{"id":"W2102876543","doi":"10.1175/1520-0493(2004)132<1306:solcss>2.0.co;2","title":"Stability of Leapfrog Constant-Coefficients Semi-Implicit Schemes for the Fully Elastic System of Euler Equations: Flat-Terrain Case","year":2004,"lang":"en","type":"article","venue":"Monthly Weather Review","topic":"Geophysics and Gravity Measurements","field":"Earth and Planetary Sciences","cited_by":21,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université du Québec à Montréal","funders":"","keywords":"Discretization; Hydrostatic equilibrium; Euler equations; Residual; Robustness (evolution); Primitive equations; Mathematics; Euler's formula; Applied mathematics; Numerical weather prediction; Backward Euler method; Euler angles; Terrain; Mathematical analysis; Computer science; Simultaneous equations; Geometry; Meteorology; Algorithm; Physics","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":[0.001057273,0.0001640522,0.0004296442,0.00002687982,0.0001394522,0.00001632421,0.0002285345,0.00003968097,0.0001487873],"category_scores_gemma":[0.0002420525,0.0001039254,0.0001892079,0.0002469401,0.0001144492,0.00006983352,0.00001299396,0.0000748295,0.00002824519],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001416568,"about_ca_system_score_gemma":0.00009011816,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001492506,"about_ca_topic_score_gemma":0.0009144619,"domain_scores_codex":[0.9985347,0.0001026121,0.000556556,0.0002365968,0.0003380206,0.00023148],"domain_scores_gemma":[0.9986507,0.000362924,0.0002858934,0.0004253987,0.0002090713,0.00006605346],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"design_other","study_design_gemma":"not_applicable","study_design_scores_codex":[0.0006737279,0.002132305,0.1999091,0.1036008,0.002679977,0.0002263815,0.008912615,0.03287644,0.006012314,0.02610893,0.001223609,0.6156439],"study_design_scores_gemma":[0.04306136,0.01392042,0.1446109,0.1976448,0.01944501,0.001255722,0.03134897,0.195996,0.03131769,0.02915011,0.2798346,0.01241448],"study_design_candidate":"design_other","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7165039,0.2459206,0.02438156,0.0006697319,0.0006882802,0.006356303,0.002881425,0.00006677562,0.00253137],"genre_scores_gemma":[0.9992571,0.000343591,0.0002281728,0.00007110314,0.00002074702,0.00002022471,0.00004104743,0.000005600344,0.00001237277],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.6032294,"threshold_uncertainty_score":0.4237955,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04119575995911102,"score_gpt":0.2555779234405095,"score_spread":0.2143821634813985,"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."}}