{"id":"https://openalex.org/W1989917862","doi":"https://doi.org/10.1090/s0025-5718-10-02368-9","title":"Semigroup stability of finite difference schemes for multidimensional hyperbolic initial-boundary value problems","display_name":"Semigroup stability of finite difference schemes for multidimensional hyperbolic initial-boundary value problems","publication_year":2010,"publication_date":"2010-04-23","ids":{"openalex":"https://openalex.org/W1989917862","doi":"https://doi.org/10.1090/s0025-5718-10-02368-9","mag":"1989917862"},"language":"en","primary_location":{"id":"doi:10.1090/s0025-5718-10-02368-9","is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0025-5718-10-02368-9","pdf_url":"https://www.ams.org/mcom/2011-80-273/S0025-5718-10-02368-9/S0025-5718-10-02368-9.pdf","source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://www.ams.org/mcom/2011-80-273/S0025-5718-10-02368-9/S0025-5718-10-02368-9.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5000288643","display_name":"Jean-Fran\u00e7ois Coulombel","orcid":null},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en sciences et technologies du num\u00e9rique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283"]},{"id":"https://openalex.org/I4210145948","display_name":"Laboratoire Paul Painlev\u00e9","ror":"https://ror.org/043n4fm24","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I2279609970","https://openalex.org/I4210141950","https://openalex.org/I4210145948"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Jean-Fran\u00e7ois Coulombel","raw_affiliation_strings":["CNRS, Universit\u00c3\u00a9 Lille 1 and Team Project SIMPAF of INRIA Lille - Nord Europe, Laboratoire Paul Painlev\u00c3\u00a9 (UMR CNRS 8524), B\u00c3\u00a2timent M2, Cit\u00c3\u00a9 Scientifique, 59655 Villeneuve d\u00e2\u0080\u0099Ascq Cedex, France","CNRS, Universit\u00e9 Lille 1 and Team Project SIMPAF of INRIA Lille - Nord Europe, Laboratoire Paul Painlev\u00e9 (UMR CNRS 8524), B\u00e2timent M2, Cit\u00e9 Scientifique, 59655 Villeneuve d\u2019Ascq Cedex, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CNRS, Universit\u00c3\u00a9 Lille 1 and Team Project SIMPAF of INRIA Lille - Nord Europe, Laboratoire Paul Painlev\u00c3\u00a9 (UMR CNRS 8524), B\u00c3\u00a2timent M2, Cit\u00c3\u00a9 Scientifique, 59655 Villeneuve d\u00e2\u0080\u0099Ascq Cedex, France","institution_ids":["https://openalex.org/I1326498283","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"CNRS, Universit\u00e9 Lille 1 and Team Project SIMPAF of INRIA Lille - Nord Europe, Laboratoire Paul Painlev\u00e9 (UMR CNRS 8524), B\u00e2timent M2, Cit\u00e9 Scientifique, 59655 Villeneuve d\u2019Ascq Cedex, France","institution_ids":["https://openalex.org/I1326498283","https://openalex.org/I4210145948","https://openalex.org/I1294671590"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5065138089","display_name":"Antoine Gloria","orcid":"https://orcid.org/0000-0001-7502-606X"},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en sciences et technologies du num\u00e9rique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283"]},{"id":"https://openalex.org/I4210138412","display_name":"Centre Inria de l'Universit\u00e9 de Lille","ror":"https://ror.org/04eej9726","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1326498283","https://openalex.org/I4210138412"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Antoine Gloria","raw_affiliation_strings":["Team Project SIMPAF of INRIA Lille - Nord Europe, Park Plazza, 40 avenue Halley, 59655 Villeneuve d\u00e2\u0080\u0099Ascq Cedex, France","Team Project SIMPAF of INRIA Lille - Nord Europe, Park Plazza, 40 avenue Halley, 59655 Villeneuve d\u2019Ascq Cedex, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Team Project SIMPAF of INRIA Lille - Nord Europe, Park Plazza, 40 avenue Halley, 59655 Villeneuve d\u00e2\u0080\u0099Ascq Cedex, France","institution_ids":["https://openalex.org/I4210138412","https://openalex.org/I1326498283"]},{"raw_affiliation_string":"Team Project SIMPAF of INRIA Lille - Nord Europe, Park Plazza, 40 avenue Halley, 59655 Villeneuve d\u2019Ascq Cedex, France","institution_ids":["https://openalex.org/I1326498283"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.39,"has_fulltext":true,"cited_by_count":14,"citation_normalized_percentile":{"value":0.53212871,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"80","issue":"273","first_page":"165","last_page":"203"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11654","display_name":"Advanced Mathematical Physics Problems","score":0.9976000189781189,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11654","display_name":"Advanced Mathematical Physics Problems","score":0.9976000189781189,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9969000220298767,"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/T12589","display_name":"Differential Equations and Boundary Problems","score":0.9932000041007996,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.9247965812683105},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.6533822417259216},{"id":"https://openalex.org/keywords/semigroup","display_name":"Semigroup","score":0.6154781579971313},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6116098761558533},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.5627301335334778},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.5169814825057983},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4610881209373474},{"id":"https://openalex.org/keywords/dirichlet-boundary-condition","display_name":"Dirichlet boundary condition","score":0.4587237536907196},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4551212787628174},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.4458398222923279},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.43545064330101013},{"id":"https://openalex.org/keywords/finite-difference","display_name":"Finite difference","score":0.42957356572151184}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9247965812683105},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6533822417259216},{"id":"https://openalex.org/C207405024","wikidata":"https://www.wikidata.org/wiki/Q207348","display_name":"Semigroup","level":2,"score":0.6154781579971313},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6116098761558533},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.5627301335334778},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5169814825057983},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4610881209373474},{"id":"https://openalex.org/C110167270","wikidata":"https://www.wikidata.org/wiki/Q1193699","display_name":"Dirichlet boundary condition","level":3,"score":0.4587237536907196},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4551212787628174},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4458398222923279},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.43545064330101013},{"id":"https://openalex.org/C181330731","wikidata":"https://www.wikidata.org/wiki/Q2068418","display_name":"Finite difference","level":2,"score":0.42957356572151184},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"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/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1090/s0025-5718-10-02368-9","is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0025-5718-10-02368-9","pdf_url":"https://www.ams.org/mcom/2011-80-273/S0025-5718-10-02368-9/S0025-5718-10-02368-9.pdf","source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.190.2785","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.190.2785","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.ams.org/journals/mcom/0000-000-00/S0025-5718-10-02368-9/S0025-5718-10-02368-9.pdf","raw_type":"text"},{"id":"pmh:oai:HAL:hal-00383891v1","is_oa":true,"landing_page_url":"https://hal.science/hal-00383891","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Mathematics of Computation, 2011, 80 (273), pp.165-203. &#x27E8;10.1090/S0025-5718-10-02368-9&#x27E9;","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:dipot.ulb.ac.be:2013/134985","is_oa":true,"landing_page_url":"https://dipot.ulb.ac.be/dspace/bitstream/2013/134985/4/doi_117508.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306401063","display_name":"D\u00e9p\u00f4t institutionnel de l'Universit\u00e9 libre de Bruxelles (Universit\u00e9 Libre de Bruxelles)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I132053463","host_organization_name":"Universit\u00e9 Libre de Bruxelles","host_organization_lineage":["https://openalex.org/I132053463"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Mathematics of computation, 80 (273","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:lilloa.univ-lille.fr:20.500.12210/122328","is_oa":true,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306402203","display_name":"LillOA (Universit\u00e9 de Lille (University Of Lille))","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210123514","host_organization_name":"Centre d'Etudes en Civilisations, Langues et Litt\u00e9ratures Etrang\u00e8res","host_organization_lineage":["https://openalex.org/I4210123514"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1090/s0025-5718-10-02368-9","is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0025-5718-10-02368-9","pdf_url":"https://www.ams.org/mcom/2011-80-273/S0025-5718-10-02368-9/S0025-5718-10-02368-9.pdf","source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.800000011920929,"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7"}],"awards":[{"id":"https://openalex.org/G4314997632","display_name":null,"funder_award_id":"ANR-08-JCJC-0132-01","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G5707643029","display_name":"Interaction d'ondes compressibles","funder_award_id":"ANR-08-JCJC-0132","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"}],"funders":[{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1989917862.pdf","grobid_xml":"https://content.openalex.org/works/W1989917862.grobid-xml"},"referenced_works_count":23,"referenced_works":["https://openalex.org/W562723088","https://openalex.org/W644348085","https://openalex.org/W1538356049","https://openalex.org/W1970613334","https://openalex.org/W1979606966","https://openalex.org/W1984654389","https://openalex.org/W2004993859","https://openalex.org/W2049648727","https://openalex.org/W2069627726","https://openalex.org/W2072073816","https://openalex.org/W2076765255","https://openalex.org/W2078638882","https://openalex.org/W2083008699","https://openalex.org/W2098113967","https://openalex.org/W2116239674","https://openalex.org/W2120618897","https://openalex.org/W2319779543","https://openalex.org/W2492935564","https://openalex.org/W4212946773","https://openalex.org/W4235763198","https://openalex.org/W6601390255","https://openalex.org/W6629284705","https://openalex.org/W6698315271"],"related_works":["https://openalex.org/W2364741597","https://openalex.org/W1492103595","https://openalex.org/W1864774435","https://openalex.org/W946352265","https://openalex.org/W3114093281","https://openalex.org/W4295736060","https://openalex.org/W4220931593","https://openalex.org/W2989780569","https://openalex.org/W2466288331","https://openalex.org/W2145321474"],"abstract_inverted_index":{"We":[0,73],"develop":[1],"a":[2,32,65],"simple":[3],"energy":[4],"method":[5],"for":[6,14,40,60,69],"proving":[7],"the":[8,52],"stability":[9,34,58,67],"of":[10],"finite":[11],"difference":[12],"schemes":[13,80],"multidimensional":[15],"hyperbolic":[16],"initial-boundary":[17],"value":[18],"problems.":[19],"In":[20],"particular,":[21],"we":[22],"extend":[23],"to":[24,29,47,77],"several":[25,78],"space":[26,83],"dimensions":[27],"and":[28,38],"variable":[30],"coefficients":[31],"crucial":[33],"result":[35],"by":[36],"Goldberg":[37],"Tadmor":[39],"Dirichlet":[41],"boundary":[42],"conditions.":[43],"This":[44],"allows":[45],"us":[46],"give":[48],"some":[49],"conditions":[50],"on":[51],"discretized":[53],"operator":[54],"that":[55,57],"ensure":[56],"estimates":[59],"zero":[61],"initial":[62,71],"data":[63],"imply":[64],"semigroup":[66],"estimate":[68],"general":[70],"data.":[72],"apply":[74],"this":[75],"criterion":[76],"numerical":[79],"in":[81],"two":[82],"dimensions.":[84]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-07-02T09:51:11.867554","created_date":"2025-10-10T00:00:00"}
