{"id":"W192175122","doi":"10.1007/978-1-4614-8453-0_12","title":"Numerical Solution of ODEs","year":2013,"lang":"en","type":"book-chapter","venue":"","topic":"Numerical methods for differential equations","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":false,"ca_institutions":"Western University","funders":"","keywords":"Ode; Ordinary differential equation; Initial value problem; Residual; Applied mathematics; MATLAB; Differentiable function; Numerical analysis; Chaotic; Mathematics; Computer science; Representation (politics); Differential equation; Mathematical analysis; Algorithm; Artificial intelligence","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004333119,0.0007635597,0.0009360081,0.0008269784,0.000438197,0.001262957,0.001069405,0.0009309009,0.01423288],"category_scores_gemma":[0.001421991,0.0003932315,0.0007809574,0.0007296174,0.0009897037,0.001344066,0.001712514,0.001797699,0.008138781],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000668138,"about_ca_system_score_gemma":0.0007205266,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008576012,"about_ca_topic_score_gemma":0.0009541711,"domain_scores_codex":[0.9996,0.00005512497,0.00001984559,0.00005160359,0.0002521383,0.00002122358],"domain_scores_gemma":[0.9997577,0.00008888585,0.00001266806,0.00004526504,0.00008115818,0.0000142905],"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":[0.00002324475,0.0000459189,0.000118509,0.0005804225,0.00003066589,0.00006273101,0.000149538,0.04627792,0.009605139,0.6964623,0.03974215,0.2069014],"study_design_scores_gemma":[0.00002323348,0.00002790326,0.0002138441,0.0002795444,0.00001728381,0.0001869088,0.00004451366,0.2298938,0.006463286,0.4036036,0.3592024,0.00004353383],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.002277623,0.008602136,0.8213742,0.0008011893,0.00148154,0.00007500888,0.0002312552,0.0008907427,0.1642664],"genre_scores_gemma":[0.08079281,0.02494985,0.5233058,0.0007908781,0.001391092,0.0004339374,0.001333262,0.001202067,0.3658004],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.01423288,"threshold_uncertainty_score":0.04761368,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1285409702754333,"score_gpt":0.35369369892134,"score_spread":0.2251527286459067,"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."}}