{"id":"W2166493386","doi":"10.1002/num.20116","title":"From the fitting techniques to accurate schemes for the Liouville-Bratu-Gelfand problem","year":2005,"lang":"en","type":"article","venue":"Numerical Methods for Partial Differential Equations","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":50,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université de Moncton","funders":"","keywords":"Mathematics; Scheme (mathematics); Applied mathematics; Construct (python library); Mathematical optimization; Mathematical analysis; Computer science","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":[0.003156391,0.001028454,0.0007346643,0.001168075,0.0006991679,0.001689961,0.001636856,0.002154721,0.003853613],"category_scores_gemma":[0.01064811,0.0005908605,0.001090275,0.001090962,0.002583654,0.003862204,0.002805135,0.003855957,0.001383517],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001017034,"about_ca_system_score_gemma":0.001116093,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001202294,"about_ca_topic_score_gemma":0.0006757659,"domain_scores_codex":[0.9986149,0.0004875461,0.00006415028,0.00009834533,0.0006791921,0.00005588264],"domain_scores_gemma":[0.998144,0.0009102059,0.0001969741,0.0003389043,0.000306037,0.0001038543],"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":[0.00003336901,0.00002810095,0.0002428028,0.0001919253,0.00002036213,0.00004629458,0.00035224,0.0981722,0.003955285,0.8436185,0.002153231,0.05118579],"study_design_scores_gemma":[0.0000227101,0.00004619744,0.0001488061,0.00009743718,0.00001060966,0.00009486659,0.00005522075,0.5194287,0.002465904,0.4494228,0.02816603,0.00004068198],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.003427971,0.001270902,0.9885936,0.0007183951,0.0001566072,0.00003821077,0.00002334061,0.000133543,0.005637465],"genre_scores_gemma":[0.183231,0.005389612,0.7868176,0.0007888637,0.0004637269,0.0003524299,0.0001834855,0.0004408549,0.02233246],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.003853613,"threshold_uncertainty_score":0.01669282,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1364604763866837,"score_gpt":0.4672250717252667,"score_spread":0.330764595338583,"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."}}