{"id":"W4390636603","doi":"10.5206/mt.v3i4.16701","title":"A Sparse Differential Algebraic Equation (DAE) and Stiff Ordinary Differential Equation (ODE) Solver in Maple","year":2024,"lang":"en","type":"article","venue":"Maple Transactions","topic":"Numerical methods for differential equations","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"University of Washington; U.S. Department of Energy","keywords":"Solver; Maple; Ode; Mathematics; Differential algebraic equation; Ordinary differential equation; Nonlinear system; Discretization; Applied mathematics; Jacobian matrix and determinant; Backward differentiation formula; Differential equation; Euler's formula; Mathematical analysis; Mathematical optimization","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004527589,0.0005514803,0.0007469153,0.0004884397,0.0005881593,0.0008154184,0.001324329,0.0009329493,0.01097171],"category_scores_gemma":[0.001591679,0.0003899546,0.0005944397,0.0005393274,0.000347917,0.0008333327,0.001392127,0.001133797,0.004152823],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002261584,"about_ca_system_score_gemma":0.001030566,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008045891,"about_ca_topic_score_gemma":0.001099306,"domain_scores_codex":[0.999721,0.00004758785,0.00001718456,0.00003529478,0.0001484985,0.00003039822],"domain_scores_gemma":[0.9995301,0.0001757602,0.00004635974,0.00007534579,0.0001343297,0.00003819607],"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":[0.0002348657,0.0002792107,0.003019999,0.001026572,0.0001348979,0.0009962237,0.0004926188,0.4105915,0.05749022,0.1067944,0.04101877,0.3779207],"study_design_scores_gemma":[0.00005404547,0.00006593388,0.0002354354,0.00003509134,0.00001458906,0.0003097454,0.00002928842,0.9316331,0.0143896,0.007713642,0.04548921,0.00003033608],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.005810109,0.00008344551,0.9825013,0.00008799778,0.00006476902,0.00006720554,0.0002706134,0.004679013,0.006435444],"genre_scores_gemma":[0.06267585,0.0001656804,0.9292907,0.0001336974,0.00005101278,0.000449446,0.0008474974,0.0008404151,0.005545812],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.01097171,"threshold_uncertainty_score":0.03670406,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.09113868704763892,"score_gpt":0.3354987534792687,"score_spread":0.2443600664316298,"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."}}