{"id":"W3027272122","doi":"10.3934/eect.2020054","title":"Uniform boundary observability with Legendre-Galerkin formulations of the 1-D wave equation","year":2020,"lang":"en","type":"article","venue":"Evolution equations and control theory","topic":"Stability and Controllability of Differential Equations","field":"Engineering","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université Laval","funders":"","keywords":"Mathematics; Observability; Discretization; Galerkin method; Mathematical analysis; Controllability; Convergence (economics); Boundary (topology); Boundary value problem; Applied mathematics; Finite element method; 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":[0.0003972741,0.0001596128,0.0002302982,0.00004514525,0.0003358232,0.00003789167,0.0001246718,0.00007969146,0.0001294067],"category_scores_gemma":[0.0003803929,0.0001209111,0.0001109524,0.0003510465,0.0002646888,0.000306106,0.00002417259,0.0001677014,0.000004843192],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00009346852,"about_ca_system_score_gemma":0.000109668,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002173043,"about_ca_topic_score_gemma":0.0001014676,"domain_scores_codex":[0.9987859,0.0001809218,0.0004038225,0.0001993511,0.0002462632,0.0001837666],"domain_scores_gemma":[0.9987679,0.0005414006,0.00009588822,0.0003207702,0.0001839541,0.00009005405],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.000197762,0.00008989425,0.004360778,0.000110979,0.0001701404,1.124784e-7,0.00161912,0.03420695,0.004105191,0.946093,0.00001403885,0.009032074],"study_design_scores_gemma":[0.001796656,0.0001280684,0.1028991,0.00002554966,0.0001914657,0.000001034228,0.0005906197,0.7496654,0.0001984546,0.1441043,0.000192648,0.0002067189],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1352104,0.0002881091,0.8606815,0.001625013,0.0000920463,0.0006693371,0.0001068645,0.0001262878,0.001200398],"genre_scores_gemma":[0.9991953,0.000004374076,0.0004860343,0.0001226775,0.00006157285,0.00007350218,0.00001943572,0.00001528093,0.00002185947],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.8639849,"threshold_uncertainty_score":0.4930612,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02060652796074648,"score_gpt":0.1868705001622229,"score_spread":0.1662639722014764,"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."}}