{"id":"W4415542131","doi":"10.1007/s42967-025-00514-1","title":"Fully-Discrete Provably Lyapunov Consistent Discretizations for Convection-Diffusion-Reaction PDE Systems","year":2025,"lang":"en","type":"article","venue":"Communications on Applied Mathematics and Computation","topic":"Stability and Controllability of Differential Equations","field":"Engineering","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"King Abdullah University of Science and Technology","keywords":"Galerkin method; Dissipative system; Lyapunov function; Partial differential equation; Stability (learning theory); Numerical stability; Boundary value problem; Numerical analysis; Boundary (topology); Discontinuous Galerkin method","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":[0.001214626,0.0005921301,0.0004984126,0.0005456944,0.000486943,0.001209816,0.000772536,0.000845282,0.001575139],"category_scores_gemma":[0.002785825,0.0002900336,0.0005663103,0.0002080007,0.001333595,0.0005529749,0.001726355,0.0009374887,0.0001865329],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000905092,"about_ca_system_score_gemma":0.0008603615,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003174831,"about_ca_topic_score_gemma":0.002321965,"domain_scores_codex":[0.9996096,0.0001771097,0.00002475576,0.00004168594,0.0001208202,0.00002599339],"domain_scores_gemma":[0.9987784,0.0006307815,0.0001783623,0.00007288995,0.000258599,0.00008097815],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00006812973,0.00005237196,0.001051639,0.0001022704,0.00002680516,0.0001880136,0.0001792121,0.8099934,0.006038041,0.1738424,0.0006727153,0.007785032],"study_design_scores_gemma":[0.000003924621,0.00001018637,0.00002838037,0.000003739703,0.000001174354,0.000004257456,0.00000550694,0.994165,0.0001655682,0.005347637,0.0002623758,0.000002267723],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.05992403,0.000318728,0.930438,0.0004384517,0.00009005771,0.00008861264,0.00009498085,0.0001709217,0.008436276],"genre_scores_gemma":[0.8597839,0.0002234371,0.1329937,0.0001032588,0.00004722409,0.0002595322,0.0001439285,0.00006076174,0.006384214],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.003174831,"threshold_uncertainty_score":0.006566942,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0218420030996777,"score_gpt":0.2702865211676326,"score_spread":0.2484445180679549,"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."}}