{"id":"W1545311513","doi":"10.1023/a:1021944218806","title":"Fast Fourier Transform Solvers and Preconditioners for Quadratic Spline Collocation","year":2002,"lang":"en","type":"article","venue":"BIT Numerical Mathematics","topic":"Advanced Numerical Methods in Computational Mathematics","field":"Engineering","cited_by":15,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Preconditioner; Mathematics; Rate of convergence; Partial differential equation; Elliptic partial differential equation; Condition number; Applied mathematics; Constant coefficients; Dirichlet boundary condition; Fast Fourier transform; Boundary value problem; Mathematical analysis; Linear system; Computer science; Algorithm; Eigenvalues and eigenvectors","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001495812,0.0002361134,0.0003631807,0.00008121616,0.0001031886,0.00004130244,0.0001189078,0.00009331066,0.0001155596],"category_scores_gemma":[0.0003011816,0.0002260399,0.0000858244,0.0002656539,0.00007988801,0.0001695205,0.00001418642,0.0001271471,0.00003881511],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00007722618,"about_ca_system_score_gemma":0.000005893979,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":2.721367e-7,"about_ca_topic_score_gemma":2.805452e-7,"domain_scores_codex":[0.9987819,0.00001584083,0.0005037915,0.0001953501,0.0002252135,0.0002779616],"domain_scores_gemma":[0.9984401,0.001080795,0.00008501607,0.0001932916,0.00006041862,0.0001403159],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"design_other","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00004665429,0.001570857,0.00005156222,0.009652178,0.0007127255,0.00001087039,0.01263986,0.2874648,0.002551244,0.1266831,0.01418394,0.5444323],"study_design_scores_gemma":[0.0003625899,0.00007864326,0.000009723212,0.00005474157,0.00004922672,0.00001795761,0.0001941721,0.868893,0.0004246629,0.128103,0.001557959,0.0002542329],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.002210872,0.0001581202,0.9942967,0.0003136694,0.0001637541,0.000658452,0.00003123234,0.0002983572,0.001868818],"genre_scores_gemma":[0.06730464,0.00006218337,0.9319403,0.00008578813,0.00008629602,0.000211029,0.00001289894,0.00007640659,0.000220434],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.5814283,"threshold_uncertainty_score":0.9217638,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02938821307998853,"score_gpt":0.2646046490849331,"score_spread":0.2352164360049446,"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."}}