{"id":"W4408121242","doi":"10.33737/jgpps/193865","title":"Numerical stability analysis of solution methods for steady and harmonic balance equations","year":2025,"lang":"en","type":"article","venue":"Journal of the Global Power and Propulsion Society","topic":"Computational Fluid Dynamics and Aerodynamics","field":"Engineering","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Harmonic balance; Stability (learning theory); Balance (ability); Mathematics; Numerical analysis; Numerical stability; Mechanics; Applied mathematics; Mathematical analysis; Physics; Computer science; Nonlinear system; Medicine","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":false,"about_ca":true,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005433583,0.00006235712,0.0001992422,0.00001986399,0.00007576726,0.00001835109,0.0000762635,0.00004324272,0.000002332027],"category_scores_gemma":[0.00008199461,0.00004304031,0.0002515447,0.0004081994,0.00003925066,0.00005353288,0.00003586197,0.0000856547,1.776676e-8],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00009697342,"about_ca_system_score_gemma":0.00003132928,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000004845853,"about_ca_topic_score_gemma":0.000002107066,"domain_scores_codex":[0.999433,0.00004896132,0.0002831231,0.0000659381,0.00009487473,0.00007408424],"domain_scores_gemma":[0.9994791,0.0001709071,0.0000874228,0.00007373402,0.0001596322,0.00002920124],"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":[0.0004694645,0.0006561373,0.1895542,0.001228294,0.01275085,6.180665e-7,0.003211133,0.4669513,0.04569851,0.04723681,0.006035019,0.2262077],"study_design_scores_gemma":[0.0002057169,0.00002456223,0.06738046,0.00001817837,0.0003100503,0.000001149923,0.00005526371,0.9236587,0.00005602737,0.008073625,0.0001756116,0.00004065623],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2251868,0.001051605,0.7728616,0.0005018498,0.0002284897,0.00008171488,0.00004339311,0.000004867554,0.00003967238],"genre_scores_gemma":[0.9649864,0.0001079831,0.0348392,0.00004550255,0.00000804883,0.000001156119,0.000002397223,0.000002156204,0.000007122791],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.7397997,"threshold_uncertainty_score":0.1755133,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01222368237338085,"score_gpt":0.3146385667458283,"score_spread":0.3024148843724475,"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."}}