{"id":"W2060306687","doi":"10.1016/j.jco.2007.11.004","title":"Adaptivity and computational complexity in the numerical solution of ODEs","year":2008,"lang":"en","type":"article","venue":"Journal of Complexity","topic":"Numerical methods for differential equations","field":"Mathematics","cited_by":29,"is_retracted":false,"has_abstract":false,"ca_institutions":"Western University","funders":"","keywords":"Equidistant; Ode; Grid; Mathematics; Variable (mathematics); Mathematical optimization; Constant (computer programming); Function (biology); Applied mathematics; Algorithm; Computer science; Geometry; 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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001100454,0.0001049932,0.000426256,0.0001045321,0.000130022,0.0000101791,0.0002092258,0.00004186342,0.00004255033],"category_scores_gemma":[0.0008157557,0.00007259593,0.0001267261,0.0002446652,0.0005464674,0.000140149,0.00005119219,0.0003131321,9.330873e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004451739,"about_ca_system_score_gemma":0.00006798509,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00007770789,"about_ca_topic_score_gemma":0.00003221117,"domain_scores_codex":[0.997924,0.0006774469,0.0006570552,0.00008753257,0.0005153753,0.0001386261],"domain_scores_gemma":[0.9974039,0.001629728,0.0005668091,0.0001274651,0.0002123302,0.00005982372],"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":[0.0003529719,0.002214582,0.02804022,0.0001218351,0.0001207002,0.00003036998,0.003663587,0.0001639523,0.0005369404,0.9579594,0.0005632163,0.006232276],"study_design_scores_gemma":[0.0003956331,0.0001300866,0.2955524,0.00002121237,0.00001974611,0.0001879016,0.00007059232,0.006872189,0.00004833666,0.6966177,0.00003163976,0.00005256158],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5638104,0.00003120159,0.4353639,0.0005369483,0.00004464419,0.0000789895,0.000007899976,0.000004402346,0.0001216496],"genre_scores_gemma":[0.6574838,0.000004925844,0.3424315,0.00003179015,0.00003946084,8.62281e-7,0.000001079501,0.000004342392,0.000002271201],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2675122,"threshold_uncertainty_score":0.2960376,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.3844642780201271,"score_gpt":0.4089244228139247,"score_spread":0.0244601447937976,"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."}}