{"id":"https://openalex.org/W1601276890","doi":"https://doi.org/10.1007/3-540-62598-4_84","title":"Splitting time methods and one dimensional special meshes for reaction-diffusion parabolic problems","display_name":"Splitting time methods and one dimensional special meshes for reaction-diffusion parabolic problems","publication_year":1997,"publication_date":"1997-01-01","ids":{"openalex":"https://openalex.org/W1601276890","doi":"https://doi.org/10.1007/3-540-62598-4_84","mag":"1601276890"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-62598-4_84","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-62598-4_84","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5019658590","display_name":"C. Clavero","orcid":"https://orcid.org/0000-0003-1263-1996"},"institutions":[{"id":"https://openalex.org/I255234318","display_name":"Universidad de Zaragoza","ror":"https://ror.org/012a91z28","country_code":"ES","type":"education","lineage":["https://openalex.org/I255234318"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"C. Clavero","raw_affiliation_strings":["Departamento de Matem\u00e1tica Aplicada, Universidad de Zaragoza, Zaragoza, Spain","Universidad de Zaragoza"],"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1tica Aplicada, Universidad de Zaragoza, Zaragoza, Spain","institution_ids":["https://openalex.org/I255234318"]},{"raw_affiliation_string":"Universidad de Zaragoza","institution_ids":["https://openalex.org/I255234318"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101912151","display_name":"J.C. Jorge","orcid":"https://orcid.org/0000-0001-5906-6125"},"institutions":[{"id":"https://openalex.org/I175051016","display_name":"Universidad Publica de Navarra","ror":"https://ror.org/02z0cah89","country_code":"ES","type":"education","lineage":["https://openalex.org/I175051016"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"J. C. Jorge","raw_affiliation_strings":["Departamento de Matem\u00e1tica e Inform\u00e1tica, Universidad P\u00fablica de Navarra, Pamplona, Spain","Universidad P\u00fablica de Navarra"],"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1tica e Inform\u00e1tica, Universidad P\u00fablica de Navarra, Pamplona, Spain","institution_ids":["https://openalex.org/I175051016"]},{"raw_affiliation_string":"Universidad P\u00fablica de Navarra","institution_ids":["https://openalex.org/I175051016"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5013865402","display_name":"F.J. Lisbona","orcid":null},"institutions":[{"id":"https://openalex.org/I255234318","display_name":"Universidad de Zaragoza","ror":"https://ror.org/012a91z28","country_code":"ES","type":"education","lineage":["https://openalex.org/I255234318"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"F. Lisbona","raw_affiliation_strings":["Departamento de Matem\u00e1tica Aplicada, Universidad de Zaragoza, Zaragoza, Spain","Universidad de Zaragoza"],"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1tica Aplicada, Universidad de Zaragoza, Zaragoza, Spain","institution_ids":["https://openalex.org/I255234318"]},{"raw_affiliation_string":"Universidad de Zaragoza","institution_ids":["https://openalex.org/I255234318"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5091103112","display_name":"G. I. Shishkin","orcid":"https://orcid.org/0000-0002-6886-8979"},"institutions":[{"id":"https://openalex.org/I4210105350","display_name":"N.N. Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of Sciences","ror":"https://ror.org/029fhmb28","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I4210105350","https://openalex.org/I4210124601"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"G. I. Shishkin","raw_affiliation_strings":["Institute of Mathematics and Mechanics, Ekaterinburg, Russia","Institute of Mathematics and Mechanics"],"affiliations":[{"raw_affiliation_string":"Institute of Mathematics and Mechanics, Ekaterinburg, Russia","institution_ids":["https://openalex.org/I4210105350"]},{"raw_affiliation_string":"Institute of Mathematics and Mechanics","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5019658590"],"corresponding_institution_ids":["https://openalex.org/I255234318"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":1.4843,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.83776596,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"1196","issue":null,"first_page":"106","last_page":"113"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9998999834060669,"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":0.9998999834060669,"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9991000294685364,"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/T11205","display_name":"Numerical methods in inverse problems","score":0.996399998664856,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/polygon-mesh","display_name":"Polygon mesh","score":0.8878133893013},{"id":"https://openalex.org/keywords/reaction\u2013diffusion-system","display_name":"Reaction\u2013diffusion system","score":0.6988539695739746},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.6650068163871765},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.6297301054000854},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5916547775268555},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5283145308494568},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.4717869460582733},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.4172791540622711},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.37259525060653687},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3460523188114166},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.32835572957992554},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.29116290807724},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0850992500782013}],"concepts":[{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.8878133893013},{"id":"https://openalex.org/C121231716","wikidata":"https://www.wikidata.org/wiki/Q901210","display_name":"Reaction\u2013diffusion system","level":2,"score":0.6988539695739746},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.6650068163871765},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.6297301054000854},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5916547775268555},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5283145308494568},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.4717869460582733},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.4172791540622711},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.37259525060653687},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3460523188114166},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.32835572957992554},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.29116290807724},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0850992500782013},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/3-540-62598-4_84","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-62598-4_84","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"mag:3163429567","is_oa":false,"landing_page_url":"https://jglobal.jst.go.jp/en/detail?JGLOBAL_ID=200902108005055455","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":"Lecture notes in computer science","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W1972424369","https://openalex.org/W1976549596","https://openalex.org/W2007012886","https://openalex.org/W2018032381","https://openalex.org/W2021426558","https://openalex.org/W2093726944","https://openalex.org/W3205746408"],"related_works":["https://openalex.org/W1557607869","https://openalex.org/W2366350639","https://openalex.org/W2087496541","https://openalex.org/W2028455732","https://openalex.org/W4313703117","https://openalex.org/W2085564391","https://openalex.org/W1984758362","https://openalex.org/W2042049060","https://openalex.org/W2992936613","https://openalex.org/W4226416379"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}