{"id":"W4378802446","doi":"10.1051/m2an/2023038","title":"Fully discrete Schwarz waveform relaxation analysis for the heat equation on a finite spatial domain","year":2023,"lang":"en","type":"article","venue":"ESAIM. Mathematical modelling and numerical analysis","topic":"Numerical methods for differential equations","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"Memorial University of Newfoundland","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Schwarz alternating method; Partial differential equation; Mathematics; Bounded function; Waveform; Heat equation; Mathematical analysis; Discrete time and continuous time; Norm (philosophy); Additive Schwarz method; Relaxation (psychology); Integrator; Applied mathematics; Domain decomposition methods; Finite element method; Computer science","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":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.001881778,0.0004117388,0.001130043,0.0008456929,0.0007140297,0.0001906319,0.0003037369,0.0001962546,0.0001788359],"category_scores_gemma":[0.002037375,0.0002621371,0.001198356,0.005020177,0.000153307,0.0001323948,0.0001057005,0.0003397696,0.00008392607],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00008728753,"about_ca_system_score_gemma":0.00002302838,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001422258,"about_ca_topic_score_gemma":0.00002221953,"domain_scores_codex":[0.9964538,0.0003139621,0.001066541,0.0007051436,0.0008617177,0.0005988993],"domain_scores_gemma":[0.987885,0.0106498,0.0003039756,0.0007378251,0.0001714797,0.0002518977],"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":[0.0003126641,0.0004526206,0.000281798,0.0002017902,0.009351796,0.000003717708,0.002040788,0.7218266,0.00006589633,0.2528034,0.00006083753,0.01259807],"study_design_scores_gemma":[0.0002000716,0.00009088448,0.00009647141,0.00001632383,0.005029527,3.279762e-7,0.0001207397,0.5402922,0.00002900032,0.453886,0.00005155558,0.0001869623],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.01859376,0.00002530517,0.9775972,0.002554066,0.00006135482,0.0006394575,0.0000667342,0.0002651981,0.0001969438],"genre_scores_gemma":[0.7097968,0.00003523083,0.2889093,0.00009289234,0.000137912,0.0003324501,0.0001811469,0.00005398327,0.0004603018],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.691203,"threshold_uncertainty_score":0.9999831,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1001219788635654,"score_gpt":0.3416166963838536,"score_spread":0.2414947175202883,"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."}}