{"id":"W2727273884","doi":"10.5539/jmr.v9n4p11","title":"Some Remarks on the Stability Condition of Numerical Scheme of the KdV-type Equation","year":2017,"lang":"en","type":"article","venue":"Journal of Mathematics Research","topic":"Numerical methods for differential equations","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"Simon Fraser University","funders":"","keywords":"Mathematics; Korteweg–de Vries equation; Stability (learning theory); Numerical stability; Scheme (mathematics); Numerical analysis; Von Neumann stability analysis; Fourier transform; Type (biology); Applied mathematics; Mathematical analysis; Computer simulation; Fourier series; Computer science; Nonlinear system","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaresearch"],"consensus_categories":[],"category_scores_codex":[0.01014244,0.0001273901,0.0004961287,0.0001435474,0.0004297424,0.0000719099,0.001270807,0.0001112241,0.0002549053],"category_scores_gemma":[0.04157667,0.00006548981,0.0002802766,0.000258448,0.000651537,0.0002043107,0.0002755484,0.0008912875,0.00000963502],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001248952,"about_ca_system_score_gemma":0.0002374253,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001067567,"about_ca_topic_score_gemma":0.000002477323,"domain_scores_codex":[0.9952706,0.001116461,0.001121845,0.0001204211,0.002119894,0.0002507593],"domain_scores_gemma":[0.9873944,0.007558179,0.001998496,0.001298977,0.001666704,0.00008326965],"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":[0.0001698652,0.00217696,0.0005805959,0.0008654491,0.0002412981,0.000001600257,0.00199407,0.00001219467,0.06282129,0.9272657,0.0008499317,0.003021018],"study_design_scores_gemma":[0.0003363724,0.0004182777,0.002236862,0.0004351088,0.00005040385,0.000005473774,0.0005609985,0.002931256,0.03879441,0.9541098,0.00005502713,0.00006594372],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9305733,0.00005104404,0.06307109,0.004051736,0.000371219,0.0006928775,0.00001563175,0.000006272695,0.001166772],"genre_scores_gemma":[0.910756,0.00003491055,0.08891981,0.0000113618,0.0001431962,0.000007106664,5.152313e-7,0.00002364206,0.0001034583],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.03143423,"threshold_uncertainty_score":0.9664965,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.4725800739608076,"score_gpt":0.5199593219309161,"score_spread":0.04737924797010851,"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."}}