{"id":"W2066642965","doi":"10.1115/1.2993546","title":"The Efficient Iterative Solution of the P1 Equation","year":2008,"lang":"en","type":"article","venue":"Journal of Heat Transfer","topic":"Radiative Heat Transfer Studies","field":"Engineering","cited_by":7,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"Natural Resources Canada","keywords":"Multigrid method; Solver; Applied mathematics; Convergence (economics); Algebraic equation; Radiative transfer; Rate of convergence; Iterative method; Mathematics; Mathematical optimization; Computer science; Partial differential equation; Mathematical analysis; Physics; Nonlinear system; Key (lock)","routes":{"ca_aff":true,"ca_fund":true,"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":[0.0005089122,0.0005449145,0.0005703328,0.0002890724,0.0004486377,0.0007142067,0.001087218,0.0009403801,0.002392851],"category_scores_gemma":[0.002198754,0.0002320275,0.0005903699,0.000495351,0.0004820596,0.001039727,0.001166516,0.001168061,0.001055054],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003556366,"about_ca_system_score_gemma":0.001429543,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.004228892,"about_ca_topic_score_gemma":0.002073913,"domain_scores_codex":[0.9995266,0.00009210827,0.00001480108,0.00005387055,0.0002622612,0.00005037701],"domain_scores_gemma":[0.9994758,0.0002264084,0.00005986662,0.00007634694,0.0001436243,0.00001808035],"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":[0.00006166027,0.00007665713,0.001689496,0.0003439324,0.00003407052,0.000338475,0.0002860096,0.694877,0.02432029,0.1223916,0.008311004,0.1472698],"study_design_scores_gemma":[0.000006708496,0.00001466654,0.0001721042,0.00000732328,0.000003088762,0.00008420798,0.00001091225,0.9866398,0.004235386,0.004995352,0.003822554,0.000007888845],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.02603359,0.0003947334,0.9478356,0.0003825126,0.00009955516,0.00009056133,0.0001427515,0.000623076,0.02439767],"genre_scores_gemma":[0.4762031,0.001055772,0.4979972,0.0001937488,0.0001266483,0.000335339,0.0005010295,0.0004019783,0.02318513],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.004228892,"threshold_uncertainty_score":0.008408546,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02228218609423322,"score_gpt":0.2145160050329163,"score_spread":0.192233818938683,"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."}}