{"id":"W1991678091","doi":"10.1090/s0025-5718-2012-02588-9","title":"Convergence analysis of a class of massively parallel direction splitting algorithms for the Navier-Stokes equations in simple domains","year":2012,"lang":"en","type":"article","venue":"Mathematics of Computation","topic":"Advanced Numerical Methods in Computational Mathematics","field":"Engineering","cited_by":13,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Alberta","funders":"","keywords":"Convergence (economics); Mathematics; Simple (philosophy); Compressibility; Navier–Stokes equations; Massively parallel; Class (philosophy); Applied mathematics; Algorithm; Numerical analysis; Time stepping; Mathematical analysis; Parallel computing; 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":[0.001452794,0.000685463,0.000555047,0.000744579,0.0005343721,0.0006868885,0.000727999,0.0006162311,0.0008576881],"category_scores_gemma":[0.003965237,0.0002348163,0.0005191428,0.0004324198,0.001311004,0.000739431,0.00107638,0.0008550285,0.0001548333],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0004292695,"about_ca_system_score_gemma":0.0006204282,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000878681,"about_ca_topic_score_gemma":0.0006199293,"domain_scores_codex":[0.9996639,0.0001076927,0.00001689141,0.00003606337,0.0001501492,0.00002517615],"domain_scores_gemma":[0.9985594,0.0006610029,0.0001719849,0.0001529374,0.0003162776,0.000138416],"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":[0.0002850682,0.0001479448,0.002810366,0.0002258049,0.00009328819,0.0002294707,0.0002635928,0.68527,0.02810424,0.2089965,0.001240013,0.07233386],"study_design_scores_gemma":[0.00001260759,0.00002883345,0.0001682656,0.000006070779,0.000003514986,0.00002461458,0.000006304466,0.986068,0.001437863,0.01185892,0.0003798551,0.000005067569],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.140402,0.0004911784,0.8538342,0.0002001458,0.00007664514,0.00009417854,0.00004241346,0.0001713029,0.004687875],"genre_scores_gemma":[0.7030393,0.0004875133,0.292718,0.00006542292,0.00007928626,0.0002139364,0.0001119405,0.0001006406,0.003183975],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.001452794,"threshold_uncertainty_score":0.007683158,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05731697158866243,"score_gpt":0.3556123532710453,"score_spread":0.2982953816823828,"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."}}