{"id":"W2014617375","doi":"10.1007/s11425-014-4805-3","title":"An h-p Petrov-Galerkin finite element method for linear Volterra integro-differential equations","year":2014,"lang":"en","type":"article","venue":"Science China Mathematics","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":16,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Manitoba","funders":"","keywords":"Mathematics; Finite element method; A priori and a posteriori; Galerkin method; Partition (number theory); Norm (philosophy); Applied mathematics; Mathematical analysis; Volterra integral equation; Numerical analysis; Integral equation; Combinatorics","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":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.004016168,0.0003343776,0.0005432401,0.0003430361,0.0006429223,0.000272807,0.001023968,0.00009609437,0.0003279145],"category_scores_gemma":[0.007950167,0.0002606367,0.0002101275,0.0007281755,0.0003106391,0.0004231827,0.0001575513,0.000232105,0.00003212033],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00009782449,"about_ca_system_score_gemma":0.0001248435,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001486494,"about_ca_topic_score_gemma":0.00001111908,"domain_scores_codex":[0.9969036,0.0002246384,0.0008075429,0.0005961652,0.0008241808,0.0006438936],"domain_scores_gemma":[0.9955424,0.002432625,0.000409212,0.001001436,0.0003116489,0.0003026704],"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":[0.00001162854,0.001000183,0.000008346752,0.0002355486,0.00002580751,2.263108e-7,0.002669345,0.0002644916,0.01855083,0.9452842,0.0001237512,0.03182567],"study_design_scores_gemma":[0.000293401,0.0002899868,0.00004520278,0.00004566327,0.00006766519,0.00000142243,0.0002006626,0.6033041,0.005328803,0.3899109,0.0003058918,0.0002062814],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.01569077,0.000003795784,0.9810518,0.0002139934,0.0005275821,0.0006981534,0.00003042615,0.0001742609,0.001609229],"genre_scores_gemma":[0.2960601,0.000001370344,0.7031655,0.00005044583,0.0002162875,0.0001226063,0.00001467328,0.00003933278,0.0003296929],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.6030397,"threshold_uncertainty_score":0.9999846,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.07564991365431896,"score_gpt":0.419912413956462,"score_spread":0.3442625003021431,"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."}}