{"id":"https://openalex.org/W2929999591","doi":"https://doi.org/10.1137/19m1303290","title":"Implicit-Explicit Multistep Methods for Hyperbolic Systems With Multiscale Relaxation","display_name":"Implicit-Explicit Multistep Methods for Hyperbolic Systems With Multiscale Relaxation","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W2929999591","doi":"https://doi.org/10.1137/19m1303290","mag":"2929999591"},"language":"en","primary_location":{"id":"doi:10.1137/19m1303290","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m1303290","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","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1904.03865","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5047957691","display_name":"Giacomo Albi","orcid":"https://orcid.org/0000-0002-3518-7085"},"institutions":[{"id":"https://openalex.org/I119439378","display_name":"University of Verona","ror":"https://ror.org/039bp8j42","country_code":"IT","type":"education","lineage":["https://openalex.org/I119439378"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Giacomo Albi","raw_affiliation_strings":["University of Verona"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Verona","institution_ids":["https://openalex.org/I119439378"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035852692","display_name":"Giacomo Dimarco","orcid":"https://orcid.org/0000-0001-6186-3633"},"institutions":[{"id":"https://openalex.org/I201324441","display_name":"University of Ferrara","ror":"https://ror.org/041zkgm14","country_code":"IT","type":"education","lineage":["https://openalex.org/I201324441"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Giacomo Dimarco","raw_affiliation_strings":["University of Ferrara"],"raw_orcid":"https://orcid.org/0000-0001-6186-3633","affiliations":[{"raw_affiliation_string":"University of Ferrara","institution_ids":["https://openalex.org/I201324441"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5009401094","display_name":"Lorenzo Pareschi","orcid":"https://orcid.org/0000-0002-8706-6939"},"institutions":[{"id":"https://openalex.org/I201324441","display_name":"University of Ferrara","ror":"https://ror.org/041zkgm14","country_code":"IT","type":"education","lineage":["https://openalex.org/I201324441"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Lorenzo Pareschi","raw_affiliation_strings":["University of Ferrara"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Ferrara","institution_ids":["https://openalex.org/I201324441"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.5485,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.57135389,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"42","issue":"4","first_page":"A2402","last_page":"A2435"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9998999834060669,"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":0.9998999834060669,"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9986000061035156,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9980999827384949,"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":0.6220865249633789},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.6212539076805115},{"id":"https://openalex.org/keywords/integrator","display_name":"Integrator","score":0.5965754389762878},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.5805454850196838},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.5779627561569214},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.527310311794281},{"id":"https://openalex.org/keywords/spacetime","display_name":"Spacetime","score":0.5051186680793762},{"id":"https://openalex.org/keywords/hyperbolic-partial-differential-equation","display_name":"Hyperbolic partial differential equation","score":0.4787047207355499},{"id":"https://openalex.org/keywords/scaling","display_name":"Scaling","score":0.4465215802192688},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.4383869469165802},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.41401129961013794},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3226510286331177},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.23397871851921082},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.15595152974128723},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10685595870018005},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08742228150367737}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6220865249633789},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.6212539076805115},{"id":"https://openalex.org/C79518650","wikidata":"https://www.wikidata.org/wiki/Q2081431","display_name":"Integrator","level":3,"score":0.5965754389762878},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.5805454850196838},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.5779627561569214},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.527310311794281},{"id":"https://openalex.org/C130187892","wikidata":"https://www.wikidata.org/wiki/Q133327","display_name":"Spacetime","level":2,"score":0.5051186680793762},{"id":"https://openalex.org/C111615704","wikidata":"https://www.wikidata.org/wiki/Q2627459","display_name":"Hyperbolic partial differential equation","level":3,"score":0.4787047207355499},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.4465215802192688},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.4383869469165802},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.41401129961013794},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3226510286331177},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.23397871851921082},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.15595152974128723},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10685595870018005},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08742228150367737},{"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/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C2776257435","wikidata":"https://www.wikidata.org/wiki/Q1576430","display_name":"Bandwidth (computing)","level":2,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1137/19m1303290","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m1303290","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:arXiv.org:1904.03865","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1904.03865","pdf_url":"https://arxiv.org/pdf/1904.03865","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":"mag:2929999591","is_oa":true,"landing_page_url":"http://export.arxiv.org/pdf/1904.03865","pdf_url":null,"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":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1904.03865","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1904.03865","pdf_url":null,"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1904.03865","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1904.03865","pdf_url":"https://arxiv.org/pdf/1904.03865","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/G4217649646","display_name":null,"funder_award_id":"2017KKJP4X","funder_id":"https://openalex.org/F4320311030","funder_display_name":"Istituto Nazionale di Alta Matematica \"Francesco Severi\""}],"funders":[{"id":"https://openalex.org/F4320311030","display_name":"Istituto Nazionale di Alta Matematica \"Francesco Severi\"","ror":"https://ror.org/01vx64p53"},{"id":"https://openalex.org/F4320321873","display_name":"Ministero dell\u2019Istruzione, dell\u2019Universit\u00e0 e della Ricerca","ror":"https://ror.org/0166hxq48"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":48,"referenced_works":["https://openalex.org/W59899352","https://openalex.org/W62946809","https://openalex.org/W1537383557","https://openalex.org/W1538135945","https://openalex.org/W1886421468","https://openalex.org/W1966058908","https://openalex.org/W1966401910","https://openalex.org/W1970805553","https://openalex.org/W1972622121","https://openalex.org/W1974987146","https://openalex.org/W1978434425","https://openalex.org/W1981906789","https://openalex.org/W1982055439","https://openalex.org/W1986100983","https://openalex.org/W1991962363","https://openalex.org/W1994170747","https://openalex.org/W1996106164","https://openalex.org/W2001032670","https://openalex.org/W2009546107","https://openalex.org/W2013637933","https://openalex.org/W2016870785","https://openalex.org/W2019577174","https://openalex.org/W2027557220","https://openalex.org/W2037004033","https://openalex.org/W2044000857","https://openalex.org/W2044115635","https://openalex.org/W2050260002","https://openalex.org/W2050873954","https://openalex.org/W2054420328","https://openalex.org/W2055048779","https://openalex.org/W2059328025","https://openalex.org/W2067207246","https://openalex.org/W2067409440","https://openalex.org/W2073447845","https://openalex.org/W2073809154","https://openalex.org/W2080330641","https://openalex.org/W2084262013","https://openalex.org/W2085927003","https://openalex.org/W2100520965","https://openalex.org/W2110719162","https://openalex.org/W2128618499","https://openalex.org/W2169437869","https://openalex.org/W2519149964","https://openalex.org/W2571701181","https://openalex.org/W2796949262","https://openalex.org/W2963013966","https://openalex.org/W2963401669","https://openalex.org/W3036269677"],"related_works":["https://openalex.org/W2325987111","https://openalex.org/W2028552377","https://openalex.org/W190923162","https://openalex.org/W2506813099","https://openalex.org/W2120544159","https://openalex.org/W2138205070","https://openalex.org/W110082278","https://openalex.org/W3197328902","https://openalex.org/W2549674475","https://openalex.org/W2297827206","https://openalex.org/W2505332949","https://openalex.org/W2950534538","https://openalex.org/W1841206708","https://openalex.org/W2130454294","https://openalex.org/W161614125","https://openalex.org/W1575554793","https://openalex.org/W2169326293","https://openalex.org/W2064123187","https://openalex.org/W2981539034","https://openalex.org/W102655880"],"abstract_inverted_index":{"We":[0],"consider":[1,25],"the":[2,31,34,48,51,65,75,92,100,118,124,138,145],"development":[3],"of":[4,50,68,78,102],"high-order":[5,109],"space":[6,43],"and":[7,33,42,86,121],"time":[8,15,41,133],"numerical":[9,71,142],"methods":[10,72,106],"based":[11],"on":[12],"implicit-explicit":[13,103],"multistep":[14,105],"integrators":[16],"for":[17,74],"hyperbolic":[18,26,59,79],"systems":[19,80],"with":[20,81],"relaxation.":[21],"More":[22],"specifically,":[23],"we":[24,107],"balance":[27],"laws":[28],"in":[29,90,99],"which":[30,112],"convection":[32],"source":[35],"term":[36],"may":[37],"have":[38],"very":[39],"different":[40,119],"scales.":[44,140],"As":[45],"a":[46,58,61],"consequence,":[47],"nature":[49],"asymptotic":[52,126],"limit":[53,94],"changes":[54],"completely,":[55],"passing":[56],"from":[57,129],"to":[60,115,122],"parabolic":[62,93],"system.":[63],"From":[64],"computational":[66],"point":[67],"view,":[69],"standard":[70],"designed":[73],"fluid-dynamic":[76],"scaling":[77],"relaxation":[82],"present":[83],"several":[84],"drawbacks":[85],"typically":[87],"lose":[88],"efficiency":[89],"describing":[91],"regime.":[95],"In":[96],"this":[97],"work,":[98],"context":[101],"linear":[104],"construct":[108],"space-time":[110],"discretizations":[111],"are":[113],"able":[114],"handle":[116],"all":[117],"scales":[120],"capture":[123],"correct":[125],"behavior,":[127],"independently":[128],"its":[130],"nature,":[131],"without":[132],"step":[134],"restrictions":[135],"imposed":[136],"by":[137],"fast":[139],"Several":[141],"examples":[143],"confirm":[144],"theoretical":[146],"analysis.":[147]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2026-08-05T07:39:15.569665","created_date":"2025-10-10T00:00:00"}