{"id":"https://openalex.org/W2293922163","doi":"https://doi.org/10.1137/16m1060078","title":"Spectral Deferred Corrections with Fast-wave Slow-wave Splitting","display_name":"Spectral Deferred Corrections with Fast-wave Slow-wave Splitting","publication_year":2016,"publication_date":"2016-01-01","ids":{"openalex":"https://openalex.org/W2293922163","doi":"https://doi.org/10.1137/16m1060078","mag":"2293922163"},"language":"en","primary_location":{"id":"doi:10.1137/16m1060078","is_oa":false,"landing_page_url":"https://doi.org/10.1137/16m1060078","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":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1602.01626","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5045955358","display_name":"Daniel Ruprecht","orcid":"https://orcid.org/0000-0003-1904-2473"},"institutions":[{"id":"https://openalex.org/I130828816","display_name":"University of Leeds","ror":"https://ror.org/024mrxd33","country_code":"GB","type":"education","lineage":["https://openalex.org/I130828816"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Daniel Ruprecht","raw_affiliation_strings":["School of Mechanical Engineering, University of Leeds, Leeds LS2 9JT, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mechanical Engineering, University of Leeds, Leeds LS2 9JT, UK","institution_ids":["https://openalex.org/I130828816"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5050012491","display_name":"Robert Speck","orcid":"https://orcid.org/0000-0002-3879-1210"},"institutions":[{"id":"https://openalex.org/I171892758","display_name":"Forschungszentrum J\u00fclich","ror":"https://ror.org/02nv7yv05","country_code":"DE","type":"facility","lineage":["https://openalex.org/I1305996414","https://openalex.org/I171892758"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Robert Speck","raw_affiliation_strings":["J\u00fclich Supercomputing Centre, Forschungszentrum J\u00fclich GmbH, 52425 Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"J\u00fclich Supercomputing Centre, Forschungszentrum J\u00fclich GmbH, 52425 Germany","institution_ids":["https://openalex.org/I171892758"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":6.8186,"has_fulltext":false,"cited_by_count":35,"citation_normalized_percentile":{"value":0.97105644,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"38","issue":"4","first_page":"A2535","last_page":"A2557"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9993000030517578,"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":0.9993000030517578,"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/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9991999864578247,"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"}},{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9979000091552734,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7305876612663269},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5801564455032349},{"id":"https://openalex.org/keywords/lambda","display_name":"Lambda","score":0.5111718773841858},{"id":"https://openalex.org/keywords/dispersion-relation","display_name":"Dispersion relation","score":0.5073522925376892},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.46692559123039246},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.4592743515968323},{"id":"https://openalex.org/keywords/wavenumber","display_name":"Wavenumber","score":0.45422059297561646},{"id":"https://openalex.org/keywords/courant\u2013friedrichs\u2013lewy-condition","display_name":"Courant\u2013Friedrichs\u2013Lewy condition","score":0.44982829689979553},{"id":"https://openalex.org/keywords/runge\u2013kutta-methods","display_name":"Runge\u2013Kutta methods","score":0.4240444004535675},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.31870853900909424},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.22108566761016846},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1575849950313568},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.1474633514881134},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.1108836829662323}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7305876612663269},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5801564455032349},{"id":"https://openalex.org/C2778113609","wikidata":"https://www.wikidata.org/wiki/Q10897","display_name":"Lambda","level":2,"score":0.5111718773841858},{"id":"https://openalex.org/C202579712","wikidata":"https://www.wikidata.org/wiki/Q590051","display_name":"Dispersion relation","level":2,"score":0.5073522925376892},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.46692559123039246},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.4592743515968323},{"id":"https://openalex.org/C121130766","wikidata":"https://www.wikidata.org/wiki/Q192510","display_name":"Wavenumber","level":2,"score":0.45422059297561646},{"id":"https://openalex.org/C30295242","wikidata":"https://www.wikidata.org/wiki/Q1023483","display_name":"Courant\u2013Friedrichs\u2013Lewy condition","level":3,"score":0.44982829689979553},{"id":"https://openalex.org/C181582579","wikidata":"https://www.wikidata.org/wiki/Q725944","display_name":"Runge\u2013Kutta methods","level":3,"score":0.4240444004535675},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.31870853900909424},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.22108566761016846},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1575849950313568},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.1474633514881134},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.1108836829662323}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1137/16m1060078","is_oa":false,"landing_page_url":"https://doi.org/10.1137/16m1060078","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:eprints.whiterose.ac.uk:101093","is_oa":false,"landing_page_url":"http://eprints.whiterose.ac.uk/101093/8/RuprechtSPECTRAL%20DEFERRED%20CORRECTIONS%20WITH%20FAST-WAVE.pdf","pdf_url":"http://eprints.whiterose.ac.uk/101093/8/RuprechtSPECTRAL%20DEFERRED%20CORRECTIONS%20WITH%20FAST-WAVE.pdf","source":{"id":"https://openalex.org/S4306400854","display_name":"White Rose Research Online (University of Leeds, The University of Sheffield, University of York)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2800616092","host_organization_name":"White Rose University Consortium","host_organization_lineage":["https://openalex.org/I2800616092"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Article"},{"id":"pmh:oai:arXiv.org:1602.01626","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1602.01626","pdf_url":"https://arxiv.org/pdf/1602.01626","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},{"id":"pmh:oai:juser.fz-juelich.de:820610","is_oa":false,"landing_page_url":"https://juser.fz-juelich.de/record/820610","pdf_url":null,"source":{"id":"https://openalex.org/S4306401090","display_name":"JuSER (Forschungszentrum J\u00fclich)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I171892758","host_organization_name":"Forschungszentrum J\u00fclich","host_organization_lineage":["https://openalex.org/I171892758"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM journal on scientific computing 38(4), A2535 - A2557 (2016). doi:10.1137/16M1060078","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:tore.tuhh.de:11420/10521","is_oa":false,"landing_page_url":"http://hdl.handle.net/11420/10521","pdf_url":null,"source":{"id":"https://openalex.org/S4306401751","display_name":"tub.dok (Hamburg University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I884043246","host_organization_name":"Hamburg University of Technology","host_organization_lineage":["https://openalex.org/I884043246"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Journal Article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1602.01626","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1602.01626","pdf_url":"https://arxiv.org/pdf/1602.01626","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4751909915","display_name":null,"funder_award_id":"EP/L00030X/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W1439879655","https://openalex.org/W1479627982","https://openalex.org/W1966890000","https://openalex.org/W1970213140","https://openalex.org/W1973653230","https://openalex.org/W1976906776","https://openalex.org/W1991962363","https://openalex.org/W1996790573","https://openalex.org/W1996859646","https://openalex.org/W2010029887","https://openalex.org/W2011301426","https://openalex.org/W2012004405","https://openalex.org/W2018280830","https://openalex.org/W2019216685","https://openalex.org/W2029626973","https://openalex.org/W2041184575","https://openalex.org/W2049672178","https://openalex.org/W2050454880","https://openalex.org/W2053810476","https://openalex.org/W2054420328","https://openalex.org/W2058656490","https://openalex.org/W2065716012","https://openalex.org/W2091221965","https://openalex.org/W2096894484","https://openalex.org/W2098115791","https://openalex.org/W2100520965","https://openalex.org/W2112043279","https://openalex.org/W2113664582","https://openalex.org/W2119634195","https://openalex.org/W2128390309","https://openalex.org/W2130315193","https://openalex.org/W2139494815","https://openalex.org/W2141737416","https://openalex.org/W2150281143","https://openalex.org/W2159344399","https://openalex.org/W2161077841","https://openalex.org/W2174146619","https://openalex.org/W2199550988","https://openalex.org/W2324487000"],"related_works":["https://openalex.org/W3148450583","https://openalex.org/W2001088508","https://openalex.org/W1977973012","https://openalex.org/W4238008884","https://openalex.org/W1506249783","https://openalex.org/W4376130101","https://openalex.org/W2332152992","https://openalex.org/W1970871817","https://openalex.org/W1966176320","https://openalex.org/W1964985536"],"abstract_inverted_index":{"The":[0,113],"paper":[1],"investigates":[2],"a":[3,29],"variant":[4],"of":[5,71,78,169],"semi-implicit":[6],"spectral":[7],"deferred":[8],"corrections":[9],"(SISDC)":[10],"in":[11,68,167],"which":[12],"the":[13,58,69,75,79,95,108,141],"stiff,":[14],"fast":[15,19,73],"dynamics":[16,110],"correspond":[17],"to":[18,64,152,164],"propagating":[20],"waves":[21,74],"(``fast-wave":[22],"slow-wave":[23,60],"problem'').":[24],"We":[25],"show":[26,93],"that":[27,67,94],"for":[28,57,99,127,135,140],"scalar":[30],"test":[31],"problem":[32,138],"with":[33],"two":[34],"imaginary":[35],"eigenvalues":[36],"$i":[37,39],"\\lambda_{\\text{f}}$,":[38],"\\lambda_{\\text{s}}$,":[40],"having":[41],"$\\Delta":[42],"t":[43],"(":[44],"|":[45,47,49,51],"\\lambda_{\\text{f}}":[46],"+":[48],"\\lambda_{\\text{s}}":[50],")":[52],"<":[53],"1$":[54],"is":[55,82,97,124,133,150],"sufficient":[56],"fast-wave":[59,102],"SDC":[61],"(fwsw-SDC)":[62],"iteration":[63],"converge":[65],"and":[66,86,92,119,139,157,162,172],"limit":[70],"infinitely":[72],"convergence":[76],"rate":[77],"nonsplit":[80],"version":[81],"retained.":[83],"Stability":[84],"function":[85],"discrete":[87],"dispersion":[88],"relation":[89],"are":[90,111],"derived":[91],"method":[96,114],"stable":[98],"essentially":[100],"arbitrary":[101],"CFL":[103],"numbers":[104],"as":[105,107],"long":[106],"slow":[109],"resolved.":[112],"causes":[115],"little":[116],"numerical":[117],"diffusion":[118],"its":[120],"semidiscrete":[121],"phase":[122],"speed":[123],"accurate":[125],"also":[126],"large":[128],"wave":[129],"number":[130],"modes.":[131],"Performance":[132],"studied":[134],"an":[136],"acoustic-advection":[137],"linearised":[142],"Boussinesq":[143],"equations,":[144],"describing":[145],"compressible,":[146],"stratified":[147],"flow.":[148],"fwsw-SDC":[149],"compared":[151],"diagonally":[153],"implicit":[154],"Runge--Kutta":[155,160],"(DIRK)":[156],"implicit-explicit":[158],"(IMEX)":[159],"methods":[161],"found":[163],"be":[165],"competitive":[166],"terms":[168],"both":[170],"accuracy":[171],"cost.":[173]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-08-11T07:18:39.950985","created_date":"2025-10-10T00:00:00"}
