{"id":"https://openalex.org/W4309593302","doi":"https://doi.org/10.1137/21m1433149","title":"Asynchronous Truncated Multigrid-Reduction-in-Time","display_name":"Asynchronous Truncated Multigrid-Reduction-in-Time","publication_year":2022,"publication_date":"2022-11-22","ids":{"openalex":"https://openalex.org/W4309593302","doi":"https://doi.org/10.1137/21m1433149"},"language":"en","primary_location":{"id":"doi:10.1137/21m1433149","is_oa":false,"landing_page_url":"https://doi.org/10.1137/21m1433149","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Scientific Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://www.osti.gov/biblio/2441352","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5022271457","display_name":"Jens Hahne","orcid":"https://orcid.org/0000-0002-7711-7894"},"institutions":[{"id":"https://openalex.org/I167360494","display_name":"University of Wuppertal","ror":"https://ror.org/00613ak93","country_code":"DE","type":"education","lineage":["https://openalex.org/I167360494"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Jens Hahne","raw_affiliation_strings":["University of Wuppertal"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Wuppertal","institution_ids":["https://openalex.org/I167360494"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5013739420","display_name":"Ben S. Southworth","orcid":"https://orcid.org/0000-0002-0283-4928"},"institutions":[{"id":"https://openalex.org/I1343871089","display_name":"Los Alamos National Laboratory","ror":"https://ror.org/01e41cf67","country_code":"US","type":"facility","lineage":["https://openalex.org/I1330989302","https://openalex.org/I1343871089","https://openalex.org/I198811213","https://openalex.org/I4210120050"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ben S. Southworth","raw_affiliation_strings":["Los Alamos National Laboratory"],"raw_orcid":"https://orcid.org/0000-0002-0283-4928","affiliations":[{"raw_affiliation_string":"Los Alamos National Laboratory","institution_ids":["https://openalex.org/I1343871089"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5032929879","display_name":"Stephanie Friedhoff","orcid":"https://orcid.org/0000-0001-5527-3354"},"institutions":[{"id":"https://openalex.org/I167360494","display_name":"University of Wuppertal","ror":"https://ror.org/00613ak93","country_code":"DE","type":"education","lineage":["https://openalex.org/I167360494"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Stephanie Friedhoff","raw_affiliation_strings":["University of Wuppertal"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Wuppertal","institution_ids":["https://openalex.org/I167360494"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3174,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.49947547,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"45","issue":"3","first_page":"S281","last_page":"S306"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9994000196456909,"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"}},"topics":[{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9994000196456909,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9994000196456909,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.995199978351593,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/multigrid-method","display_name":"Multigrid method","score":0.8800622820854187},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.6847988367080688},{"id":"https://openalex.org/keywords/asynchronous-communication","display_name":"Asynchronous communication","score":0.6318172812461853},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.6300729513168335},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.593781590461731},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.554313063621521},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.5429711937904358},{"id":"https://openalex.org/keywords/parallelism","display_name":"Parallelism (grammar)","score":0.5413925051689148},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5273027420043945},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5217695832252502},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4341520071029663},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.41496574878692627},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4129524827003479},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.39924538135528564},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.2616598606109619},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.24775665998458862},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08718398213386536},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08404874801635742}],"concepts":[{"id":"https://openalex.org/C137119250","wikidata":"https://www.wikidata.org/wiki/Q1413101","display_name":"Multigrid method","level":3,"score":0.8800622820854187},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.6847988367080688},{"id":"https://openalex.org/C151319957","wikidata":"https://www.wikidata.org/wiki/Q752739","display_name":"Asynchronous communication","level":2,"score":0.6318172812461853},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6300729513168335},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.593781590461731},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.554313063621521},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.5429711937904358},{"id":"https://openalex.org/C2781172179","wikidata":"https://www.wikidata.org/wiki/Q853109","display_name":"Parallelism (grammar)","level":2,"score":0.5413925051689148},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5273027420043945},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5217695832252502},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4341520071029663},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.41496574878692627},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4129524827003479},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.39924538135528564},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.2616598606109619},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.24775665998458862},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08718398213386536},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08404874801635742},{"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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/21m1433149","is_oa":false,"landing_page_url":"https://doi.org/10.1137/21m1433149","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Scientific Computing","raw_type":"journal-article"},{"id":"pmh:oai:osti.gov:2441352","is_oa":true,"landing_page_url":"https://www.osti.gov/servlets/purl/2441352","pdf_url":"https://www.osti.gov/biblio/2441352","source":{"id":"https://openalex.org/S4306402487","display_name":"OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I139351228","host_organization_name":"Office of Scientific and Technical Information","host_organization_lineage":["https://openalex.org/I139351228"],"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":null}],"best_oa_location":{"id":"pmh:oai:osti.gov:2441352","is_oa":true,"landing_page_url":"https://www.osti.gov/servlets/purl/2441352","pdf_url":"https://www.osti.gov/biblio/2441352","source":{"id":"https://openalex.org/S4306402487","display_name":"OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I139351228","host_organization_name":"Office of Scientific and Technical Information","host_organization_lineage":["https://openalex.org/I139351228"],"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":null},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4991950126","display_name":null,"funder_award_id":"05M18PXB","funder_id":"https://openalex.org/F4320321114","funder_display_name":"Bundesministerium f\u00fcr Bildung und Forschung"},{"id":"https://openalex.org/G6291563932","display_name":null,"funder_award_id":"LA-UR-21-26105","funder_id":"https://openalex.org/F4320338304","funder_display_name":"Los Alamos National Laboratory"},{"id":"https://openalex.org/G6995210142","display_name":null,"funder_award_id":"89233218CNA000001","funder_id":"https://openalex.org/F4320332369","funder_display_name":"National Nuclear Security Administration"},{"id":"https://openalex.org/G7500863821","display_name":null,"funder_award_id":"89233218CNA000001","funder_id":"https://openalex.org/F4320338304","funder_display_name":"Los Alamos National Laboratory"},{"id":"https://openalex.org/G8659807574","display_name":null,"funder_award_id":"89233218CNA000001","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"}],"funders":[{"id":"https://openalex.org/F4320306084","display_name":"U.S. Department of Energy","ror":"https://ror.org/01bj3aw27"},{"id":"https://openalex.org/F4320321114","display_name":"Bundesministerium f\u00fcr Bildung und Forschung","ror":"https://ror.org/04pz7b180"},{"id":"https://openalex.org/F4320332369","display_name":"National Nuclear Security Administration","ror":"https://ror.org/03sk1we31"},{"id":"https://openalex.org/F4320338304","display_name":"Los Alamos National Laboratory","ror":"https://ror.org/01e41cf67"}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4309593302.pdf"},"referenced_works_count":37,"referenced_works":["https://openalex.org/W211346643","https://openalex.org/W1590473342","https://openalex.org/W1964599708","https://openalex.org/W2005343090","https://openalex.org/W2006640177","https://openalex.org/W2012630580","https://openalex.org/W2027491117","https://openalex.org/W2044573900","https://openalex.org/W2083701778","https://openalex.org/W2107600764","https://openalex.org/W2107660510","https://openalex.org/W2112243098","https://openalex.org/W2112311198","https://openalex.org/W2140489561","https://openalex.org/W2151317657","https://openalex.org/W2207850197","https://openalex.org/W2461259506","https://openalex.org/W2612596484","https://openalex.org/W2656632282","https://openalex.org/W2765729611","https://openalex.org/W2784052415","https://openalex.org/W2789368382","https://openalex.org/W2790360668","https://openalex.org/W2792526294","https://openalex.org/W2795174362","https://openalex.org/W2914454439","https://openalex.org/W2964224480","https://openalex.org/W2976429224","https://openalex.org/W3088720812","https://openalex.org/W3092018310","https://openalex.org/W3096597467","https://openalex.org/W3099523125","https://openalex.org/W3099743199","https://openalex.org/W3104633552","https://openalex.org/W3124296747","https://openalex.org/W3155292471","https://openalex.org/W4206566500"],"related_works":["https://openalex.org/W2077078424","https://openalex.org/W2182328658","https://openalex.org/W1519938374","https://openalex.org/W84272617","https://openalex.org/W613282331","https://openalex.org/W2092341060","https://openalex.org/W2625595466","https://openalex.org/W2501988474","https://openalex.org/W207411050","https://openalex.org/W2381165205"],"abstract_inverted_index":{"In":[0,46],"this":[1],"paper,":[2],"we":[3,116],"present":[4],"the":[5,17,29,60,65,68,77,102,106,113,118,127,130,143],"new":[6,24,144],"\u201casynchronous":[7],"truncated":[8,72,122],"multigrid-reduction-in-time\u201d":[9],"(AT-MGRIT)":[10],"algorithm":[11,25,70,107,145],"for":[12],"introducing":[13],"time":[14,62,74,153],"parallelism":[15,111],"to":[16,39,48,154],"solution":[18],"of":[19,105,120,129,152],"discretized":[20],"time-dependent":[21],"problems.":[22],"The":[23],"is":[26,37],"based":[27],"on":[28,64,76,126],"multigrid-reduction-in-time":[30],"(MGRIT)":[31],"approach,":[32],"which,":[33],"in":[34,93,112,150],"certain":[35,83],"settings,":[36],"equivalent":[38],"another":[40],"common":[41],"multilevel":[42],"parallel-in-time":[43],"method,":[44],"Parareal.":[45],"contrast":[47],"Parareal":[49],"and":[50,134,136],"MGRIT":[51],"that":[52,142],"both":[53,132],"consider":[54],"a":[55],"global":[56],"temporal":[57,84],"grid":[58,81],"over":[59],"entire":[61],"interval":[63],"coarsest":[66,78],"level,":[67,79],"AT-MGRIT":[69],"uses":[71],"local":[73,87,123],"grids":[75,88,125],"each":[80,98],"covering":[82],"subintervals.":[85],"These":[86],"can":[89],"be":[90],"solved":[91],"completely":[92],"an":[94],"independent":[95],"way":[96],"from":[97],"other,":[99],"which":[100],"reduces":[101],"sequential":[103],"part":[104],"and,":[108],"thus,":[109],"increases":[110],"method.":[114],"Here,":[115],"study":[117],"effect":[119],"using":[121,138],"coarse":[124],"convergence":[128],"algorithm,":[131],"theoretically":[133],"numerically,":[135],"show,":[137],"challenging":[139],"nonlinear":[140],"problems,":[141],"consistently":[146],"outperforms":[147],"classical":[148],"Parareal/MGRIT":[149],"terms":[151],"solution.":[155]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}