{"id":"W4406625245","doi":"10.1007/s10915-024-02785-x","title":"A Rigorous Integrator and Global Existence for Higher-Dimensional Semilinear Parabolic PDEs via Semigroup Theory","year":2025,"lang":"en","type":"article","venue":"Journal of Scientific Computing","topic":"Advanced Mathematical Modeling in Engineering","field":"Computer Science","cited_by":5,"is_retracted":false,"has_abstract":true,"ca_institutions":"McGill University","funders":"Japan Society for the Promotion of Science; Japan Science and Technology Corporation","keywords":"Mathematics; Semigroup; Integrator; Parabolic partial differential equation; Mathematical analysis; Applied mathematics; Partial differential equation","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":[0.001340047,0.0004728321,0.0004830113,0.0008192012,0.0004168929,0.0008226168,0.0006914317,0.0005526087,0.00229032],"category_scores_gemma":[0.002067957,0.0002328828,0.0007427541,0.0002372649,0.001818294,0.0009978272,0.001768031,0.001092415,0.0003296539],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0004124913,"about_ca_system_score_gemma":0.0006530617,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003128866,"about_ca_topic_score_gemma":0.0002875356,"domain_scores_codex":[0.9997345,0.0001289062,0.00001212778,0.00002203804,0.00008185766,0.00002059875],"domain_scores_gemma":[0.9991361,0.0004196708,0.00009474715,0.00008304008,0.0001750055,0.00009153908],"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":[0.00003658706,0.0000502793,0.0007408076,0.00009532331,0.00002499084,0.0002639041,0.000337408,0.07106856,0.0207242,0.8985783,0.0004269341,0.007652649],"study_design_scores_gemma":[0.00002349065,0.00008343599,0.0001872421,0.00003195393,0.000008790124,0.0001066124,0.00006863002,0.8481907,0.005353673,0.1441911,0.00173844,0.00001594286],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.0563893,0.0001514006,0.9392166,0.0001636534,0.00005448264,0.00003221593,0.00001669961,0.00009073745,0.003884977],"genre_scores_gemma":[0.7675711,0.0002216383,0.2250773,0.0000950347,0.00005487058,0.0001354405,0.00004516841,0.00008651474,0.006712832],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.00229032,"threshold_uncertainty_score":0.007661819,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01403877638163882,"score_gpt":0.2815593425191788,"score_spread":0.26752056613754,"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."}}