{"id":"W4323350592","doi":"10.1016/j.acha.2023.02.005","title":"Phase function methods for second order linear ordinary differential equations with turning points","year":2023,"lang":"en","type":"article","venue":"Applied and Computational Harmonic Analysis","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Linear differential equation; Ordinary differential equation; Exponential integrator; Oscillation (cell signaling); Mathematical analysis; Differential equation; Exponential function; Function (biology); Applied mathematics; Solver; Phase (matter); Differential algebraic equation; 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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001037961,0.0007164505,0.0006044112,0.001179604,0.0004998253,0.0007463692,0.001004002,0.001007139,0.003917655],"category_scores_gemma":[0.002280872,0.000342384,0.0006593117,0.0008407944,0.0007854525,0.0009453506,0.0009313081,0.001607803,0.001075469],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005655775,"about_ca_system_score_gemma":0.0007347637,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001522127,"about_ca_topic_score_gemma":0.001420364,"domain_scores_codex":[0.9997665,0.0001065214,0.000009797892,0.0000132157,0.00008249098,0.00002151081],"domain_scores_gemma":[0.9992585,0.0004973855,0.00005021989,0.00004542921,0.0001174937,0.00003100001],"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":[0.0000809366,0.0001383403,0.0009321526,0.000450944,0.00005956888,0.0002522597,0.0004205482,0.3237208,0.01346547,0.490379,0.003504714,0.1665954],"study_design_scores_gemma":[0.00001385264,0.00002320582,0.00007855819,0.00002071777,0.000004873601,0.00005216775,0.00003047829,0.9466137,0.001042514,0.04736208,0.004748123,0.000009673513],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.004637454,0.0004296046,0.9910843,0.0001191002,0.00005602868,0.00003533169,0.00001836051,0.0001683381,0.003451491],"genre_scores_gemma":[0.2392175,0.001807556,0.7418173,0.0002220091,0.000177356,0.0004280465,0.0001738825,0.0006331754,0.01552316],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.003917655,"threshold_uncertainty_score":0.01310587,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06028423214740982,"score_gpt":0.3801517213283235,"score_spread":0.3198674891809137,"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."}}