{"id":"W2030407843","doi":"10.1016/j.mcm.2012.08.011","title":"Local Linearization—Runge–Kutta methods: A class of A-stable explicit integrators for dynamical systems","year":2012,"lang":"en","type":"article","venue":"Mathematical and Computer Modelling","topic":"Numerical methods for differential equations","field":"Mathematics","cited_by":22,"is_retracted":false,"has_abstract":false,"ca_institutions":"McGill University; Montreal Neurological Institute and Hospital","funders":"Conselho Nacional de Desenvolvimento Científico e Tecnológico","keywords":"Ode; Mathematics; Runge–Kutta methods; Ordinary differential equation; Integrator; Linearization; Applied mathematics; Dynamical systems theory; Differential equation; Exponential integrator; Convergence (economics); Mathematical analysis; Nonlinear system; Differential algebraic equation; Computer science","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":[0.000482593,0.0004783278,0.000506464,0.0004417849,0.000431635,0.0008244189,0.0006801261,0.0005746215,0.001579135],"category_scores_gemma":[0.000981342,0.0002851588,0.0004665809,0.0002998198,0.0007272429,0.000911977,0.001168619,0.0008703322,0.0004729926],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002767393,"about_ca_system_score_gemma":0.0003912579,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006906001,"about_ca_topic_score_gemma":0.000723779,"domain_scores_codex":[0.9998354,0.000059868,0.00001041531,0.00002465118,0.00005670551,0.00001297399],"domain_scores_gemma":[0.999725,0.00009516616,0.00005414178,0.00004144046,0.00006339505,0.00002078716],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.0002585964,0.0001519748,0.001302716,0.0005306376,0.0001606208,0.0003762807,0.001112006,0.2637794,0.05733762,0.4611304,0.002937132,0.2109226],"study_design_scores_gemma":[0.00002509295,0.0001108709,0.0002415983,0.00003266691,0.00002491112,0.00008520426,0.00004623648,0.941673,0.004985834,0.04789301,0.004856898,0.00002455634],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.02644764,0.0007692409,0.9683903,0.00009919525,0.00003835897,0.00003202671,0.00001716476,0.0002801972,0.003925764],"genre_scores_gemma":[0.8485105,0.001075772,0.1406982,0.0001040055,0.00007409094,0.0001389869,0.00005377077,0.0002079127,0.009136803],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.001579135,"threshold_uncertainty_score":0.00528276,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1139923744020839,"score_gpt":0.3645892111291466,"score_spread":0.2505968367270627,"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."}}