{"id":"W2024861657","doi":"10.1023/a:1024077930017","title":"Fourth-Order Symmetric DIRK Methods for Periodic Stiff Problems","year":2003,"lang":"en","type":"article","venue":"Numerical Algorithms","topic":"Numerical methods for differential equations","field":"Mathematics","cited_by":18,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"Universidad de Zaragoza; Ryerson University","keywords":"Mathematics; Symplectic geometry; Numerical analysis; Homogeneous; Ode; Applied mathematics; Mathematical analysis; Runge–Kutta methods; Dispersion (optics); Nonlinear system; Stability (learning theory); Numerical integration; Theory of computation; Combinatorics; Algorithm; Physics; Computer science","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaresearch","metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00160476,0.0004733829,0.0008904864,0.000291213,0.000372191,0.0001270724,0.0004054553,0.0002522584,0.0005963783],"category_scores_gemma":[0.01352232,0.0003972039,0.000424091,0.002126285,0.0001473668,0.0001627256,0.0000813783,0.0004382578,0.00008599916],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001524638,"about_ca_system_score_gemma":0.0001348572,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00003772039,"about_ca_topic_score_gemma":0.000001542457,"domain_scores_codex":[0.9960593,0.0009566268,0.000853969,0.0007628933,0.0004732713,0.0008939703],"domain_scores_gemma":[0.9936894,0.004519934,0.0003117736,0.0006741469,0.0003895131,0.0004152716],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"design_other","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00002254931,0.0008938619,0.0001204552,0.0001897105,0.0002093675,0.000002834508,0.0004103257,0.00004862088,0.001084648,0.09112094,0.0004041788,0.9054925],"study_design_scores_gemma":[0.001388799,0.0004836744,0.000174128,0.00003723824,0.0002886936,0.00003199215,0.0001070936,0.04087647,0.002309819,0.870379,0.08313122,0.0007918652],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.0004170408,0.0003264914,0.9943936,0.0003727384,0.0009544648,0.001346247,0.0000299741,0.0003263207,0.001833154],"genre_scores_gemma":[0.002136489,0.00001938166,0.9951712,0.0001399496,0.0001857742,0.0007432167,0.00001714284,0.0001362813,0.001450583],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.9047006,"threshold_uncertainty_score":0.999848,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.09974512545404286,"score_gpt":0.416837690776917,"score_spread":0.3170925653228742,"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."}}