{"id":"W2955267159","doi":"10.3934/jcd.2020014","title":"On the development of symmetry-preserving finite element schemes for ordinary differential equations","year":2020,"lang":"en","type":"preprint","venue":"Journal of Computational Dynamics","topic":"Numerical methods for differential equations","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"Memorial University of Newfoundland","funders":"","keywords":"Homogeneous space; Equivariant map; Ordinary differential equation; Finite element method; Mathematics; Invariant (physics); Symmetry (geometry); Symmetry group; Mathematical analysis; Applied mathematics; Differential equation; Pure mathematics; Physics; Geometry; Mathematical 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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000849348,0.0003116095,0.0007138139,0.0002923459,0.0002094245,0.00007735429,0.0007983036,0.0001545373,0.00008901204],"category_scores_gemma":[0.006113044,0.0002329839,0.0005259197,0.000224839,0.00005660948,0.000063841,0.0005748809,0.0007496556,0.000002250426],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003116148,"about_ca_system_score_gemma":0.0006975969,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001420924,"about_ca_topic_score_gemma":0.000008344909,"domain_scores_codex":[0.9963615,0.0002761244,0.001862564,0.0002319799,0.00106077,0.0002070534],"domain_scores_gemma":[0.9835147,0.01255648,0.00245463,0.0002676501,0.001092871,0.0001136945],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0002247923,0.0006789863,0.00002087312,0.0007695152,0.001284936,0.00000164542,0.0006686373,0.1157472,0.00007004775,0.8643026,0.0004891661,0.01574158],"study_design_scores_gemma":[0.0003040705,0.0001122137,0.0001153964,0.000278293,0.0001603162,9.399988e-7,0.00006739452,0.4325261,0.00005870112,0.5661943,0.00006127193,0.0001210128],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.03650269,0.00002206694,0.9592586,0.002609913,0.0006702769,0.0006427643,0.0002161305,0.00001759661,0.00005996387],"genre_scores_gemma":[0.3790142,0.000002071966,0.6205208,0.00005549504,0.000155968,0.00003800657,0.0001516891,0.00003711825,0.00002461799],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.3425115,"threshold_uncertainty_score":0.9500808,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1226437665967761,"score_gpt":0.3839397603256487,"score_spread":0.2612959937288726,"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."}}