{"id":"W2057047013","doi":"10.1016/j.jcp.2012.02.029","title":"A high-order Monte Carlo algorithm for the direct simulation of Boltzmann equation","year":2012,"lang":"en","type":"article","venue":"Journal of Computational Physics","topic":"Gas Dynamics and Kinetic Theory","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Direct simulation Monte Carlo; Boltzmann equation; Monte Carlo method; Discretization; Taylor series; Convergence (economics); Boltzmann constant; Applied mathematics; Collision; Statistical physics; Series (stratigraphy); Probabilistic logic; Flow (mathematics); Rate of convergence; Algorithm; Mathematics; Computer science; Dynamic Monte Carlo method; Physics; Mathematical analysis; Geometry","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":[0.0006011161,0.00008423087,0.0002002566,0.00003725471,0.00006116859,0.00001436046,0.00009984483,0.00003031315,0.000004303383],"category_scores_gemma":[0.0001660908,0.00005895167,0.000135843,0.0001070598,0.00003119685,0.0001670134,0.00001551008,0.00008439012,7.328396e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003097247,"about_ca_system_score_gemma":0.00004976518,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000002845318,"about_ca_topic_score_gemma":2.501511e-7,"domain_scores_codex":[0.9990516,0.00004869823,0.0004093839,0.00004430024,0.000338662,0.0001074022],"domain_scores_gemma":[0.9960794,0.002362489,0.0006499906,0.00007775228,0.0007956856,0.00003460835],"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":[0.0000199997,0.0001555149,0.00002852406,0.00001946123,0.0001128004,1.10464e-7,0.0004756394,0.9096649,0.00002090488,0.06246591,0.0001400693,0.02689616],"study_design_scores_gemma":[0.0003651647,0.00005549752,0.0008617116,0.00001816402,0.00008395463,0.000001962862,0.00004224172,0.6296468,0.00004389144,0.3687419,0.00009677911,0.00004194018],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.06351534,0.0001225957,0.9356881,0.0001216595,0.0003350611,0.0001530296,0.0000196797,0.000004871618,0.00003965951],"genre_scores_gemma":[0.8626381,0.000003463572,0.1366429,0.00003140171,0.0006328404,0.000002745733,0.000003940313,0.0000140503,0.00003060399],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.7991227,"threshold_uncertainty_score":0.2403979,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03727972909096101,"score_gpt":0.3125556743932997,"score_spread":0.2752759453023387,"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."}}