{"id":"W2063604850","doi":"10.1007/s10915-004-4634-6","title":"On Symplectic and Multisymplectic Schemes for the KdV Equation","year":2005,"lang":"en","type":"article","venue":"Journal of Scientific Computing","topic":"Numerical methods for differential equations","field":"Mathematics","cited_by":92,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Symplectic geometry; Mathematics; Korteweg–de Vries equation; Nonlinear system; Scheme (mathematics); Partial differential equation; Applied mathematics; Space (punctuation); Order (exchange); Symplectic integrator; Mathematical analysis; Symplectic manifold; Computer science","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":[0.002370243,0.0008898434,0.001119631,0.001668619,0.001558767,0.002045184,0.00149859,0.001843533,0.005058498],"category_scores_gemma":[0.00884058,0.0004943351,0.0008047958,0.001262109,0.003745561,0.004378481,0.005340538,0.002683671,0.0005808671],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001433861,"about_ca_system_score_gemma":0.001275997,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002568337,"about_ca_topic_score_gemma":0.00303323,"domain_scores_codex":[0.9992374,0.0003380257,0.00005319699,0.00005688565,0.0002353361,0.00007911654],"domain_scores_gemma":[0.9977254,0.0008950933,0.0002603309,0.0003841296,0.0004227436,0.0003122517],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00007734453,0.00004172066,0.0002852221,0.00005678747,0.0000126293,0.00006323191,0.0002661447,0.0211477,0.0007842008,0.9648625,0.001063616,0.01133892],"study_design_scores_gemma":[0.00004982217,0.00004934528,0.0002245392,0.00004076606,0.000007330074,0.00005200962,0.00008880245,0.2992073,0.0002414547,0.6963329,0.003678649,0.00002711532],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1985251,0.004773288,0.7397944,0.004243208,0.001296833,0.0002231277,0.0001968135,0.0001930906,0.05075409],"genre_scores_gemma":[0.7978581,0.003029364,0.1665133,0.0007059622,0.0005767319,0.0002403988,0.0003093123,0.0003223833,0.03044442],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.005058498,"threshold_uncertainty_score":0.01692235,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1504685339449133,"score_gpt":0.4069916525921563,"score_spread":0.256523118647243,"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."}}