{"id":"W2890665246","doi":"10.5539/jmr.v10n5p119","title":"Numerical Blow-up for A Heat Equation with Nonlinear Boundary Conditions","year":2018,"lang":"en","type":"article","venue":"Journal of Mathematics Research","topic":"Advanced Mathematical Modeling in Engineering","field":"Computer Science","cited_by":6,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Mathematical analysis; Ordinary differential equation; Heat equation; Work (physics); Nonlinear system; Boundary value problem; Space (punctuation); Zero (linguistics); Finite difference scheme; Differential equation","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001886877,0.0001057143,0.0002549868,0.0002794692,0.0002300164,0.0001753901,0.0006925169,0.0000520897,0.00002301399],"category_scores_gemma":[0.001205791,0.00007612223,0.00007451696,0.0004290997,0.0001663137,0.0004557778,0.00009302235,0.0003595458,0.00002991003],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001064102,"about_ca_system_score_gemma":0.0002357114,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":6.61342e-7,"about_ca_topic_score_gemma":4.183809e-7,"domain_scores_codex":[0.9980052,0.00004378981,0.0004826955,0.0001450508,0.0009671438,0.0003561486],"domain_scores_gemma":[0.9964087,0.001332952,0.0001195624,0.0003656941,0.001612704,0.0001603648],"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":[0.0002965301,0.003492667,0.00004424783,0.002823271,0.0005744763,0.0001408767,0.01651352,0.07258882,0.02346075,0.86,0.007635304,0.01242958],"study_design_scores_gemma":[0.0004342168,0.0007980891,0.000003360722,0.0002500683,0.000007964651,0.0001786406,0.000113197,0.8681574,0.002963561,0.1264094,0.0005971242,0.000086931],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.01582572,0.00003380345,0.9827676,0.0006570679,0.0001541248,0.0002357958,0.000002056271,0.00003184282,0.0002920112],"genre_scores_gemma":[0.1863302,0.000005367477,0.813255,0.00002350619,0.0002678917,0.00001677571,5.717261e-7,0.00002011304,0.00008067045],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.7955686,"threshold_uncertainty_score":0.3104174,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1180203102474931,"score_gpt":0.4116253917358621,"score_spread":0.2936050814883689,"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."}}