{"id":"W4390860700","doi":"10.21015/vtm.v11i1.1419","title":"Development of an Explicit Iterative Numerical Scheme Over the Modified Euler’s Method","year":2023,"lang":"en","type":"article","venue":"VFAST Transactions on Mathematics","topic":"Heat Transfer and Numerical Methods","field":"Engineering","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Alberta","funders":"","keywords":"Convergence (economics); Backward Euler method; Euler's formula; Explicit and implicit methods; Ordinary differential equation; Iterative method; Applied mathematics; Mathematics; Euler method; Stability (learning theory); Scheme (mathematics); Numerical analysis; Numerical stability; Euler equations; Computer science; Mathematical analysis; Differential equation; Mathematical optimization; Differential algebraic equation","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":[0.0007437986,0.0003748794,0.0005064783,0.0004057109,0.0003196198,0.0004994436,0.001251714,0.0006902885,0.001800096],"category_scores_gemma":[0.001635084,0.0002440424,0.0006010503,0.0003690745,0.0004332807,0.0007052846,0.0009901046,0.0009375531,0.0005168144],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003193722,"about_ca_system_score_gemma":0.0008049496,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001581421,"about_ca_topic_score_gemma":0.001199071,"domain_scores_codex":[0.9995826,0.0001129253,0.00002994692,0.00004470166,0.0001978015,0.0000320464],"domain_scores_gemma":[0.9995391,0.0001179971,0.00004688928,0.00005432108,0.0002115001,0.00003009742],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000185296,0.0001213626,0.002648138,0.0005587723,0.00008857392,0.000460963,0.0005638394,0.4784653,0.0811687,0.2110461,0.002605263,0.2220876],"study_design_scores_gemma":[0.00001665012,0.00006406501,0.0001829019,0.00002508408,0.000009065933,0.00009923227,0.00001419062,0.98224,0.005596288,0.004519247,0.007218558,0.00001478227],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.006262784,0.0001725128,0.9895473,0.00005467169,0.00009068669,0.00006237312,0.00001724706,0.0001349743,0.003657484],"genre_scores_gemma":[0.1573108,0.0003653852,0.8372374,0.00005540654,0.00006215912,0.0002119672,0.00006802862,0.00008257661,0.004606206],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.001800096,"threshold_uncertainty_score":0.006021917,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05890061204461394,"score_gpt":0.3314475976711285,"score_spread":0.2725469856265145,"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."}}