{"id":"W2041934546","doi":"10.1007/bf03167454","title":"Derivation and implementation of Two-Step Runge-Kutta pairs","year":2002,"lang":"en","type":"article","venue":"Japan Journal of Industrial and Applied Mathematics","topic":"Numerical methods for differential equations","field":"Mathematics","cited_by":27,"is_retracted":false,"has_abstract":false,"ca_institutions":"Simon Fraser University","funders":"","keywords":"Runge–Kutta methods; Discretization; Interpolation (computer graphics); Applied mathematics; Function (biology); Mathematics; Initial value problem; Computer science; Value (mathematics); Mathematical optimization; Differential equation; Mathematical analysis","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":[0.000926832,0.0008970363,0.0009793979,0.0007129011,0.0009105869,0.001595411,0.001981025,0.00160891,0.01328035],"category_scores_gemma":[0.002679099,0.0007898434,0.0008130691,0.0004456479,0.0004382414,0.0009259428,0.001836744,0.001496588,0.005858742],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0004198093,"about_ca_system_score_gemma":0.001470212,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001708158,"about_ca_topic_score_gemma":0.001744439,"domain_scores_codex":[0.9994249,0.0001483128,0.0000537205,0.00006447297,0.0002406319,0.0000678811],"domain_scores_gemma":[0.9992996,0.0001668159,0.00003450063,0.0001310464,0.0003232097,0.00004473092],"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":[0.000358756,0.0003922655,0.00180216,0.0005981899,0.000111344,0.0009827296,0.0008702881,0.4108852,0.03699585,0.2586498,0.006311584,0.2820418],"study_design_scores_gemma":[0.00007422004,0.000177256,0.0003228596,0.00004736797,0.00002262243,0.0001489386,0.00006128725,0.9500362,0.01735931,0.01455443,0.01715183,0.00004362526],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.004225065,0.0000463672,0.9887096,0.00003036983,0.00008283618,0.0001490224,0.00005505191,0.0008618493,0.005839815],"genre_scores_gemma":[0.1634455,0.0001206904,0.82464,0.00006994664,0.00003342785,0.0006680893,0.000220357,0.0007861459,0.01001574],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.01328035,"threshold_uncertainty_score":0.04442722,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1291823358900496,"score_gpt":0.349830525227903,"score_spread":0.2206481893378534,"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."}}