{"id":"W4411974567","doi":"10.1007/s10915-025-02981-3","title":"Convergent Sixth-order Compact Finite Difference Method for Variable-Coefficient Elliptic PDEs in Curved Domains","year":2025,"lang":"en","type":"article","venue":"Journal of Scientific Computing","topic":"Advanced Numerical Methods in Computational Mathematics","field":"Engineering","cited_by":2,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Order (exchange); Variable coefficient; Mathematical analysis; Variable (mathematics); Elliptic curve; Finite difference method; Applied mathematics","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":[0.001315115,0.0005358058,0.001011919,0.0005689285,0.0004737091,0.0009458411,0.001701192,0.001639548,0.002537348],"category_scores_gemma":[0.002569865,0.0002968119,0.0006561949,0.0003186286,0.001140658,0.000873205,0.001458525,0.001688162,0.0005366394],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006700305,"about_ca_system_score_gemma":0.001285771,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003319109,"about_ca_topic_score_gemma":0.002952508,"domain_scores_codex":[0.9997286,0.0000678178,0.00001702912,0.00002360407,0.0001368026,0.00002611205],"domain_scores_gemma":[0.9987301,0.0004837718,0.00008362594,0.0001091958,0.0004836574,0.0001097546],"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":[0.0004558282,0.0002961546,0.001417882,0.0005656601,0.00008338492,0.0004724708,0.0006170829,0.6770993,0.03813185,0.1865321,0.002983643,0.09134457],"study_design_scores_gemma":[0.00001035715,0.00002275593,0.0000419036,0.000008530185,0.000002770537,0.00002380082,0.00001131616,0.9962177,0.0009116697,0.001963149,0.0007808595,0.000005169617],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.03476989,0.0002706166,0.9586202,0.0002124055,0.0002601032,0.00006495745,0.00006341961,0.0001656437,0.005572733],"genre_scores_gemma":[0.4691869,0.0004352809,0.5061412,0.0002746204,0.0001587607,0.0002789125,0.0003139297,0.0002954288,0.02291492],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.003319109,"threshold_uncertainty_score":0.008488238,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02941794540251717,"score_gpt":0.3407007785506014,"score_spread":0.3112828331480842,"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."}}