{"id":"W2080216663","doi":"10.1007/s12190-008-0216-3","title":"One-step 9-stage Hermite–Birkhoff–Taylor ODE solver of order 10","year":2008,"lang":"en","type":"article","venue":"Journal of Applied Mathematics and Computing","topic":"Numerical methods for differential equations","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Ottawa","funders":"","keywords":"Mathematics; Runge–Kutta methods; Taylor series; Ode; Applied mathematics; Hermite polynomials; Ordinary differential equation; Theory of computation; Interval (graph theory); Truncation error; Order (exchange); Solver; Mathematical analysis; Differential equation; Algorithm; Combinatorics; Mathematical optimization","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":[0.0007716863,0.0001990635,0.0007810749,0.0001536979,0.0001549296,0.00002746016,0.000238861,0.00009639327,0.0001248264],"category_scores_gemma":[0.0003928068,0.0001697074,0.0001588988,0.0002592973,0.0001217369,0.00006524612,0.0001361298,0.0002922529,0.000005793435],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002841347,"about_ca_system_score_gemma":0.00005412411,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001897173,"about_ca_topic_score_gemma":7.518878e-7,"domain_scores_codex":[0.9978644,0.00002788344,0.001211916,0.0001426578,0.0005067061,0.0002463906],"domain_scores_gemma":[0.9967819,0.001104754,0.001423873,0.0002470461,0.0003098676,0.0001326011],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0003991295,0.004951166,0.0001066019,0.004429582,0.001508837,0.00006375131,0.01945736,0.0009583448,0.06882887,0.667758,0.001031,0.2305074],"study_design_scores_gemma":[0.003867957,0.0005774231,0.0002274425,0.0008054089,0.0007082809,0.0002951809,0.002861243,0.09308047,0.02617289,0.8690681,0.001411929,0.0009236915],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.3356913,0.00003615176,0.6604183,0.00003580107,0.00007362098,0.0001540969,0.000002537372,0.00001912197,0.003569029],"genre_scores_gemma":[0.2109262,0.00001606162,0.7887572,0.00002729626,0.000115575,9.598326e-7,4.943172e-7,0.00003516577,0.0001210596],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.2295837,"threshold_uncertainty_score":0.6920468,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.08680135259048102,"score_gpt":0.3273607348505451,"score_spread":0.240559382260064,"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."}}