{"id":"W2091196392","doi":"10.1155/2009/696253","title":"Improving Accuracy of Coarse Grid Numerical Solution of Solid‐Solid Reactions by Taylor Series Expansion of the Reaction Term","year":2009,"lang":"en","type":"article","venue":"Mathematical Problems in Engineering","topic":"Solidification and crystal growth phenomena","field":"Materials Science","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Calgary","funders":"Alberta Ingenuity","keywords":"Taylor series; Exothermic reaction; Series (stratigraphy); Scale (ratio); Term (time); Grid; Solid solution; Materials science; Mathematics; Geometry; Thermodynamics; Mathematical analysis; Physics; Geology; Metallurgy","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":[0.0008510274,0.0005915666,0.0006305685,0.000400487,0.0004551721,0.0007368806,0.0007484176,0.0007157319,0.00232836],"category_scores_gemma":[0.002507174,0.0002891294,0.0005670713,0.0003524218,0.0008678632,0.001040395,0.0007658807,0.00107561,0.0006403597],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006842238,"about_ca_system_score_gemma":0.001035518,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002609745,"about_ca_topic_score_gemma":0.002548665,"domain_scores_codex":[0.9997072,0.00006632268,0.00002413419,0.00002746932,0.0001491994,0.00002557123],"domain_scores_gemma":[0.9990975,0.0004867435,0.0000770711,0.0001679598,0.000149371,0.00002141649],"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":[0.00006143135,0.00009113864,0.001075258,0.0002145866,0.00002589455,0.000180595,0.0001783899,0.799023,0.09247271,0.05011969,0.00131928,0.05523815],"study_design_scores_gemma":[0.000005956889,0.00001136166,0.00005312306,0.000003951204,0.000003282674,0.00001301259,0.000004886722,0.9892379,0.007722007,0.00208356,0.0008566738,0.000004287396],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.06436765,0.0003578761,0.9237365,0.0003481928,0.0001788649,0.00007591899,0.00005517896,0.0006729691,0.01020683],"genre_scores_gemma":[0.6154198,0.0006046718,0.3777342,0.00009549376,0.00007110666,0.0001226256,0.0001058777,0.0003329047,0.005513344],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.002609745,"threshold_uncertainty_score":0.007789135,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01391238012229066,"score_gpt":0.2443936637939808,"score_spread":0.2304812836716902,"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."}}