{"id":"https://openalex.org/W1592576951","doi":"https://doi.org/10.1007/3-540-45262-1_46","title":"Acceleration by Parallel Computations of Solving High-Order Time-Accurate Difference Schemes for Singularly Perturbed Convection-Diffusion Problems","display_name":"Acceleration by Parallel Computations of Solving High-Order Time-Accurate Difference Schemes for Singularly Perturbed Convection-Diffusion Problems","publication_year":2001,"publication_date":"2001-01-01","ids":{"openalex":"https://openalex.org/W1592576951","doi":"https://doi.org/10.1007/3-540-45262-1_46","mag":"1592576951"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-45262-1_46","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-45262-1_46","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":true,"oa_status":"green","oa_url":"https://ir.cwi.nl/pub/10285/10285D.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5079897956","display_name":"Piet Hemker","orcid":"https://orcid.org/0000-0001-6757-0858"},"institutions":[{"id":"https://openalex.org/I1341640284","display_name":"Centrum Wiskunde & Informatica","ror":"https://ror.org/00x7ekv49","country_code":"NL","type":"facility","lineage":["https://openalex.org/I1341640284","https://openalex.org/I2800991832","https://openalex.org/I4405262988"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Pieter W. Hemker","raw_affiliation_strings":["CWI, Amsterdam, The Netherlands"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CWI, Amsterdam, The Netherlands","institution_ids":["https://openalex.org/I1341640284"]}]},{"author_position":"middle","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":"Grigorii I. Shishkin","raw_affiliation_strings":["Ural Branch of RAS, Institute of Mathematics and Mechanics, 620219, Ekaterinburg, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Ural Branch of RAS, Institute of Mathematics and Mechanics, 620219, Ekaterinburg, Russia","institution_ids":["https://openalex.org/I4210105350"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5041476378","display_name":"L. P. Shishkina","orcid":"https://orcid.org/0000-0002-8489-5432"},"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":"Lidia P. Shishkina","raw_affiliation_strings":["Ural Branch of RAS, Institute of Mathematics and Mechanics, 620219, Ekaterinburg, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Ural Branch of RAS, Institute of Mathematics and Mechanics, 620219, Ekaterinburg, Russia","institution_ids":["https://openalex.org/I4210105350"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":1.2241,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.82003396,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"393","last_page":"401"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":1.0,"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":1.0,"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":0.9545000195503235,"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":0.9538000226020813,"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/computation","display_name":"Computation","score":0.7946964502334595},{"id":"https://openalex.org/keywords/acceleration","display_name":"Acceleration","score":0.6843538284301758},{"id":"https://openalex.org/keywords/perturbation","display_name":"Perturbation (astronomy)","score":0.6796776056289673},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5922431349754333},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.5767070055007935},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5630556344985962},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.5596985220909119},{"id":"https://openalex.org/keywords/convection\u2013diffusion-equation","display_name":"Convection\u2013diffusion equation","score":0.5216408371925354},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.44496726989746094},{"id":"https://openalex.org/keywords/convection","display_name":"Convection","score":0.414481520652771},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3754575550556183},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3309693932533264},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3270811438560486},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.20168942213058472},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.13761934638023376},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09129396080970764},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.07307830452919006},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.05885034799575806}],"concepts":[{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.7946964502334595},{"id":"https://openalex.org/C117896860","wikidata":"https://www.wikidata.org/wiki/Q11376","display_name":"Acceleration","level":2,"score":0.6843538284301758},{"id":"https://openalex.org/C177918212","wikidata":"https://www.wikidata.org/wiki/Q803623","display_name":"Perturbation (astronomy)","level":2,"score":0.6796776056289673},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5922431349754333},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.5767070055007935},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5630556344985962},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.5596985220909119},{"id":"https://openalex.org/C17456955","wikidata":"https://www.wikidata.org/wiki/Q343279","display_name":"Convection\u2013diffusion equation","level":2,"score":0.5216408371925354},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.44496726989746094},{"id":"https://openalex.org/C10899652","wikidata":"https://www.wikidata.org/wiki/Q160329","display_name":"Convection","level":2,"score":0.414481520652771},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3754575550556183},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3309693932533264},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3270811438560486},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.20168942213058472},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.13761934638023376},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09129396080970764},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.07307830452919006},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.05885034799575806},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/3-540-45262-1_46","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-45262-1_46","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":"pmh:oai:cwi.nl:10285","is_oa":true,"landing_page_url":"https://ir.cwi.nl/pub/10285","pdf_url":"https://ir.cwi.nl/pub/10285/10285D.pdf","source":{"id":"https://openalex.org/S7407055335","display_name":"Centrum Wiskunde & Informatica (CWI), the national research institute for mathematics and computer science in the Netherlands","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":{"id":"pmh:oai:cwi.nl:10285","is_oa":true,"landing_page_url":"https://ir.cwi.nl/pub/10285","pdf_url":"https://ir.cwi.nl/pub/10285/10285D.pdf","source":{"id":"https://openalex.org/S7407055335","display_name":"Centrum Wiskunde & Informatica (CWI), the national research institute for mathematics and computer science in the Netherlands","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/conferenceObject"},"sustainable_development_goals":[{"display_name":"Climate action","score":0.5,"id":"https://metadata.un.org/sdg/13"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1592576951.pdf"},"referenced_works_count":9,"referenced_works":["https://openalex.org/W79873316","https://openalex.org/W1923958108","https://openalex.org/W1985967981","https://openalex.org/W2042858720","https://openalex.org/W2108081300","https://openalex.org/W2150534812","https://openalex.org/W2164859046","https://openalex.org/W2584417483","https://openalex.org/W4241946322"],"related_works":["https://openalex.org/W1989791859","https://openalex.org/W2390829436","https://openalex.org/W1971289376","https://openalex.org/W2565094479","https://openalex.org/W602859758","https://openalex.org/W2379101322","https://openalex.org/W2726447019","https://openalex.org/W2386371716","https://openalex.org/W4360765795","https://openalex.org/W2377863910"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-07-02T09:51:11.867554","created_date":"2025-10-10T00:00:00"}
