{"id":"https://openalex.org/W2060499935","doi":"https://doi.org/10.1007/s00211-002-0442-9","title":"Uniform exponential long time decay for the space semi-discretization of a locally damped wave equation via an artificial numerical viscosity","display_name":"Uniform exponential long time decay for the space semi-discretization of a locally damped wave equation via an artificial numerical viscosity","publication_year":2003,"publication_date":"2003-09-01","ids":{"openalex":"https://openalex.org/W2060499935","doi":"https://doi.org/10.1007/s00211-002-0442-9","mag":"2060499935"},"language":"en","primary_location":{"id":"doi:10.1007/s00211-002-0442-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-002-0442-9","pdf_url":null,"source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerische Mathematik","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5114895227","display_name":"Louis Roder Tcheugou\ufffd T\ufffdbou","orcid":null},"institutions":[{"id":"https://openalex.org/I192455969","display_name":"York University","ror":"https://ror.org/05fq50484","country_code":"CA","type":"education","lineage":["https://openalex.org/I192455969"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Louis Roder Tcheugou\ufffd T\ufffdbou","raw_affiliation_strings":["Department of Mathematics and Statistics, York University, Canada ON M3J 1P3#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, York University, Canada ON M3J 1P3#TAB#","institution_ids":["https://openalex.org/I192455969"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5088702266","display_name":"Enrique Zuazua","orcid":"https://orcid.org/0000-0002-1377-0958"},"institutions":[{"id":"https://openalex.org/I121748325","display_name":"Universidad Complutense de Madrid","ror":"https://ror.org/02p0gd045","country_code":"ES","type":"education","lineage":["https://openalex.org/I121748325"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Enrique Zuazua","raw_affiliation_strings":["Departamento de Matem\u00e1tica Aplicada, Universidad Complutense de Madrid, 28040, Madrid, Spain","Departamento de Matem\u00e1tica Aplicada, Universidad Complutense de Madrid, Madrid, Spain 28040"],"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1tica Aplicada, Universidad Complutense de Madrid, 28040, Madrid, Spain","institution_ids":["https://openalex.org/I121748325"]},{"raw_affiliation_string":"Departamento de Matem\u00e1tica Aplicada, Universidad Complutense de Madrid, Madrid, Spain 28040","institution_ids":["https://openalex.org/I121748325"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5114895227"],"corresponding_institution_ids":["https://openalex.org/I192455969"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":5.7332,"has_fulltext":false,"cited_by_count":92,"citation_normalized_percentile":{"value":0.95289253,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"95","issue":"3","first_page":"563","last_page":"598"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9972000122070312,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.8503048419952393},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8234139680862427},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.7047309875488281},{"id":"https://openalex.org/keywords/wave-equation","display_name":"Wave equation","score":0.5454644560813904},{"id":"https://openalex.org/keywords/damped-wave","display_name":"Damped wave","score":0.5174887180328369},{"id":"https://openalex.org/keywords/exponential-decay","display_name":"Exponential decay","score":0.5014805793762207},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.49685361981391907},{"id":"https://openalex.org/keywords/viscosity-solution","display_name":"Viscosity solution","score":0.47051042318344116},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.46759647130966187},{"id":"https://openalex.org/keywords/viscosity","display_name":"Viscosity","score":0.43629974126815796},{"id":"https://openalex.org/keywords/uniform-convergence","display_name":"Uniform convergence","score":0.41095203161239624},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.18739727139472961}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.8503048419952393},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8234139680862427},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.7047309875488281},{"id":"https://openalex.org/C59696629","wikidata":"https://www.wikidata.org/wiki/Q193846","display_name":"Wave equation","level":2,"score":0.5454644560813904},{"id":"https://openalex.org/C66908091","wikidata":"https://www.wikidata.org/wiki/Q1127660","display_name":"Damped wave","level":3,"score":0.5174887180328369},{"id":"https://openalex.org/C180188523","wikidata":"https://www.wikidata.org/wiki/Q574576","display_name":"Exponential decay","level":2,"score":0.5014805793762207},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.49685361981391907},{"id":"https://openalex.org/C88731125","wikidata":"https://www.wikidata.org/wiki/Q7935676","display_name":"Viscosity solution","level":2,"score":0.47051042318344116},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.46759647130966187},{"id":"https://openalex.org/C127172972","wikidata":"https://www.wikidata.org/wiki/Q128709","display_name":"Viscosity","level":2,"score":0.43629974126815796},{"id":"https://openalex.org/C157709441","wikidata":"https://www.wikidata.org/wiki/Q1411887","display_name":"Uniform convergence","level":3,"score":0.41095203161239624},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.18739727139472961},{"id":"https://openalex.org/C185544564","wikidata":"https://www.wikidata.org/wiki/Q81197","display_name":"Nuclear physics","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C2776257435","wikidata":"https://www.wikidata.org/wiki/Q1576430","display_name":"Bandwidth (computing)","level":2,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00211-002-0442-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-002-0442-9","pdf_url":null,"source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerische Mathematik","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W73472638","https://openalex.org/W1496738390","https://openalex.org/W1589236075","https://openalex.org/W1967078031","https://openalex.org/W1971957583","https://openalex.org/W1976391307","https://openalex.org/W1995087362","https://openalex.org/W2003627868","https://openalex.org/W2006364252","https://openalex.org/W2011232312","https://openalex.org/W2031521898","https://openalex.org/W2040061577","https://openalex.org/W2073982936","https://openalex.org/W2074718504","https://openalex.org/W2081215390","https://openalex.org/W2087574051","https://openalex.org/W2093085022","https://openalex.org/W2094882580","https://openalex.org/W2324452751","https://openalex.org/W3091814460","https://openalex.org/W3194374079"],"related_works":["https://openalex.org/W3085935069","https://openalex.org/W2144189745","https://openalex.org/W3202824093","https://openalex.org/W2171514244","https://openalex.org/W2033234086","https://openalex.org/W4298181152","https://openalex.org/W2788962576","https://openalex.org/W1525504109","https://openalex.org/W2549230023","https://openalex.org/W2011232312"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":7},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":8},{"year":2012,"cited_by_count":8}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
