{"id":"W2033619920","doi":"10.1007/s12190-009-0362-2","title":"One-step 9-stage Hermite–Birkhoff–Taylor DAE solver of order 10","year":2009,"lang":"en","type":"article","venue":"Journal of Applied Mathematics and Computing","topic":"Numerical methods for differential equations","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Ottawa","funders":"","keywords":"Mathematics; Ode; Ordinary differential equation; Taylor series; Solver; Interval (graph theory); Theory of computation; Hermite polynomials; Applied mathematics; Function (biology); Runge–Kutta methods; Differential equation; Mathematical analysis; Algorithm; Mathematical optimization; Combinatorics","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":[0.0005420584,0.0006988039,0.00136073,0.0003229881,0.0006090289,0.0008531734,0.002201357,0.001711569,0.02021347],"category_scores_gemma":[0.001520648,0.0004828684,0.0005114056,0.0004196401,0.0003958366,0.0007729657,0.001125887,0.001793952,0.003693627],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0004428576,"about_ca_system_score_gemma":0.001788535,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003202823,"about_ca_topic_score_gemma":0.00822213,"domain_scores_codex":[0.9997364,0.00004759939,0.0000188479,0.00003135344,0.0001128876,0.00005299663],"domain_scores_gemma":[0.999481,0.0001778282,0.00003312475,0.00008068925,0.0001720814,0.0000553449],"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":[0.001649065,0.0008716441,0.003187636,0.0007637077,0.000324502,0.0009978807,0.0008737039,0.4836687,0.0696818,0.09422733,0.02246044,0.3212935],"study_design_scores_gemma":[0.00007854466,0.00006166892,0.0001972416,0.000011733,0.00002031183,0.00007167269,0.00003269617,0.9849671,0.006957099,0.001895013,0.005687312,0.00001961991],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.02754011,0.0001319616,0.9544373,0.0001456845,0.0001616763,0.0001452759,0.0002040477,0.001291478,0.01594257],"genre_scores_gemma":[0.1873722,0.00008817119,0.7891264,0.0001702984,0.0000626715,0.0002875615,0.0004962253,0.0004783963,0.02191802],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.02021347,"threshold_uncertainty_score":0.06762081,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06006230825058478,"score_gpt":0.3349631014237952,"score_spread":0.2749007931732104,"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."}}