{"id":"W2902098702","doi":"10.1007/s42493-018-00012-y","title":"Asymptotic Convergence Rates of Schwarz Waveform Relaxation Algorithms for Schrödinger Equations with an Arbitrary Number of Subdomains","year":2019,"lang":"en","type":"article","venue":"Multiscale Science and Engineering","topic":"Numerical methods in inverse problems","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":false,"ca_institutions":"Université de Montréal; Carleton University; Statistics Canada","funders":"Agence Nationale de la Recherche","keywords":"Schwarz alternating method; Domain decomposition methods; Mathematics; Convergence (economics); Rate of convergence; Relaxation (psychology); Waveform; Additive Schwarz method; Domain (mathematical analysis); Applied mathematics; Algorithm; Mathematical analysis; Computer science; Physics; Key (lock); Quantum mechanics; Finite element 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":[0.01070849,0.001767876,0.001151842,0.002097869,0.001329828,0.002418561,0.003065239,0.002395378,0.005633875],"category_scores_gemma":[0.04104267,0.0009497997,0.001336818,0.001039854,0.003936011,0.004723953,0.005342068,0.004115847,0.0006639317],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002349006,"about_ca_system_score_gemma":0.002927582,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003228313,"about_ca_topic_score_gemma":0.002809263,"domain_scores_codex":[0.9980738,0.001034427,0.0001026969,0.0001723895,0.0003889977,0.0002277504],"domain_scores_gemma":[0.9686208,0.02470627,0.001047289,0.001319987,0.003021877,0.001283667],"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":[0.0009641679,0.0002040189,0.002561634,0.0004274413,0.0001058104,0.0001588387,0.0006317661,0.4008823,0.00791463,0.5501626,0.003719911,0.0322669],"study_design_scores_gemma":[0.00002247509,0.00004875024,0.0001451193,0.00003206505,0.00001120301,0.00002479916,0.00004932249,0.9669743,0.001181116,0.0311359,0.0003606584,0.00001444688],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.09752583,0.001310652,0.8838384,0.001588457,0.0002369798,0.0001678099,0.0001617209,0.0003232366,0.01484701],"genre_scores_gemma":[0.5797659,0.001320304,0.3991301,0.0005537334,0.0002670474,0.0005907162,0.0007561679,0.0009494267,0.01666659],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01070849,"threshold_uncertainty_score":0.05663264,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05737803612933383,"score_gpt":0.345026881310248,"score_spread":0.2876488451809142,"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."}}