{"id":"W2047827173","doi":"10.1016/j.matcom.2004.10.008","title":"Quadratic spline methods for the shallow water equations on the sphere: Galerkin","year":2006,"lang":"en","type":"article","venue":"Mathematics and Computers in Simulation","topic":"Meteorological Phenomena and Simulations","field":"Earth and Planetary Sciences","cited_by":3,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Toronto","funders":"National Center for Atmospheric Research","keywords":"Discretization; Shallow water equations; Rossby wave; Mathematics; Discontinuous Galerkin method; Mathematical analysis; Legendre polynomials; Quadratic equation; Spectral method; Spectral element method; Applied mathematics; Galerkin method; Finite element method; Physics; Geometry; Extended 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":[0.001137,0.0005830047,0.0008619028,0.0005825806,0.0003587694,0.000896127,0.001023338,0.0009888348,0.002183171],"category_scores_gemma":[0.004329407,0.0004867054,0.0006690421,0.001318346,0.001036438,0.001527573,0.001467288,0.002332611,0.000696619],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005257798,"about_ca_system_score_gemma":0.001139483,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.004937369,"about_ca_topic_score_gemma":0.004652991,"domain_scores_codex":[0.9994978,0.0002227559,0.00002103196,0.00004714934,0.0001804343,0.0000308634],"domain_scores_gemma":[0.9987038,0.000816834,0.00007539574,0.00008716698,0.0002507391,0.00006610691],"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":[0.0001436527,0.0001095296,0.0005168458,0.0002761155,0.00004279214,0.00003555539,0.0001674543,0.6932695,0.004908598,0.1416956,0.003994254,0.1548401],"study_design_scores_gemma":[0.000008314168,0.0000104567,0.00006165812,0.000006563915,0.000003423771,0.000009059834,0.000008409878,0.9825646,0.0003416825,0.01539493,0.001584708,0.000006174854],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.005313615,0.0005475615,0.9928826,0.0001466465,0.00004504465,0.000008658006,0.00003349957,0.0001022598,0.000920197],"genre_scores_gemma":[0.3271334,0.003079452,0.6515557,0.0001143382,0.0002721093,0.0001253164,0.0002974998,0.0005440657,0.01687828],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.004937369,"threshold_uncertainty_score":0.009817302,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05694537103874555,"score_gpt":0.3019515517125559,"score_spread":0.2450061806738104,"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."}}