{"id":"W2969895917","doi":"10.1016/j.cam.2021.113544","title":"A generalized optimal fourth-order finite difference scheme for a 2D Helmholtz equation with the perfectly matched layer boundary condition","year":2021,"lang":"en","type":"article","venue":"Journal of Computational and Applied Mathematics","topic":"Seismic Imaging and Inversion Techniques","field":"Earth and Planetary Sciences","cited_by":8,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Calgary","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Helmholtz equation; Mathematics; Perfectly matched layer; Weighting; Finite difference; Finite difference method; Boundary value problem; Mathematical analysis; Wave equation; Helmholtz free energy; Boundary (topology); Applied mathematics; Numerical analysis; Mathematical optimization; Physics","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":[0.0005064163,0.0004486803,0.0007920571,0.0003267774,0.0003231193,0.0005489845,0.001186376,0.001431863,0.002955113],"category_scores_gemma":[0.001007665,0.0003265871,0.0005520888,0.0002941837,0.0005278803,0.0006648818,0.001012335,0.0009179027,0.0005063714],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0004910266,"about_ca_system_score_gemma":0.001252922,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003835028,"about_ca_topic_score_gemma":0.004245597,"domain_scores_codex":[0.9998264,0.00004706581,0.00001279272,0.0000226551,0.0000744777,0.00001668058],"domain_scores_gemma":[0.9997553,0.00009622292,0.00002120946,0.00002680759,0.00007567679,0.00002475247],"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":[0.00029474,0.0001642825,0.001179677,0.0004688341,0.00007688336,0.0003252962,0.0002522041,0.7006388,0.05823739,0.0985483,0.003366976,0.1364466],"study_design_scores_gemma":[0.00001347448,0.00001931071,0.0000573771,0.000007793477,0.000004082523,0.00002497347,0.000006537392,0.9956483,0.001071088,0.001707914,0.001431509,0.000007587762],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.0135414,0.0002244329,0.9830375,0.0001597396,0.0001960313,0.0000600118,0.00006681317,0.0001246926,0.002589418],"genre_scores_gemma":[0.1927049,0.0003164469,0.797716,0.0001912761,0.00009222776,0.0002183132,0.0002132019,0.0001293058,0.00841833],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.003835028,"threshold_uncertainty_score":0.009885848,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02572475312081968,"score_gpt":0.2432244840184381,"score_spread":0.2174997308976184,"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."}}