{"id":"W2160460946","doi":"10.1137/050628271","title":"Linear PDEs and Numerical Methods That Preserve a Multisymplectic Conservation Law","year":2006,"lang":"en","type":"article","venue":"SIAM Journal on Scientific Computing","topic":"Numerical methods for differential equations","field":"Mathematics","cited_by":57,"is_retracted":false,"has_abstract":true,"ca_institutions":"McGill University","funders":"","keywords":"Mathematics; Conservation law; Discretization; Numerical analysis; Symplectic geometry; Hamiltonian (control theory); Mathematical analysis; Midpoint; Mathematical physics; Applied mathematics; Geometry; Mathematical optimization","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":[0.00381562,0.0002114745,0.0003688502,0.0002171996,0.001112799,0.0007005354,0.0002561651,0.00007916058,0.00006562551],"category_scores_gemma":[0.001836277,0.0001757219,0.0001518591,0.0005791034,0.0002544931,0.0002307925,0.0001460473,0.0004984875,0.00001442768],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00008878778,"about_ca_system_score_gemma":0.00005313424,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001019657,"about_ca_topic_score_gemma":0.00002246013,"domain_scores_codex":[0.9968997,0.001023449,0.0006400502,0.0004172043,0.0005977136,0.0004218367],"domain_scores_gemma":[0.9952237,0.003554198,0.0004879923,0.0003014611,0.000257813,0.0001748201],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0001916941,0.001968445,0.007867507,0.0003817168,0.0003087302,0.00008811888,0.002910175,0.002975291,0.05539143,0.6506351,0.006446643,0.2708351],"study_design_scores_gemma":[0.0007988614,0.0001455547,0.003082401,0.0002004886,0.00008314845,0.0001959895,0.0001239143,0.2097918,0.00698551,0.7702862,0.007955926,0.0003501931],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.1804121,0.00007003907,0.8167559,0.0007421012,0.001080887,0.000200076,0.000003206491,0.00008561037,0.000650099],"genre_scores_gemma":[0.3725928,6.023297e-7,0.626723,0.0001067452,0.0002215247,0.000001682843,0.00000319129,0.00002321388,0.0003273051],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.270485,"threshold_uncertainty_score":0.8558862,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.159771112184773,"score_gpt":0.4412748474291445,"score_spread":0.2815037352443716,"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."}}