{"id":"W4390775843","doi":"10.1007/s11075-023-01738-z","title":"An Hermite–Obreshkov method for 2nd-order linear initial-value problems for ODE","year":2024,"lang":"en","type":"article","venue":"Numerical Algorithms","topic":"Numerical methods for differential equations","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Waterloo; Western University","funders":"Natural Sciences and Engineering Research Council of Canada; Ministerio de Ciencia e Innovación","keywords":"Mathematics; Ode; Applied mathematics; Hermite polynomials; Differential equation; Ordinary differential equation; Scalar (mathematics); Theory of computation; Numerical analysis; Initial value problem; Mathematical analysis; Algorithm","routes":{"ca_aff":true,"ca_fund":true,"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":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.001230193,0.0004708673,0.0007815305,0.0001958428,0.0002710008,0.0002067045,0.0004734534,0.0003078238,0.0002317661],"category_scores_gemma":[0.001746885,0.0003956185,0.0004937559,0.0008450909,0.0001009738,0.0003158627,0.0000787242,0.0004183418,0.00004968245],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001412415,"about_ca_system_score_gemma":0.0002036543,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00009743089,"about_ca_topic_score_gemma":0.000005414586,"domain_scores_codex":[0.9965551,0.0003851841,0.0008579253,0.0009303938,0.0004733453,0.0007979975],"domain_scores_gemma":[0.9941183,0.004394234,0.0001529412,0.0006048658,0.0003521357,0.000377495],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"design_other","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.0001020203,0.000930492,0.00000291241,0.0009781974,0.0003613279,0.00000852989,0.0008977416,0.0004874011,0.003407591,0.1121791,0.002120654,0.878524],"study_design_scores_gemma":[0.0004887211,0.0005648382,0.000003305987,0.00006487563,0.0002151146,0.00001249089,0.00005188995,0.5258361,0.002264563,0.4112475,0.05888233,0.0003682428],"study_design_candidate":"design_other","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.00009848645,0.0001871866,0.9930346,0.001606495,0.001265282,0.002263903,0.0004990008,0.000798199,0.0002468567],"genre_scores_gemma":[0.0008145519,0.000008659909,0.9941441,0.0004819219,0.001407636,0.001758892,0.0001820113,0.0002431534,0.0009590819],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.8781558,"threshold_uncertainty_score":0.9998496,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1137789021045145,"score_gpt":0.4744715413494847,"score_spread":0.3606926392449702,"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."}}