{"id":"https://openalex.org/W1610419104","doi":"https://doi.org/10.1023/a:1025512021335","title":"Contractivity and Analyticity in l p of Some Approximation of the Heat Equation","display_name":"Contractivity and Analyticity in l p of Some Approximation of the Heat Equation","publication_year":2003,"publication_date":"2003-08-01","ids":{"openalex":"https://openalex.org/W1610419104","doi":"https://doi.org/10.1023/a:1025512021335","mag":"1610419104"},"language":"en","primary_location":{"id":"doi:10.1023/a:1025512021335","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1025512021335","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"Numerical Algorithms","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/A5045416083","display_name":"Michel Crouzeix","orcid":null},"institutions":[{"id":"https://openalex.org/I4210161663","display_name":"Institut de recherche math\u00e9matique de Rennes","ror":"https://ror.org/05y76vp22","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I2800285241","https://openalex.org/I28221208","https://openalex.org/I3124938446","https://openalex.org/I4210117091","https://openalex.org/I4210141950","https://openalex.org/I4210146044","https://openalex.org/I4210161663","https://openalex.org/I4399657933","https://openalex.org/I56067802","https://openalex.org/I56067802"]},{"id":"https://openalex.org/I56067802","display_name":"Universit\u00e9 de Rennes","ror":"https://ror.org/015m7wh34","country_code":"FR","type":"education","lineage":["https://openalex.org/I56067802"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Michel Crouzeix","raw_affiliation_strings":["Institut de Recherche Math\u00e9matique de Rennes, Universit\u00e9 de Rennes 1, Campus de Beaulieu, Rennes, France","Institut de recherche math\u00e9matique de Rennes, Universit\u00e9 de Rennes 1, Campus de Beaulieu, Rennes, France"],"affiliations":[{"raw_affiliation_string":"Institut de Recherche Math\u00e9matique de Rennes, Universit\u00e9 de Rennes 1, Campus de Beaulieu, Rennes, France","institution_ids":["https://openalex.org/I4210161663","https://openalex.org/I56067802"]},{"raw_affiliation_string":"Institut de recherche math\u00e9matique de Rennes, Universit\u00e9 de Rennes 1, Campus de Beaulieu, Rennes, France","institution_ids":["https://openalex.org/I4210161663","https://openalex.org/I56067802"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5045416083"],"corresponding_institution_ids":["https://openalex.org/I4210161663","https://openalex.org/I56067802"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.08205882,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"33","issue":"1-4","first_page":"193","last_page":"201"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9987999796867371,"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"}},{"id":"https://openalex.org/T10514","display_name":"Numerical methods in engineering","score":0.9977999925613403,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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/mathematics","display_name":"Mathematics","score":0.90803062915802},{"id":"https://openalex.org/keywords/delaunay-triangulation","display_name":"Delaunay triangulation","score":0.7821106910705566},{"id":"https://openalex.org/keywords/resolvent","display_name":"Resolvent","score":0.7394490242004395},{"id":"https://openalex.org/keywords/triangulation","display_name":"Triangulation","score":0.6467404365539551},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.6121604442596436},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.5550457239151001},{"id":"https://openalex.org/keywords/smoothing","display_name":"Smoothing","score":0.5493039488792419},{"id":"https://openalex.org/keywords/piecewise-linear-function","display_name":"Piecewise linear function","score":0.49265533685684204},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.49039387702941895},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.450307697057724},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.44867560267448425},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.43530526757240295},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.430084228515625},{"id":"https://openalex.org/keywords/work","display_name":"Work (physics)","score":0.413570374250412},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.40572303533554077},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3467680811882019},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2581765651702881},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.17218202352523804},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.1406523585319519}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.90803062915802},{"id":"https://openalex.org/C68010082","wikidata":"https://www.wikidata.org/wiki/Q192445","display_name":"Delaunay triangulation","level":2,"score":0.7821106910705566},{"id":"https://openalex.org/C196267783","wikidata":"https://www.wikidata.org/wiki/Q4392490","display_name":"Resolvent","level":2,"score":0.7394490242004395},{"id":"https://openalex.org/C135981907","wikidata":"https://www.wikidata.org/wiki/Q188056","display_name":"Triangulation","level":2,"score":0.6467404365539551},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.6121604442596436},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.5550457239151001},{"id":"https://openalex.org/C3770464","wikidata":"https://www.wikidata.org/wiki/Q775963","display_name":"Smoothing","level":2,"score":0.5493039488792419},{"id":"https://openalex.org/C17095337","wikidata":"https://www.wikidata.org/wiki/Q2375229","display_name":"Piecewise linear function","level":2,"score":0.49265533685684204},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.49039387702941895},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.450307697057724},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.44867560267448425},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.43530526757240295},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.430084228515625},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.413570374250412},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.40572303533554077},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3467680811882019},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2581765651702881},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.17218202352523804},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.1406523585319519},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1023/a:1025512021335","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1025512021335","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"Numerical Algorithms","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities","score":0.6700000166893005}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W1977981719","https://openalex.org/W1984477528","https://openalex.org/W2007962250","https://openalex.org/W2011561250","https://openalex.org/W2013613158","https://openalex.org/W2040110431","https://openalex.org/W2082408762","https://openalex.org/W2082621526","https://openalex.org/W2090106683","https://openalex.org/W2151270526","https://openalex.org/W4229850676","https://openalex.org/W4242273588","https://openalex.org/W4246212225"],"related_works":["https://openalex.org/W2350866827","https://openalex.org/W2359979928","https://openalex.org/W2368353614","https://openalex.org/W2390369954","https://openalex.org/W1529719486","https://openalex.org/W4232052003","https://openalex.org/W2373917503","https://openalex.org/W2906423005","https://openalex.org/W2385297469","https://openalex.org/W2001914902"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2015,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2016-06-24T00:00:00"}