{"id":"W2071803409","doi":"10.1016/j.cam.2009.06.017","title":"Direct numerical method for an inverse problem of a parabolic partial differential equation","year":2009,"lang":"en","type":"article","venue":"Journal of Computational and Applied Mathematics","topic":"Numerical methods in inverse problems","field":"Mathematics","cited_by":39,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Calgary","funders":"","keywords":"Mathematics; Parabolic partial differential equation; Partial differential equation; Inverse problem; FTCS scheme; Mathematical analysis; Elliptic partial differential equation; Uniqueness; Numerical analysis; First-order partial differential equation; Differential equation; Ordinary differential 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":[0.0008004954,0.0004952793,0.000888236,0.0007423703,0.0007119963,0.001030051,0.001147495,0.001910379,0.005482878],"category_scores_gemma":[0.002786254,0.0004067334,0.0008293782,0.0004004366,0.00119425,0.0008750307,0.001802342,0.001673875,0.0009057977],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0004313999,"about_ca_system_score_gemma":0.001230664,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003001782,"about_ca_topic_score_gemma":0.003350094,"domain_scores_codex":[0.9997063,0.00008046082,0.00001524006,0.00003083277,0.0001516112,0.00001553906],"domain_scores_gemma":[0.999157,0.0003756539,0.00004391046,0.00007997257,0.000291679,0.00005180478],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.0003663956,0.0004636337,0.002016598,0.00145207,0.0001769127,0.0008030851,0.0009216223,0.4578262,0.03964976,0.285944,0.007748658,0.202631],"study_design_scores_gemma":[0.00005629042,0.00006947255,0.00013931,0.00003557839,0.00002100471,0.0002043203,0.00004841933,0.9756753,0.001751688,0.01380159,0.008175982,0.00002099908],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.01429157,0.000710562,0.9700796,0.0004856127,0.0006652656,0.0001241636,0.00005082079,0.0001422955,0.01345016],"genre_scores_gemma":[0.3004844,0.00112685,0.6579732,0.0004847557,0.0003793751,0.0004941269,0.0001519071,0.0002559084,0.03864942],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.005482878,"threshold_uncertainty_score":0.01834208,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.09000577682677237,"score_gpt":0.3748687045855254,"score_spread":0.284862927758753,"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."}}