{"id":"https://openalex.org/W2908875472","doi":"https://doi.org/10.1137/17m115311x","title":"Schwarz Waveform Relaxation with Adaptive Pipelining","display_name":"Schwarz Waveform Relaxation with Adaptive Pipelining","publication_year":2019,"publication_date":"2019-01-01","ids":{"openalex":"https://openalex.org/W2908875472","doi":"https://doi.org/10.1137/17m115311x","mag":"2908875472"},"language":"en","primary_location":{"id":"doi:10.1137/17m115311x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/17m115311x","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5007796851","display_name":"F\u00e9lix Kwok","orcid":"https://orcid.org/0000-0002-8360-6328"},"institutions":[{"id":"https://openalex.org/I530967","display_name":"Toronto Metropolitan University","ror":"https://ror.org/05g13zd79","country_code":"CA","type":"education","lineage":["https://openalex.org/I530967"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Felix Kwok","raw_affiliation_strings":["Department of Mathematics"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics","institution_ids":["https://openalex.org/I530967"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5080529726","display_name":"Benjamin Ong","orcid":"https://orcid.org/0000-0002-2315-987X"},"institutions":[{"id":"https://openalex.org/I11957088","display_name":"Michigan Technological University","ror":"https://ror.org/0036rpn28","country_code":"US","type":"education","lineage":["https://openalex.org/I11957088"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Benjamin W. Ong","raw_affiliation_strings":["Michigan Technological Univ"],"raw_orcid":"https://orcid.org/0000-0002-2315-987X","affiliations":[{"raw_affiliation_string":"Michigan Technological Univ","institution_ids":["https://openalex.org/I11957088"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.2606,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.75926806,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"41","issue":"1","first_page":"A339","last_page":"A364"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9994999766349792,"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"}},"topics":[{"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.998199999332428,"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9980999827384949,"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/speedup","display_name":"Speedup","score":0.8485174179077148},{"id":"https://openalex.org/keywords/waveform","display_name":"Waveform","score":0.6232089400291443},{"id":"https://openalex.org/keywords/iterated-function","display_name":"Iterated function","score":0.6159030795097351},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.5643277764320374},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5293843150138855},{"id":"https://openalex.org/keywords/domain-decomposition-methods","display_name":"Domain decomposition methods","score":0.5010294914245605},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4359908699989319},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3874322772026062},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3849579691886902},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.271740198135376},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.17382153868675232},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.1517980396747589}],"concepts":[{"id":"https://openalex.org/C68339613","wikidata":"https://www.wikidata.org/wiki/Q1549489","display_name":"Speedup","level":2,"score":0.8485174179077148},{"id":"https://openalex.org/C197424946","wikidata":"https://www.wikidata.org/wiki/Q1165717","display_name":"Waveform","level":3,"score":0.6232089400291443},{"id":"https://openalex.org/C140479938","wikidata":"https://www.wikidata.org/wiki/Q5254619","display_name":"Iterated function","level":2,"score":0.6159030795097351},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.5643277764320374},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5293843150138855},{"id":"https://openalex.org/C198880260","wikidata":"https://www.wikidata.org/wiki/Q5289813","display_name":"Domain decomposition methods","level":3,"score":0.5010294914245605},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4359908699989319},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3874322772026062},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3849579691886902},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.271740198135376},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.17382153868675232},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.1517980396747589},{"id":"https://openalex.org/C554190296","wikidata":"https://www.wikidata.org/wiki/Q47528","display_name":"Radar","level":2,"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/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/17m115311x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/17m115311x","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:digitalcommons.mtu.edu:math-fp-1010","is_oa":false,"landing_page_url":"https://digitalcommons.mtu.edu/math-fp/9","pdf_url":null,"source":{"id":"https://openalex.org/S4377196391","display_name":"Digital Commons - Michigan Tech (Michigan Technological University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I11957088","host_organization_name":"Michigan Technological University","host_organization_lineage":["https://openalex.org/I11957088"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Department of Mathematical Sciences Publications","raw_type":"text"},{"id":"pmh:oai:repository.hkbu.edu.hk:hkbu_staff_publication-7935","is_oa":false,"landing_page_url":"https://repository.hkbu.edu.hk/hkbu_staff_publication/6911","pdf_url":null,"source":{"id":"https://openalex.org/S4377196872","display_name":"HKBU Institutional Repository (Hong Kong Baptist University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I141568987","host_organization_name":"Hong Kong Baptist University","host_organization_lineage":["https://openalex.org/I141568987"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"HKBU Staff Publication","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy","score":0.47999998927116394}],"awards":[],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321592","display_name":"Research Grants Council, University Grants Committee","ror":"https://ror.org/00djwmt25"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W207454351","https://openalex.org/W748580861","https://openalex.org/W1492326914","https://openalex.org/W1535819777","https://openalex.org/W1548589512","https://openalex.org/W1780245888","https://openalex.org/W1965273420","https://openalex.org/W1981130604","https://openalex.org/W1984480729","https://openalex.org/W1991531168","https://openalex.org/W1998789711","https://openalex.org/W2002861104","https://openalex.org/W2011233593","https://openalex.org/W2012630580","https://openalex.org/W2027491117","https://openalex.org/W2036597275","https://openalex.org/W2041146028","https://openalex.org/W2045496101","https://openalex.org/W2047496230","https://openalex.org/W2057983392","https://openalex.org/W2064643401","https://openalex.org/W2072706249","https://openalex.org/W2079901515","https://openalex.org/W2082383413","https://openalex.org/W2140779530","https://openalex.org/W2153118166","https://openalex.org/W2328262485","https://openalex.org/W2414547273","https://openalex.org/W2503042635","https://openalex.org/W2585516944","https://openalex.org/W2803516107","https://openalex.org/W2963604040","https://openalex.org/W2964075885","https://openalex.org/W3198386876"],"related_works":["https://openalex.org/W2058965144","https://openalex.org/W2164382479","https://openalex.org/W2146343568","https://openalex.org/W98480971","https://openalex.org/W2150291671","https://openalex.org/W2013643406","https://openalex.org/W2027972911","https://openalex.org/W2157978810","https://openalex.org/W2331939936","https://openalex.org/W2163370649"],"abstract_inverted_index":{"Schwarz":[0],"waveform":[1,91,137],"relaxation":[2,138],"(SWR)":[3],"methods":[4,22,34,52,143,177],"have":[5],"been":[6],"developed":[7],"to":[8,28,108,119,144,159],"solve":[9],"a":[10,98,168],"wide":[11],"range":[12],"of":[13,20,50,101,132,175],"diffusion-dominated":[14],"and":[15,45,87,111,115,147,167,173],"reaction-dominated":[16],"equations.":[17],"The":[18,48],"appeal":[19],"these":[21,136],"stems":[23],"primarily":[24],"from":[25],"their":[26],"ability":[27],"use":[29],"nonconforming":[30],"space-time":[31,85],"discretizations;":[32],"SWR":[33,51],"are":[35],"consequently":[36],"well-adapted":[37],"for":[38,129,178],"coupling":[39],"models":[40],"with":[41,139],"highly":[42],"varying":[43],"spatial":[44],"time":[46,67,112],"scales.":[47],"efficacy":[49,174],"is":[53,106,127],"questionable,":[54],"however,":[55],"since":[56],"in":[57],"each":[58],"iteration,":[59],"one":[60,79],"propagates":[61],"an":[62,74],"error":[63],"across":[64],"the":[65,81,90,124,148,160,164],"entire":[66],"interval.":[68],"In":[69],"this":[70],"manuscript,":[71],"we":[72],"introduce":[73],"adaptive":[75,140],"pipeline":[76],"approach":[77],"wherein":[78],"subdivides":[80],"computational":[82,102],"domain":[83],"into":[84],"blocks,":[86],"adaptively":[88],"selects":[89],"iterates":[92],"which":[93],"should":[94],"be":[95,117,153],"updated":[96],"given":[97],"fixed":[99],"number":[100],"workers.":[103],"Our":[104],"method":[105],"complementary":[107],"existing":[109],"space":[110],"parallel":[113],"methods,":[114],"can":[116,152],"used":[118],"obtain":[120],"additional":[121],"speedup":[122,150],"when":[123],"saturation":[125],"point":[126],"reached":[128],"other":[130],"types":[131],"parallelism.":[133],"We":[134],"analyze":[135],"pipelining":[141],"(WRAP)":[142],"show":[145],"convergence":[146],"theoretical":[149],"that":[151],"expected.":[154],"Numerical":[155],"experiments":[156],"on":[157],"solutions":[158],"linear":[161],"heat":[162],"equation,":[163,166],"advection-diffusion":[165],"reaction-diffusion":[169],"equation":[170],"illustrate":[171],"features":[172],"WRAP":[176],"various":[179],"transmission":[180],"conditions.":[181]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":3}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2019-01-25T00:00:00"}
