topic_score_gemma":0.004256981,"domain_scores_codex":[0.9998118,0.00006732804,0.000008685764,0.00001208713,0.00008069433,0.00001937139],"domain_scores_gemma":[0.9993358,0.0004000298,0.00005566098,0.00003933101,0.0001311899,0.00003800212],"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":[0.0001011824,0.00005915933,0.00195672,0.0001638264,0.00002248088,0.000160932,0.0001190681,0.9436792,0.007317963,0.02454822,0.0005567587,0.02131451],"study_design_scores_gemma":[0.000002906842,0.00001191047,0.00007879076,0.000002989879,0.000001351436,0.00001013746,0.000007485567,0.9988852,0.0003063524,0.0004160084,0.0002743118,0.000002449602],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2447205,0.001136194,0.7427492,0.0005929236,0.0002860238,0.00008203539,0.00009000336,0.0002571048,0.01008608],"genre_scores_gemma":[0.7947962,0.000646827,0.2005979,0.00004388866,0.00006597485,0.0001043494,0.0000831877,0.00006633699,0.003595367],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.006935958,"threshold_uncertainty_score":0.01379114,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1765208028864992,"score_gpt":0.3893188482151148,"score_spread":0.2127980453286156,"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."}}