{"id":"https://openalex.org/W2150163004","doi":"https://doi.org/10.1007/s00211-013-0602-0","title":"Multi-revolution composition methods for highly oscillatory differential equations","display_name":"Multi-revolution composition methods for highly oscillatory differential equations","publication_year":2014,"publication_date":"2014-01-16","ids":{"openalex":"https://openalex.org/W2150163004","doi":"https://doi.org/10.1007/s00211-013-0602-0","mag":"2150163004"},"language":"en","primary_location":{"id":"doi:10.1007/s00211-013-0602-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-013-0602-0","pdf_url":null,"source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"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":"Numerische Mathematik","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hal.science/hal-00796581","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5110440632","display_name":"Philippe Chartier","orcid":null},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en informatique et en automatique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1326498283"]},{"id":"https://openalex.org/I4210146044","display_name":"\u00c9cole Normale Sup\u00e9rieure de Rennes","ror":"https://ror.org/03rxtdc22","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210146044","https://openalex.org/I56067802"]},{"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"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Philippe Chartier","raw_affiliation_strings":["INRIA Rennes, IRMAR and ENS Rennes, Campus de Beaulieu, 35170\u00a0, Bruz, France","IRMAR - Institut de Recherche Math\u00e9matique de Rennes (Campus de Beaulieu, b\u00e2timents 22 et 23, \r\n263 avenue du G\u00e9n\u00e9ral Leclerc, CS 74205\r\n35042  RENNES C\u00e9dex - France)","IPSO - Invariant Preserving SOlvers (France)"],"affiliations":[{"raw_affiliation_string":"INRIA Rennes, IRMAR and ENS Rennes, Campus de Beaulieu, 35170\u00a0, Bruz, France","institution_ids":["https://openalex.org/I4210146044","https://openalex.org/I1326498283","https://openalex.org/I4210161663"]},{"raw_affiliation_string":"IRMAR - Institut de Recherche Math\u00e9matique de Rennes (Campus de Beaulieu, b\u00e2timents 22 et 23, \r\n263 avenue du G\u00e9n\u00e9ral Leclerc, CS 74205\r\n35042  RENNES C\u00e9dex - France)","institution_ids":["https://openalex.org/I4210161663"]},{"raw_affiliation_string":"IPSO - Invariant Preserving SOlvers (France)","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5005856573","display_name":"Joseba Makazaga","orcid":"https://orcid.org/0000-0002-7453-4844"},"institutions":[{"id":"https://openalex.org/I169108374","display_name":"University of the Basque Country","ror":"https://ror.org/000xsnr85","country_code":"ES","type":"education","lineage":["https://openalex.org/I169108374"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Joseba Makazaga","raw_affiliation_strings":["Konputazio Zientziak eta A. A. Saila, Informatika Fakultatea, UPV/EHU, 20018\u00a0, Donostia, San Sebasti\u00e1n, Spain","Konputazio Zientziak eta A.A. Saila [Spain] (Universidad del Pais Vasco Konputazio Zientziak eta A.A. Saila Informatika Fakultatea, UPV/EHU 20018 Donostia-San Sebasti\u00e1n - Spain)"],"affiliations":[{"raw_affiliation_string":"Konputazio Zientziak eta A. A. Saila, Informatika Fakultatea, UPV/EHU, 20018\u00a0, Donostia, San Sebasti\u00e1n, Spain","institution_ids":[]},{"raw_affiliation_string":"Konputazio Zientziak eta A.A. Saila [Spain] (Universidad del Pais Vasco Konputazio Zientziak eta A.A. Saila Informatika Fakultatea, UPV/EHU 20018 Donostia-San Sebasti\u00e1n - Spain)","institution_ids":["https://openalex.org/I169108374"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5067129912","display_name":"Ander Murua","orcid":"https://orcid.org/0000-0002-3430-9642"},"institutions":[{"id":"https://openalex.org/I169108374","display_name":"University of the Basque Country","ror":"https://ror.org/000xsnr85","country_code":"ES","type":"education","lineage":["https://openalex.org/I169108374"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Ander Murua","raw_affiliation_strings":["Konputazio Zientziak eta A. A. Saila, Informatika Fakultatea, UPV/EHU, 20018\u00a0, Donostia, San Sebasti\u00e1n, Spain","Konputazio Zientziak eta A.A. Saila [Spain] (Universidad del Pais Vasco Konputazio Zientziak eta A.A. Saila Informatika Fakultatea, UPV/EHU 20018 Donostia-San Sebasti\u00e1n - Spain)"],"affiliations":[{"raw_affiliation_string":"Konputazio Zientziak eta A. A. Saila, Informatika Fakultatea, UPV/EHU, 20018\u00a0, Donostia, San Sebasti\u00e1n, Spain","institution_ids":[]},{"raw_affiliation_string":"Konputazio Zientziak eta A.A. Saila [Spain] (Universidad del Pais Vasco Konputazio Zientziak eta A.A. Saila Informatika Fakultatea, UPV/EHU 20018 Donostia-San Sebasti\u00e1n - Spain)","institution_ids":["https://openalex.org/I169108374"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5079619451","display_name":"Gilles Vilmart","orcid":"https://orcid.org/0000-0003-4593-1012"},"institutions":[{"id":"https://openalex.org/I4210146044","display_name":"\u00c9cole Normale Sup\u00e9rieure de Rennes","ror":"https://ror.org/03rxtdc22","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210146044","https://openalex.org/I56067802"]},{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en informatique et en automatique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1326498283"]},{"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/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Gilles Vilmart","raw_affiliation_strings":["\u00c9cole Normale Sup\u00e9rieure de Rennes, INRIA Rennes, IRMAR, CNRS, UEB, av. Robert Schuman, 35170\u00a0, Bruz, France","IPSO - Invariant Preserving SOlvers (France)","IRMAR - Institut de Recherche Math\u00e9matique de Rennes (Campus de Beaulieu, b\u00e2timents 22 et 23, \r\n263 avenue du G\u00e9n\u00e9ral Leclerc, CS 74205\r\n35042  RENNES C\u00e9dex - France)"],"affiliations":[{"raw_affiliation_string":"\u00c9cole Normale Sup\u00e9rieure de Rennes, INRIA Rennes, IRMAR, CNRS, UEB, av. Robert Schuman, 35170\u00a0, Bruz, France","institution_ids":["https://openalex.org/I1326498283","https://openalex.org/I4210146044","https://openalex.org/I1294671590","https://openalex.org/I4210161663"]},{"raw_affiliation_string":"IPSO - Invariant Preserving SOlvers (France)","institution_ids":[]},{"raw_affiliation_string":"IRMAR - Institut de Recherche Math\u00e9matique de Rennes (Campus de Beaulieu, b\u00e2timents 22 et 23, \r\n263 avenue du G\u00e9n\u00e9ral Leclerc, CS 74205\r\n35042  RENNES C\u00e9dex - France)","institution_ids":["https://openalex.org/I4210161663"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5110440632"],"corresponding_institution_ids":["https://openalex.org/I1326498283","https://openalex.org/I4210146044","https://openalex.org/I4210161663"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":2.953,"has_fulltext":false,"cited_by_count":25,"citation_normalized_percentile":{"value":0.90746206,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"128","issue":"1","first_page":"167","last_page":"192"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","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/T11416","display_name":"Numerical methods for differential equations","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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9995999932289124,"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/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"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":0.8059955835342407},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6450565457344055},{"id":"https://openalex.org/keywords/divergence","display_name":"Divergence (linguistics)","score":0.576596200466156},{"id":"https://openalex.org/keywords/composition","display_name":"Composition (language)","score":0.5475914478302002},{"id":"https://openalex.org/keywords/hamiltonian","display_name":"Hamiltonian (control theory)","score":0.5276602506637573},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.5128098130226135},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.49732092022895813},{"id":"https://openalex.org/keywords/hamiltonian-system","display_name":"Hamiltonian system","score":0.45472589135169983},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.45186665654182434},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4388354420661926},{"id":"https://openalex.org/keywords/numerical-integration","display_name":"Numerical integration","score":0.4171163737773895},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.1773376166820526},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06502583622932434}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8059955835342407},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6450565457344055},{"id":"https://openalex.org/C207390915","wikidata":"https://www.wikidata.org/wiki/Q1230525","display_name":"Divergence (linguistics)","level":2,"score":0.576596200466156},{"id":"https://openalex.org/C40231798","wikidata":"https://www.wikidata.org/wiki/Q1333743","display_name":"Composition (language)","level":2,"score":0.5475914478302002},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.5276602506637573},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.5128098130226135},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.49732092022895813},{"id":"https://openalex.org/C121770821","wikidata":"https://www.wikidata.org/wiki/Q2072471","display_name":"Hamiltonian system","level":2,"score":0.45472589135169983},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.45186665654182434},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4388354420661926},{"id":"https://openalex.org/C127349201","wikidata":"https://www.wikidata.org/wiki/Q753445","display_name":"Numerical integration","level":2,"score":0.4171163737773895},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.1773376166820526},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06502583622932434},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s00211-013-0602-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-013-0602-0","pdf_url":null,"source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"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":"Numerische Mathematik","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-00796581v2","is_oa":true,"landing_page_url":"https://hal.science/hal-00796581","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":"Numerische Mathematik, 2014, 128 (1), pp.167-192. ⟨10.1007/s00211-013-0602-0⟩","raw_type":"Journal articles"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-00796581v2","is_oa":true,"landing_page_url":"https://hal.science/hal-00796581","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":"Numerische Mathematik, 2014, 128 (1), pp.167-192. ⟨10.1007/s00211-013-0602-0⟩","raw_type":"Journal articles"},"sustainable_development_goals":[{"display_name":"Decent work and economic growth","score":0.4000000059604645,"id":"https://metadata.un.org/sdg/8"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W1390923","https://openalex.org/W1481616730","https://openalex.org/W1544770838","https://openalex.org/W1978434425","https://openalex.org/W1990157709","https://openalex.org/W2001032670","https://openalex.org/W2003419850","https://openalex.org/W2011911642","https://openalex.org/W2017507148","https://openalex.org/W2022384739","https://openalex.org/W2037721359","https://openalex.org/W2039264003","https://openalex.org/W2055048779","https://openalex.org/W2063925453","https://openalex.org/W2066869074","https://openalex.org/W2076773379","https://openalex.org/W2077716220","https://openalex.org/W2078103124","https://openalex.org/W2093063406","https://openalex.org/W2093181810","https://openalex.org/W2138940269","https://openalex.org/W2152547657","https://openalex.org/W2310212366","https://openalex.org/W2318896519","https://openalex.org/W2947056241","https://openalex.org/W2963761477","https://openalex.org/W3041070869","https://openalex.org/W4245463005"],"related_works":["https://openalex.org/W2263119459","https://openalex.org/W3131993578","https://openalex.org/W2005876858","https://openalex.org/W4234588361","https://openalex.org/W1970616601","https://openalex.org/W3080198597","https://openalex.org/W2374567876","https://openalex.org/W2288394291","https://openalex.org/W3036140763","https://openalex.org/W2033799224"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":4},{"year":2014,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}