{"id":"W1641639423","doi":"10.3968/j.pam.1925252820130601.5231","title":"Starting Order Seven Method Accurately for the Solution of First Initial Value Problems of First Order Ordinary Differential Equations","year":2013,"lang":"en","type":"article","venue":"Progress in applied mathematics","topic":"Numerical methods for differential equations","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Linear multistep method; Mathematics; Ordinary differential equation; Interpolation (computer graphics); Collocation (remote sensing); Applied mathematics; Linear interpolation; Power series; Block (permutation group theory); Series (stratigraphy); Mathematical analysis; Differential equation; Computer science; Differential algebraic equation; Polynomial; Geometry","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":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.001181859,0.0003589116,0.000807467,0.0001925481,0.0002844251,0.00006591363,0.0005581646,0.000208077,0.0002143826],"category_scores_gemma":[0.002456186,0.0002635823,0.0001724468,0.0008369713,0.0002926107,0.0001439539,0.0002842382,0.0002924774,0.000007153404],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00007174496,"about_ca_system_score_gemma":0.00007223478,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00005463354,"about_ca_topic_score_gemma":0.000102993,"domain_scores_codex":[0.9968425,0.0001243445,0.001615599,0.0003480528,0.0005577105,0.0005117905],"domain_scores_gemma":[0.9897491,0.007779405,0.001218014,0.0006467169,0.0005311354,0.00007562715],"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":[0.0002584534,0.008670496,0.0007272593,0.01808072,0.001199794,0.000001050062,0.02887229,0.002104633,0.005833575,0.7788106,0.0007640684,0.1546771],"study_design_scores_gemma":[0.001015157,0.0001094912,0.00005312505,0.0003085502,0.0002765571,0.000001039686,0.0009481728,0.3273938,0.003191487,0.6663849,0.00005088811,0.0002668691],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.009505907,0.00008204502,0.9847853,0.000592381,0.0001560589,0.00445996,0.00005290227,0.0000816043,0.0002839091],"genre_scores_gemma":[0.2727477,0.000007591116,0.7243655,0.000008540282,0.00006187319,0.002693179,0.00002132043,0.00006917046,0.00002511907],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.3252892,"threshold_uncertainty_score":0.9999816,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1289338697216469,"score_gpt":0.3992457897781712,"score_spread":0.2703119200565242,"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."}}