{"id":"W2063467533","doi":"10.3934/dcdsb.2012.17.1551","title":"Long time numerical stability and asymptotic analysis for the viscoelastic Oldroyd flows","year":2012,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems - B","topic":"Navier-Stokes equation solutions","field":"Mathematics","cited_by":15,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Alberta","funders":"","keywords":"Discretization; Viscoelasticity; Stability (learning theory); Mathematics; Euler's formula; Numerical analysis; Exponential stability; Mathematical analysis; Backward Euler method; Temporal discretization; Steady state (chemistry); Numerical stability; Applied mathematics; Physics; Computer science; Nonlinear system","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":[0.0008391,0.0002239992,0.0006142237,0.00006887343,0.0003049666,0.0001376748,0.0001431087,0.0001232337,0.00004942415],"category_scores_gemma":[0.000526834,0.0001493295,0.0002083126,0.0003101688,0.000137027,0.0001705783,0.00009088439,0.0001510051,0.00001260913],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006854515,"about_ca_system_score_gemma":0.00001545452,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00009312624,"about_ca_topic_score_gemma":0.00004054484,"domain_scores_codex":[0.9981756,0.000237026,0.0005327436,0.0003116772,0.0002795664,0.0004634377],"domain_scores_gemma":[0.9969189,0.002177838,0.0001758228,0.0004039842,0.0000957814,0.0002276446],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"observational","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.000458066,0.001457408,0.603987,0.001902589,0.009885916,0.0000102075,0.008318186,0.0008589183,0.001625127,0.360521,0.001169592,0.00980605],"study_design_scores_gemma":[0.0007297329,0.0001033887,0.0381196,0.00005027897,0.002873634,0.00002535007,0.0006853817,0.9548947,0.000006512473,0.00157943,0.0005266621,0.0004053164],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.4548066,0.001049213,0.5425538,0.0001909696,0.0001444906,0.00089177,0.0001013266,0.00007061967,0.0001911385],"genre_scores_gemma":[0.9984896,0.000007216155,0.0005857712,0.00002118029,0.0001460204,0.0001880644,0.0000384833,0.00002583169,0.0004978047],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.9540358,"threshold_uncertainty_score":0.6089482,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02648333283120713,"score_gpt":0.287159576567294,"score_spread":0.2606762437360868,"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."}}