{"id":"W2911456086","doi":"10.5539/jmr.v11n1p93","title":"Optimal Method of Runge-Kutta of Order 5","year":2019,"lang":"en","type":"article","venue":"Journal of Mathematics Research","topic":"Numerical methods for differential equations","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Runge–Kutta methods; Order (exchange); Applied mathematics; Nonlinear system; Polynomial; Mathematical analysis; Differential equation","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":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.009852419,0.0001483951,0.0009461147,0.000638468,0.00004108773,0.00002345115,0.0007436395,0.0001340189,0.0009671479],"category_scores_gemma":[0.007437882,0.0001093289,0.0002968732,0.0008546049,0.0001563804,0.0001437061,0.0002259111,0.0007324964,0.0000323763],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006848494,"about_ca_system_score_gemma":0.0002765382,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000009804492,"about_ca_topic_score_gemma":0.000001276743,"domain_scores_codex":[0.9951436,0.0007684802,0.001562337,0.0001352948,0.002036608,0.0003536584],"domain_scores_gemma":[0.987883,0.007693345,0.001165653,0.0005811119,0.002529951,0.0001468967],"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":[0.0003875831,0.007162846,0.0008455198,0.008982959,0.001580635,0.00002630676,0.01066317,0.0008241541,0.4639389,0.4732906,0.002349134,0.02994821],"study_design_scores_gemma":[0.001127077,0.001070255,0.0001385462,0.0006969068,0.0001421008,0.00008936801,0.002545442,0.006884766,0.08092645,0.9058986,0.0003147314,0.000165795],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.3874575,0.00007119182,0.609647,0.0001988122,0.0001438506,0.0003499675,0.000008434227,0.000006485497,0.002116667],"genre_scores_gemma":[0.06175411,0.00003163824,0.9372025,0.000003050788,0.00005958911,0.000003527637,4.15692e-7,0.00004195719,0.0009031711],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.432608,"threshold_uncertainty_score":0.9999461,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.261450670524156,"score_gpt":0.540527911271976,"score_spread":0.2790772407478199,"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."}}