{"id":"W3128469126","doi":"10.1016/j.apnum.2021.01.019","title":"A study of the numerical stability of an ImEx scheme with application to the Poisson-Nernst-Planck equations","year":2021,"lang":"en","type":"article","venue":"Applied Numerical Mathematics","topic":"Gas Dynamics and Kinetic Theory","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Eigenvalues and eigenvectors; Stability (learning theory); Integrator; Steady state (chemistry); Classification of discontinuities; Boundary value problem; Applied mathematics; Mathematical analysis; Boundary (topology); Control theory (sociology); Physics; Voltage","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00187184,0.0005914222,0.0007689698,0.0007455592,0.0009893068,0.001231236,0.0009171873,0.001192152,0.002483335],"category_scores_gemma":[0.009954006,0.0002252402,0.0004521383,0.0005410193,0.001876626,0.0009560803,0.001483702,0.001027727,0.0002098517],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000624146,"about_ca_system_score_gemma":0.0005864903,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002371342,"about_ca_topic_score_gemma":0.000753566,"domain_scores_codex":[0.9995518,0.0002251981,0.00002123445,0.00004649144,0.0001135429,0.00004171729],"domain_scores_gemma":[0.9961182,0.002576756,0.0003925468,0.0002444902,0.0005317305,0.0001362296],"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":[0.001181915,0.0003251892,0.007489635,0.000552516,0.000122436,0.0007760377,0.000881595,0.6471298,0.04625253,0.2573248,0.001944266,0.03601935],"study_design_scores_gemma":[0.00001104453,0.00004605567,0.000314521,0.00001336191,0.000004850359,0.00002825049,0.00002579872,0.9939398,0.00171342,0.003580439,0.0003156023,0.000006911339],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6511143,0.002973612,0.3073799,0.001950849,0.0004334197,0.0002451194,0.0002019746,0.0005085947,0.03519218],"genre_scores_gemma":[0.967091,0.0004286394,0.02701898,0.00008355469,0.00008277086,0.00008893348,0.00006069053,0.0001285596,0.005016952],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002483335,"threshold_uncertainty_score":0.009899378,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02617797057022116,"score_gpt":0.2856807065476211,"score_spread":0.2595027359774,"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."}}