{"id":"W4416669321","doi":"10.1002/cjce.70172","title":"Spectral solution of population balance equations using barycentric Lagrange polynomials: Application to stirred tank reactor hydrodynamics","year":2025,"lang":"en","type":"article","venue":"The Canadian Journal of Chemical Engineering","topic":"Fluid Dynamics and Mixing","field":"Engineering","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Barycentric coordinate system; Lagrange polynomial; Population balance equation; Interpolation (computer graphics); Population; Quadrature (astronomy); Nyström method; Polynomial; Spectral method","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001055608,0.000419373,0.0004794766,0.0003890946,0.000359213,0.0005483245,0.0006826073,0.0007259283,0.001132603],"category_scores_gemma":[0.001861147,0.0002245996,0.000474101,0.0004378331,0.0006202636,0.0005198338,0.0006979353,0.0007019473,0.000220769],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006559817,"about_ca_system_score_gemma":0.001057124,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00506842,"about_ca_topic_score_gemma":0.00312275,"domain_scores_codex":[0.9997485,0.0001120225,0.000008700426,0.00001847568,0.00008592714,0.00002639673],"domain_scores_gemma":[0.9992983,0.0004212341,0.00007245442,0.00003221438,0.0001449512,0.00003084512],"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":[0.00003598764,0.00004685962,0.0004425135,0.00005346904,0.00001209274,0.00007505404,0.00005898166,0.9548084,0.007398303,0.0243084,0.0002799457,0.01247994],"study_design_scores_gemma":[0.0000022472,0.000005214861,0.00001741689,0.000001059729,4.526709e-7,0.000002897654,0.000002629519,0.9989483,0.0003337444,0.0005697925,0.0001144903,0.000001803599],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.03190267,0.0001129214,0.9657195,0.0001174212,0.0000385757,0.00003408562,0.00002110213,0.0001030749,0.001950737],"genre_scores_gemma":[0.6983482,0.0002730488,0.2982023,0.00008653055,0.0000473568,0.0001223635,0.00006020004,0.0001021526,0.002757816],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.00506842,"threshold_uncertainty_score":0.01007783,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.006157803527067465,"score_gpt":0.1986046258756544,"score_spread":0.1924468223485869,"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."}}