{"id":"W2076908329","doi":"10.1016/s0168-9274(99)00132-4","title":"Extended explicit Bel'tyukov pairs of orders 4 and 5 for Volterra integral equations of the second kind","year":2000,"lang":"en","type":"article","venue":"Applied Numerical Mathematics","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":false,"ca_institutions":"Queen's University","funders":"","keywords":"Mathematics; Volterra integral equation; Kernel (algebra); Runge–Kutta methods; Parametric statistics; Range (aeronautics); Applied mathematics; Integral equation; Type (biology); Order (exchange); Mathematical analysis; Numerical analysis; Pure mathematics","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":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0002022665,0.0001924223,0.0004142994,0.00007586544,0.0001635968,0.00001515893,0.000242242,0.0001065516,0.001105773],"category_scores_gemma":[0.0004624203,0.0001447051,0.0001695883,0.0003325416,0.0002016604,0.00006525788,0.00005669214,0.0001582968,0.00001035081],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003818695,"about_ca_system_score_gemma":0.00005397881,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001270394,"about_ca_topic_score_gemma":0.00002087533,"domain_scores_codex":[0.9985321,0.00003262422,0.0007028771,0.0002030196,0.0003122092,0.0002171819],"domain_scores_gemma":[0.9971586,0.001872926,0.0003409463,0.0004468503,0.0001164553,0.00006416858],"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":[0.00002778791,0.0007535188,0.000009518855,0.0003318203,0.0001150501,5.568522e-8,0.001423708,0.00004330303,0.003838933,0.9876148,0.0009411839,0.004900379],"study_design_scores_gemma":[0.0008241904,0.0001039099,0.0005660055,0.00008799771,0.0002287393,0.000005188966,0.001095124,0.0300136,0.005407786,0.9603573,0.001054901,0.0002552296],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3015521,0.00002513625,0.6866604,0.0004869547,0.00009698677,0.001691475,0.0001925506,0.00007275899,0.009221647],"genre_scores_gemma":[0.9170451,0.000003201251,0.08189987,0.00004782574,0.00002819314,0.0002167706,0.00001181781,0.0000353044,0.0007119943],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.6154929,"threshold_uncertainty_score":0.9998074,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04948229590358189,"score_gpt":0.3067442949823442,"score_spread":0.2572619990787623,"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."}}