{"id":"https://openalex.org/W4322732133","doi":"https://doi.org/10.1007/s11075-022-01492-8","title":"Interpretation of parareal as a two-level additive Schwarz in time preconditioner and its acceleration with GMRES","display_name":"Interpretation of parareal as a two-level additive Schwarz in time preconditioner and its acceleration with GMRES","publication_year":2023,"publication_date":"2023-03-01","ids":{"openalex":"https://openalex.org/W4322732133","doi":"https://doi.org/10.1007/s11075-022-01492-8"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-022-01492-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-022-01492-8","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":true,"oa_status":"green","oa_url":"https://hal.sorbonne-universite.fr/hal-04038459/document","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5043900920","display_name":"Van-Thanh Nguyen","orcid":"https://orcid.org/0000-0001-6950-1047"},"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/I39804081","display_name":"Sorbonne Universit\u00e9","ror":"https://ror.org/02en5vm52","country_code":"FR","type":"education","lineage":["https://openalex.org/I39804081"]},{"id":"https://openalex.org/I4210158291","display_name":"Laboratoire Jacques-Louis Lions","ror":"https://ror.org/04xmteb38","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I204730241","https://openalex.org/I39804081","https://openalex.org/I4210141950","https://openalex.org/I4210158291"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Van-Thanh Nguyen","raw_affiliation_strings":["CNRS, Laboratoire Jacques-Louis Lions (LJLL), Sorbonne Universit\u00e9 and Universit\u00e9 de Paris, 4 Place Jussieu, Paris, 75005, France","Inria, Project-Team ALPINES, 2 Rue Simone IFF, Paris, 75012, France"],"raw_orcid":"https://orcid.org/0000-0001-6950-1047","affiliations":[{"raw_affiliation_string":"CNRS, Laboratoire Jacques-Louis Lions (LJLL), Sorbonne Universit\u00e9 and Universit\u00e9 de Paris, 4 Place Jussieu, Paris, 75005, France","institution_ids":["https://openalex.org/I39804081","https://openalex.org/I4210158291","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Inria, Project-Team ALPINES, 2 Rue Simone IFF, Paris, 75012, France","institution_ids":["https://openalex.org/I1326498283"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5040521001","display_name":"Laura Grigori","orcid":"https://orcid.org/0000-0002-5880-1076"},"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/I39804081","display_name":"Sorbonne Universit\u00e9","ror":"https://ror.org/02en5vm52","country_code":"FR","type":"education","lineage":["https://openalex.org/I39804081"]},{"id":"https://openalex.org/I4210158291","display_name":"Laboratoire Jacques-Louis Lions","ror":"https://ror.org/04xmteb38","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I204730241","https://openalex.org/I39804081","https://openalex.org/I4210141950","https://openalex.org/I4210158291"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Laura Grigori","raw_affiliation_strings":["CNRS, Laboratoire Jacques-Louis Lions (LJLL), Sorbonne Universit\u00e9 and Universit\u00e9 de Paris, 4 Place Jussieu, Paris, 75005, France","Inria, Project-Team ALPINES, 2 Rue Simone IFF, Paris, 75012, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CNRS, Laboratoire Jacques-Louis Lions (LJLL), Sorbonne Universit\u00e9 and Universit\u00e9 de Paris, 4 Place Jussieu, Paris, 75005, France","institution_ids":["https://openalex.org/I39804081","https://openalex.org/I4210158291","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Inria, Project-Team ALPINES, 2 Rue Simone IFF, Paris, 75012, France","institution_ids":["https://openalex.org/I1326498283"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5043900920"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I39804081","https://openalex.org/I4210158291"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.1929,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.49833344,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"94","issue":"1","first_page":"29","last_page":"72"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9997000098228455,"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"}},"topics":[{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9997000098228455,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9994999766349792,"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9987000226974487,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/preconditioner","display_name":"Preconditioner","score":0.9672726392745972},{"id":"https://openalex.org/keywords/generalized-minimal-residual-method","display_name":"Generalized minimal residual method","score":0.8790838122367859},{"id":"https://openalex.org/keywords/krylov-subspace","display_name":"Krylov subspace","score":0.8785841464996338},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.598731517791748},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.5558265447616577},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5418447256088257},{"id":"https://openalex.org/keywords/multigrid-method","display_name":"Multigrid method","score":0.49506011605262756},{"id":"https://openalex.org/keywords/domain-decomposition-methods","display_name":"Domain decomposition methods","score":0.49404245615005493},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4704928398132324},{"id":"https://openalex.org/keywords/schwarz-alternating-method","display_name":"Schwarz alternating method","score":0.44591665267944336},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.4118626117706299},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2556505799293518},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.1990537941455841},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.1723984181880951},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.10129958391189575},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09629753232002258},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.05894947052001953}],"concepts":[{"id":"https://openalex.org/C167431342","wikidata":"https://www.wikidata.org/wiki/Q1754327","display_name":"Preconditioner","level":3,"score":0.9672726392745972},{"id":"https://openalex.org/C155332342","wikidata":"https://www.wikidata.org/wiki/Q1432976","display_name":"Generalized minimal residual method","level":3,"score":0.8790838122367859},{"id":"https://openalex.org/C147060835","wikidata":"https://www.wikidata.org/wiki/Q1757151","display_name":"Krylov subspace","level":3,"score":0.8785841464996338},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.598731517791748},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.5558265447616577},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5418447256088257},{"id":"https://openalex.org/C137119250","wikidata":"https://www.wikidata.org/wiki/Q1413101","display_name":"Multigrid method","level":3,"score":0.49506011605262756},{"id":"https://openalex.org/C198880260","wikidata":"https://www.wikidata.org/wiki/Q5289813","display_name":"Domain decomposition methods","level":3,"score":0.49404245615005493},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4704928398132324},{"id":"https://openalex.org/C31278502","wikidata":"https://www.wikidata.org/wiki/Q7433186","display_name":"Schwarz alternating method","level":4,"score":0.44591665267944336},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.4118626117706299},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2556505799293518},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.1990537941455841},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.1723984181880951},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.10129958391189575},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09629753232002258},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.05894947052001953},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s11075-022-01492-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-022-01492-8","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"},{"id":"pmh:oai:HAL:hal-04038459v1","is_oa":true,"landing_page_url":"https://hal.sorbonne-universite.fr/hal-04038459","pdf_url":"https://hal.sorbonne-universite.fr/hal-04038459/document","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":"Numerical Algorithms, 2023, &#x27E8;10.1007/s11075-022-01492-8&#x27E9;","raw_type":"Journal articles"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-04038459v1","is_oa":true,"landing_page_url":"https://hal.sorbonne-universite.fr/hal-04038459","pdf_url":"https://hal.sorbonne-universite.fr/hal-04038459/document","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":"Numerical Algorithms, 2023, &#x27E8;10.1007/s11075-022-01492-8&#x27E9;","raw_type":"Journal articles"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4650025165","display_name":null,"funder_award_id":"ANR-15-CE23-0019","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":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4322732133.pdf"},"referenced_works_count":25,"referenced_works":["https://openalex.org/W1545281613","https://openalex.org/W1548589512","https://openalex.org/W1570706347","https://openalex.org/W1590473342","https://openalex.org/W1823531150","https://openalex.org/W1977424646","https://openalex.org/W2010980702","https://openalex.org/W2012630580","https://openalex.org/W2027491117","https://openalex.org/W2033504867","https://openalex.org/W2036673738","https://openalex.org/W2047951536","https://openalex.org/W2070884676","https://openalex.org/W2104126767","https://openalex.org/W2105970221","https://openalex.org/W2129600241","https://openalex.org/W2239099446","https://openalex.org/W2560927163","https://openalex.org/W2765729611","https://openalex.org/W2790006186","https://openalex.org/W2790360668","https://openalex.org/W2811245070","https://openalex.org/W2886862357","https://openalex.org/W2938257492","https://openalex.org/W2950756295"],"related_works":["https://openalex.org/W2471168230","https://openalex.org/W2042846224","https://openalex.org/W2113830538","https://openalex.org/W2942315554","https://openalex.org/W2358905935","https://openalex.org/W2127062440","https://openalex.org/W3157581606","https://openalex.org/W2382988560","https://openalex.org/W2024149451","https://openalex.org/W2300952376"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2026-05-07T13:39:58.223016","created_date":"2025-10-10T00:00:00"}
