{"id":"https://openalex.org/W2612062628","doi":"https://doi.org/10.1007/s00211-017-0897-3","title":"An analysis of Schwarz waveform relaxation domain decomposition methods for the imaginary-time linear Schr\u00f6dinger and Gross-Pitaevskii equations","display_name":"An analysis of Schwarz waveform relaxation domain decomposition methods for the imaginary-time linear Schr\u00f6dinger and Gross-Pitaevskii equations","publication_year":2017,"publication_date":"2017-07-07","ids":{"openalex":"https://openalex.org/W2612062628","doi":"https://doi.org/10.1007/s00211-017-0897-3","mag":"2612062628"},"language":"en","primary_location":{"id":"doi:10.1007/s00211-017-0897-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-017-0897-3","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-01244513","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5062182120","display_name":"Xavier Antoine","orcid":"https://orcid.org/0000-0002-6501-7757"},"institutions":[{"id":"https://openalex.org/I4210127166","display_name":"Centre Inria de l'Universit\u00e9 de Lorraine","ror":"https://ror.org/03fcjvn64","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1326498283","https://openalex.org/I4210127166"]},{"id":"https://openalex.org/I90183372","display_name":"Universit\u00e9 de Lorraine","ror":"https://ror.org/04vfs2w97","country_code":"FR","type":"education","lineage":["https://openalex.org/I90183372"]},{"id":"https://openalex.org/I3017839442","display_name":"Institut \u00c9lie Cartan de Lorraine","ror":"https://ror.org/04rvw8791","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I3017839442","https://openalex.org/I4210141950","https://openalex.org/I90183372"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"X. Antoine","raw_affiliation_strings":["Inria Nancy Grand-Est/IECL - SPHINX team, Inria, Villers-l\u00e8s-Nancy, France","Institut Elie Cartan de Lorraine, Universit\u00e9 de Lorraine, F-54506, Vandoeuvre-l\u00e8s-Nancy, France","SPHINX - Systems with physical heterogeneities : inverse problems, numerical simulation, control and stabilization (France)","IECL - Institut \u00c9lie Cartan de Lorraine (Universit\u00e9 de Lorraine, Boulevard des Aiguillettes BP 70239 54506 Vandoeuvre-les-Nancy Cedex\r\nIle du Saulcy - 57 045 Metz Cedex 01 - France)"],"affiliations":[{"raw_affiliation_string":"Inria Nancy Grand-Est/IECL - SPHINX team, Inria, Villers-l\u00e8s-Nancy, France","institution_ids":["https://openalex.org/I4210127166"]},{"raw_affiliation_string":"Institut Elie Cartan de Lorraine, Universit\u00e9 de Lorraine, F-54506, Vandoeuvre-l\u00e8s-Nancy, France","institution_ids":["https://openalex.org/I3017839442"]},{"raw_affiliation_string":"SPHINX - Systems with physical heterogeneities : inverse problems, numerical simulation, control and stabilization (France)","institution_ids":[]},{"raw_affiliation_string":"IECL - Institut \u00c9lie Cartan de Lorraine (Universit\u00e9 de Lorraine, Boulevard des Aiguillettes BP 70239 54506 Vandoeuvre-les-Nancy Cedex\r\nIle du Saulcy - 57 045 Metz Cedex 01 - France)","institution_ids":["https://openalex.org/I3017839442","https://openalex.org/I90183372"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5078194875","display_name":"Emmanuel Lorin","orcid":"https://orcid.org/0000-0001-8854-4739"},"institutions":[{"id":"https://openalex.org/I70931966","display_name":"Universit\u00e9 de Montr\u00e9al","ror":"https://ror.org/0161xgx34","country_code":"CA","type":"education","lineage":["https://openalex.org/I70931966"]},{"id":"https://openalex.org/I1319815248","display_name":"Statistics Canada","ror":"https://ror.org/05k71ja87","country_code":"CA","type":"government","lineage":["https://openalex.org/I1319815248"]},{"id":"https://openalex.org/I67031392","display_name":"Carleton University","ror":"https://ror.org/02qtvee93","country_code":"CA","type":"education","lineage":["https://openalex.org/I67031392"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"E. Lorin","raw_affiliation_strings":["Centre de Recherches Math\u00e9matiques, Universit\u00e9 de Montr\u00e9al, Montr\u00e9al, H3T 1J4, Canada","School of Mathematics and Statistics, Carleton University, Ottawa, K1S 5B6, Canada","School of Mathematics and Statistics [Ottawa] (1125 Colonel By Drive\r\nOttawa, ON Canada, K1S 5B6  - Canada)","CRM - Centre de Recherches Math\u00e9matiques [Montr\u00e9al] (Universit\u00e9 de Montr\u00e9al, Pavillon Andr\u00e9-Aisenstadt, 2920, Chemin de la tour, bur. 5357 Montr\u00e9al (Qu\u00e9bec) H3T 1J4 - Canada)"],"affiliations":[{"raw_affiliation_string":"Centre de Recherches Math\u00e9matiques, Universit\u00e9 de Montr\u00e9al, Montr\u00e9al, H3T 1J4, Canada","institution_ids":["https://openalex.org/I70931966"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Carleton University, Ottawa, K1S 5B6, Canada","institution_ids":["https://openalex.org/I67031392"]},{"raw_affiliation_string":"School of Mathematics and Statistics [Ottawa] (1125 Colonel By Drive\r\nOttawa, ON Canada, K1S 5B6  - Canada)","institution_ids":["https://openalex.org/I1319815248"]},{"raw_affiliation_string":"CRM - Centre de Recherches Math\u00e9matiques [Montr\u00e9al] (Universit\u00e9 de Montr\u00e9al, Pavillon Andr\u00e9-Aisenstadt, 2920, Chemin de la tour, bur. 5357 Montr\u00e9al (Qu\u00e9bec) H3T 1J4 - Canada)","institution_ids":["https://openalex.org/I70931966"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5062182120"],"corresponding_institution_ids":["https://openalex.org/I3017839442","https://openalex.org/I4210127166","https://openalex.org/I90183372"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":2.48,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.88856868,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"137","issue":"4","first_page":"923","last_page":"958"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","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/T11416","display_name":"Numerical methods for differential equations","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/T10425","display_name":"Cold Atom Physics and Bose-Einstein Condensates","score":0.996999979019165,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9940000176429749,"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":0.8016751408576965},{"id":"https://openalex.org/keywords/domain-decomposition-methods","display_name":"Domain decomposition methods","score":0.6476806998252869},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.6357812881469727},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.5735710859298706},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5345370769500732},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5291422009468079},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.5138771533966064},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.49271658062934875},{"id":"https://openalex.org/keywords/schwarz-alternating-method","display_name":"Schwarz alternating method","score":0.48758262395858765},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.4807050824165344},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4292583465576172},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.1475946605205536},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.09936743974685669}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8016751408576965},{"id":"https://openalex.org/C198880260","wikidata":"https://www.wikidata.org/wiki/Q5289813","display_name":"Domain decomposition methods","level":3,"score":0.6476806998252869},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6357812881469727},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.5735710859298706},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5345370769500732},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5291422009468079},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.5138771533966064},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.49271658062934875},{"id":"https://openalex.org/C31278502","wikidata":"https://www.wikidata.org/wiki/Q7433186","display_name":"Schwarz alternating method","level":4,"score":0.48758262395858765},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.4807050824165344},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4292583465576172},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.1475946605205536},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.09936743974685669},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","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},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"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/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s00211-017-0897-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-017-0897-3","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-01244513v1","is_oa":true,"landing_page_url":"https://hal.science/hal-01244513","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, 2017, 137 (4), pp.923-958. ⟨10.1007/s00211-017-0897-3⟩","raw_type":"Journal articles"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-01244513v1","is_oa":true,"landing_page_url":"https://hal.science/hal-01244513","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, 2017, 137 (4), pp.923-958. ⟨10.1007/s00211-017-0897-3⟩","raw_type":"Journal articles"},"sustainable_development_goals":[{"display_name":"Partnerships for the goals","id":"https://metadata.un.org/sdg/17","score":0.41999998688697815}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":54,"referenced_works":["https://openalex.org/W57644428","https://openalex.org/W322174869","https://openalex.org/W748580861","https://openalex.org/W1480366635","https://openalex.org/W1561611802","https://openalex.org/W1584097495","https://openalex.org/W1649252162","https://openalex.org/W1780245888","https://openalex.org/W1964126811","https://openalex.org/W1975740507","https://openalex.org/W1983430419","https://openalex.org/W1983530220","https://openalex.org/W1984138672","https://openalex.org/W1985448567","https://openalex.org/W1989233441","https://openalex.org/W1992126849","https://openalex.org/W2001819970","https://openalex.org/W2001972373","https://openalex.org/W2007510482","https://openalex.org/W2009837750","https://openalex.org/W2025377524","https://openalex.org/W2033028239","https://openalex.org/W2033287169","https://openalex.org/W2035603760","https://openalex.org/W2043581751","https://openalex.org/W2050338742","https://openalex.org/W2066939711","https://openalex.org/W2067352798","https://openalex.org/W2071438440","https://openalex.org/W2075696551","https://openalex.org/W2085565258","https://openalex.org/W2108533466","https://openalex.org/W2116323997","https://openalex.org/W2121791828","https://openalex.org/W2124060271","https://openalex.org/W2141613295","https://openalex.org/W2143106608","https://openalex.org/W2148427017","https://openalex.org/W2167697842","https://openalex.org/W2171622994","https://openalex.org/W2197034439","https://openalex.org/W2264565679","https://openalex.org/W2294874426","https://openalex.org/W2332100086","https://openalex.org/W2562972486","https://openalex.org/W2594650865","https://openalex.org/W2623429242","https://openalex.org/W3101835573","https://openalex.org/W3123992157","https://openalex.org/W3198386876","https://openalex.org/W4229703980","https://openalex.org/W4233987090","https://openalex.org/W4243223435","https://openalex.org/W6777370075"],"related_works":["https://openalex.org/W596860038","https://openalex.org/W2153233687","https://openalex.org/W2286395548","https://openalex.org/W4211094555","https://openalex.org/W132556536","https://openalex.org/W2504287632","https://openalex.org/W2061746173","https://openalex.org/W2940897047","https://openalex.org/W2005295558","https://openalex.org/W4288364146"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}