{"id":"W4323663892","doi":"10.3390/fractalfract7030245","title":"Fractional Order Runge–Kutta Methods","year":2023,"lang":"en","type":"article","venue":"Fractal and Fractional","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":28,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Prince Edward Island","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Runge–Kutta methods; Fork (system call); Applied mathematics; Convergence (economics); Differential equation; Robustness (evolution); Mathematical analysis; Computer science","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":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0005395578,0.0002455795,0.0002582195,0.000373503,0.0006852642,0.00009054079,0.0001263352,0.0002050248,0.003614873],"category_scores_gemma":[0.001252755,0.0002397382,0.0001344481,0.0008486574,0.0001454076,0.0006548851,0.0001149146,0.0005250215,0.00109223],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001040837,"about_ca_system_score_gemma":0.0001479315,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0000674136,"about_ca_topic_score_gemma":0.00002559163,"domain_scores_codex":[0.9980563,0.0001538339,0.0004123304,0.000426013,0.0005810127,0.0003705445],"domain_scores_gemma":[0.9966364,0.00247038,0.0001805839,0.0002395603,0.0002916402,0.0001814154],"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":[0.0001670623,0.0008553538,0.003233168,0.00007705989,0.0005279315,0.00002554388,0.0002757001,0.0004856988,0.006855052,0.7981555,0.155489,0.03385299],"study_design_scores_gemma":[0.0007058607,0.00006511345,0.1086568,0.00002891653,0.0001093055,0.0001556613,0.0003048247,0.02988622,0.0001970073,0.6315712,0.2278071,0.0005119962],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1719111,0.0002710338,0.7710429,0.01388182,0.004968126,0.000804361,0.0004148216,0.001812895,0.03489285],"genre_scores_gemma":[0.7882273,0.0002120547,0.1775853,0.0007800222,0.002543186,0.0003949603,0.0009491689,0.0001456031,0.02916242],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.6163161,"threshold_uncertainty_score":0.9996855,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.09732984418242437,"score_gpt":0.4015710535621113,"score_spread":0.304241209379687,"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."}}