{"id":"W3162060234","doi":"10.48550/arxiv.2104.12340","title":"Linearly Stabilized Schemes for the Time Integration of Stiff Nonlinear PDEs","year":2021,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Numerical methods for differential equations","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Simon Fraser University","funders":"","keywords":"Nonlinear system; Component (thermodynamics); Stability (learning theory); Simplicity; Time stepping; Backward differentiation formula; Applied mathematics; Computer science; Mathematics; Matrix (chemical analysis); Mathematical optimization; Term (time); Mathematical analysis; Differential equation; Ordinary differential equation","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":[0.0004588877,0.0002690705,0.0005490425,0.0001188154,0.0001287121,0.00007062145,0.00057083,0.0002631182,0.0002555862],"category_scores_gemma":[0.002403105,0.0002230937,0.0004774969,0.0002977836,0.0001877595,0.0001093648,0.0004602372,0.0004341068,0.000009526125],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001015684,"about_ca_system_score_gemma":0.0002056415,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00007236034,"about_ca_topic_score_gemma":0.00004848762,"domain_scores_codex":[0.9985257,0.0002604103,0.0003811427,0.0005102554,0.000114495,0.0002080319],"domain_scores_gemma":[0.9951564,0.002809887,0.0004694471,0.0008810303,0.0006119331,0.00007129224],"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":[0.001659319,0.003939519,0.0006876643,0.003743171,0.004578407,0.00004216225,0.005093361,0.02039477,0.06041157,0.8386056,0.0005726977,0.0602718],"study_design_scores_gemma":[0.0009175289,0.0001100966,0.00009042854,0.0002820796,0.001145489,6.84673e-7,0.000754173,0.4934007,0.01014934,0.4921369,0.0005950691,0.0004175142],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2870742,0.00004150509,0.7116449,0.0001038277,0.0002035926,0.0006741866,0.0001105232,0.0000661963,0.00008109804],"genre_scores_gemma":[0.6225822,0.00007779607,0.3743923,0.00002546424,0.0001411445,0.00001157751,0.0001581626,0.00006094957,0.002550428],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.473006,"threshold_uncertainty_score":0.9097495,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.2131265728009598,"score_gpt":0.2887229245932073,"score_spread":0.0755963517922475,"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."}}