{"id":"W4388976551","doi":"10.1007/s10915-023-02402-3","title":"Phase Function Methods for Second Order Inhomogeneous Linear Ordinary Differential Equations","year":2023,"lang":"en","type":"article","venue":"Journal of Scientific Computing","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Ordinary differential equation; Homogeneous differential equation; Mathematical analysis; Linear differential equation; Differential equation; Exponential integrator; Order of accuracy; Boundary value problem; Function (biology); Exact differential equation; Numerical partial differential equations; Applied mathematics; Differential algebraic equation","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":[0.001238673,0.0008240509,0.0009364456,0.001547617,0.000662419,0.001316241,0.001346748,0.001044498,0.003412372],"category_scores_gemma":[0.003492762,0.0004900918,0.0008271687,0.0009852537,0.001432115,0.002019293,0.001954673,0.00204122,0.0006375718],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007617656,"about_ca_system_score_gemma":0.0009137262,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002165742,"about_ca_topic_score_gemma":0.002375443,"domain_scores_codex":[0.9996682,0.000172159,0.00001461209,0.00002212954,0.0000870252,0.00003579066],"domain_scores_gemma":[0.9988927,0.0006060254,0.00007707295,0.00008987087,0.0002504519,0.00008389248],"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":[0.00005554297,0.00006147619,0.0003136978,0.0001350508,0.0000413326,0.00006475321,0.0001463248,0.06354721,0.002501053,0.9075193,0.00188862,0.02372555],"study_design_scores_gemma":[0.0000210115,0.00001784243,0.0001053763,0.00002112341,0.00001213287,0.00003579211,0.00003352377,0.7385653,0.0005325221,0.2566696,0.003970929,0.00001486817],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.01770514,0.0009812493,0.9702786,0.0005978935,0.0003273182,0.0000410723,0.00005956264,0.0001286146,0.009880512],"genre_scores_gemma":[0.5547901,0.00375388,0.3705202,0.0007508335,0.0008864289,0.0003886147,0.0003318933,0.001023103,0.06755485],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.003412372,"threshold_uncertainty_score":0.01141548,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1341159601052003,"score_gpt":0.4422011126159391,"score_spread":0.3080851525107388,"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."}}