{"id":"W2113160817","doi":"10.1093/imanum/24.1.21","title":"Spectral inclusion and spectral exactness for PDEs on exterior domains","year":2004,"lang":"en","type":"article","venue":"IMA Journal of Numerical Analysis","topic":"Stability and Controllability of Differential Equations","field":"Engineering","cited_by":24,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Simon Fraser University; University of Leicester; Leverhulme Trust","keywords":"Mathematics; Inclusion (mineral); Spectral analysis; Volume (thermodynamics); Geology; Physics","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002167178,0.0001425622,0.0004820135,0.0002475532,0.00016962,0.0000544119,0.0001392074,0.00005348317,0.00009473143],"category_scores_gemma":[0.0001168271,0.0001158742,0.0004548514,0.0004672539,0.00006220984,0.000144955,0.00003325793,0.0001591304,0.000002022838],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001434761,"about_ca_system_score_gemma":0.00002320203,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00003047181,"about_ca_topic_score_gemma":0.00004767513,"domain_scores_codex":[0.9989387,0.00003120802,0.0004360805,0.0001329177,0.000256247,0.0002048338],"domain_scores_gemma":[0.9993486,0.0001928887,0.00009597203,0.0001307538,0.00008455355,0.0001472739],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"observational","study_design_scores_codex":[0.001610287,0.001928516,0.01006727,0.0002424119,0.007828233,0.00005496372,0.005399624,0.8101885,0.06271601,0.007059643,0.00007134325,0.09283319],"study_design_scores_gemma":[0.01509225,0.004448782,0.4862189,0.000212154,0.01015718,0.0001175708,0.001457598,0.2446975,0.0204901,0.2141277,0.001248552,0.001731705],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.688548,0.0001932697,0.3099165,0.001127168,0.00007193525,0.00006811599,0.000009877836,0.00001860881,0.00004662293],"genre_scores_gemma":[0.9949057,0.0000422627,0.004795989,0.00006440577,0.0001687136,0.000003762476,0.000002773529,0.00001112965,0.000005248241],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.565491,"threshold_uncertainty_score":0.4725214,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.009198019046245925,"score_gpt":0.2451948480658391,"score_spread":0.2359968290195932,"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."}}