{"id":"W4366993129","doi":"10.1016/j.jcp.2023.112159","title":"Embedded paired explicit Runge-Kutta schemes","year":2023,"lang":"en","type":"article","venue":"Journal of Computational Physics","topic":"Computational Fluid Dynamics and Aerodynamics","field":"Engineering","cited_by":9,"is_retracted":false,"has_abstract":false,"ca_institutions":"Concordia University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Airfoil; NACA airfoil; Discretization; Runge–Kutta methods; Mathematics; Applied mathematics; Limit (mathematics); Stability (learning theory); Control theory (sociology); Mathematical optimization; Mathematical analysis; Differential equation; Computer science; Mechanics; Physics; Turbulence","routes":{"ca_aff":true,"ca_fund":true,"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":[0.0001602346,0.0001400297,0.0002182637,0.0001369121,0.00005997728,0.0000535094,0.0001768598,0.00003893434,0.00000961634],"category_scores_gemma":[0.00001846215,0.0001424406,0.0001621523,0.0005158612,0.00001860312,0.0002222664,0.00003269775,0.0001884094,0.00006086654],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006899054,"about_ca_system_score_gemma":0.00007494587,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":3.311033e-7,"about_ca_topic_score_gemma":2.928725e-7,"domain_scores_codex":[0.9988321,0.00001618152,0.0004255026,0.0000844695,0.0004690315,0.0001727297],"domain_scores_gemma":[0.9991661,0.0002397575,0.0001132999,0.00007789623,0.0003185925,0.00008436263],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.000006771578,0.00002608173,0.00009510513,0.00002374595,0.00009684632,0.00001627009,0.0001448072,0.9684839,0.000623952,0.02142487,0.003380966,0.005676738],"study_design_scores_gemma":[0.0003355826,0.00002968592,0.004613978,0.00003058212,0.00001400304,0.00001880843,0.00003817474,0.8654732,0.00004772207,0.1287841,0.0004844819,0.0001296394],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7241509,0.00008038718,0.2745278,0.0001660031,0.0005829189,0.00005353925,0.00001975421,0.0001457995,0.0002729253],"genre_scores_gemma":[0.9902368,0.00003163171,0.009004279,0.00006146637,0.0005123122,0.000001803669,0.00006813934,0.00003670104,0.0000468363],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2660859,"threshold_uncertainty_score":0.5808557,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01153138296523936,"score_gpt":0.2267833600516024,"score_spread":0.215251977086363,"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."}}