{"id":"W245940479","doi":"","title":"Stability-preserving finite-difference methods for general multi-dimensional autonomous dynamical systems","year":2007,"lang":"en","type":"article","venue":"International Journal of Numerical Analysis and Modeling","topic":"Mathematical and Theoretical Epidemiology and Ecology Models","field":"Medicine","cited_by":44,"is_retracted":false,"has_abstract":true,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Stability (learning theory); Dynamical systems theory; Mathematics; Set (abstract data type); Applied mathematics; Finite difference; Computer science; Mathematical analysis; Physics","routes":{"ca_aff":true,"ca_fund":false,"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":[0.001070342,0.0005776038,0.0005923931,0.0004266211,0.0004497328,0.0007032265,0.001077741,0.0007774638,0.0009767644],"category_scores_gemma":[0.002577957,0.0002708438,0.0007606619,0.0003316547,0.001275426,0.0007934977,0.001125174,0.0009635786,0.0001959534],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006496264,"about_ca_system_score_gemma":0.0007009268,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002998866,"about_ca_topic_score_gemma":0.001555539,"domain_scores_codex":[0.9997166,0.0001269557,0.00001828306,0.00003881909,0.00008480365,0.00001453807],"domain_scores_gemma":[0.9989582,0.0006589195,0.0001356207,0.00006241145,0.0001439921,0.00004086451],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00005729005,0.00004538703,0.0008234667,0.0002131574,0.0000407054,0.000138365,0.0002989823,0.7993038,0.008066809,0.1502421,0.0005230139,0.04024691],"study_design_scores_gemma":[0.000004935956,0.00001360136,0.00004754916,0.000005140699,0.000002344343,0.00001533018,0.000007709476,0.9861555,0.0004155878,0.01278867,0.0005383475,0.000005269804],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.01550032,0.0006665546,0.9814913,0.0001584301,0.00005584885,0.00003873853,0.00002596896,0.00006409175,0.001998718],"genre_scores_gemma":[0.6857662,0.001514244,0.3050287,0.0001193041,0.0001124099,0.0002963801,0.0001071996,0.00007842935,0.006977092],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.002998866,"threshold_uncertainty_score":0.005962789,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.08178416947256077,"score_gpt":0.4141858951703781,"score_spread":0.3324017256978173,"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."}}