{"id":"https://openalex.org/W2157450859","doi":"https://doi.org/10.1137/080713331","title":"Operator-Based Preconditioning of Stiff Hyperbolic Systems","display_name":"Operator-Based Preconditioning of Stiff Hyperbolic Systems","publication_year":2010,"publication_date":"2010-01-01","ids":{"openalex":"https://openalex.org/W2157450859","doi":"https://doi.org/10.1137/080713331","mag":"2157450859"},"language":"en","primary_location":{"id":"doi:10.1137/080713331","is_oa":false,"landing_page_url":"https://doi.org/10.1137/080713331","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://digital.library.unt.edu/ark:/67531/metadc925564/m2/1/high_res_d/950693.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5042712690","display_name":"Daniel R. Reynolds","orcid":"https://orcid.org/0000-0002-0911-7841"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Daniel R. Reynolds","raw_affiliation_strings":["reynolds@smu.edu#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"reynolds@smu.edu#TAB#","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5059535412","display_name":"Ravi Samtaney","orcid":"https://orcid.org/0000-0002-4702-6473"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ravi Samtaney","raw_affiliation_strings":["samtaney@pppl.gov#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"samtaney@pppl.gov#TAB#","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5017837268","display_name":"Carol S. Woodward","orcid":"https://orcid.org/0000-0002-6502-8659"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Carol S. Woodward","raw_affiliation_strings":["cswoodward@llnl.gov#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"cswoodward@llnl.gov#TAB#","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.3456,"has_fulltext":true,"cited_by_count":20,"citation_normalized_percentile":{"value":0.89161118,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"32","issue":"1","first_page":"150","last_page":"170"},"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":0.9995999932289124,"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":0.9995999932289124,"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9987000226974487,"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/T11751","display_name":"Lattice Boltzmann Simulation Studies","score":0.9968000054359436,"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":0.6776625514030457},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.6525298953056335},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.45455750823020935},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.451094388961792},{"id":"https://openalex.org/keywords/transient","display_name":"Transient (computer programming)","score":0.4411051273345947},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3544418215751648},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.32211875915527344},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.21286171674728394}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6776625514030457},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.6525298953056335},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.45455750823020935},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.451094388961792},{"id":"https://openalex.org/C2780799671","wikidata":"https://www.wikidata.org/wiki/Q17087362","display_name":"Transient (computer programming)","level":2,"score":0.4411051273345947},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3544418215751648},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.32211875915527344},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.21286171674728394},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/080713331","is_oa":false,"landing_page_url":"https://doi.org/10.1137/080713331","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:info:ark/67531/metadc925564","is_oa":true,"landing_page_url":"https://digital.library.unt.edu/ark:/67531/metadc925564/","pdf_url":"https://digital.library.unt.edu/ark:/67531/metadc925564/m2/1/high_res_d/950693.pdf","source":{"id":"https://openalex.org/S4306400792","display_name":"University of North Texas Digital Library (University of North Texas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I123534392","host_organization_name":"University of North Texas","host_organization_lineage":["https://openalex.org/I123534392"],"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":"Report"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.705.4226","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.705.4226","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://faculty.smu.edu/reynolds/Papers/reynolds-sisc2010.pdf","raw_type":"text"}],"best_oa_location":{"id":"pmh:info:ark/67531/metadc925564","is_oa":true,"landing_page_url":"https://digital.library.unt.edu/ark:/67531/metadc925564/","pdf_url":"https://digital.library.unt.edu/ark:/67531/metadc925564/m2/1/high_res_d/950693.pdf","source":{"id":"https://openalex.org/S4306400792","display_name":"University of North Texas Digital Library (University of North Texas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I123534392","host_organization_name":"University of North Texas","host_organization_lineage":["https://openalex.org/I123534392"],"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":"Report"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2071621841","display_name":"TOWARDS OPTIMAL PETASCALE SIMULATIONS (TOPS)","funder_award_id":"FC02-06ER25785","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G3494937111","display_name":null,"funder_award_id":"DE-AC02-76CH03073","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G4078953109","display_name":null,"funder_award_id":"DE-AC52-07NA27344","funder_id":"https://openalex.org/F4320338379","funder_display_name":"Princeton Plasma Physics Laboratory"},{"id":"https://openalex.org/G5522089832","display_name":null,"funder_award_id":"DE-AC52-07NA27344","funder_id":"https://openalex.org/F4320338286","funder_display_name":"Lawrence Livermore National Laboratory"},{"id":"https://openalex.org/G5816449448","display_name":null,"funder_award_id":"DE-AC52-07NA27344","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G6558272803","display_name":null,"funder_award_id":"DE-AC02","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G8374966015","display_name":null,"funder_award_id":"AC52-07NA27344","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G969889393","display_name":null,"funder_award_id":"DE-AC02-","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G991281326","display_name":null,"funder_award_id":"AC52-07NA27344","funder_id":"https://openalex.org/F4320338286","funder_display_name":"Lawrence Livermore National Laboratory"}],"funders":[{"id":"https://openalex.org/F4320306084","display_name":"U.S. Department of Energy","ror":"https://ror.org/01bj3aw27"},{"id":"https://openalex.org/F4320309292","display_name":"Princeton University","ror":"https://ror.org/00hx57361"},{"id":"https://openalex.org/F4320332603","display_name":"University of California, San Diego","ror":"https://ror.org/0168r3w48"},{"id":"https://openalex.org/F4320338286","display_name":"Lawrence Livermore National Laboratory","ror":"https://ror.org/041nk4h53"},{"id":"https://openalex.org/F4320338379","display_name":"Princeton Plasma Physics Laboratory","ror":"https://ror.org/03vn1ts68"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2157450859.pdf","grobid_xml":"https://content.openalex.org/works/W2157450859.grobid-xml"},"referenced_works_count":39,"referenced_works":["https://openalex.org/W1513120201","https://openalex.org/W1560263223","https://openalex.org/W1576347883","https://openalex.org/W1967812266","https://openalex.org/W1970182620","https://openalex.org/W1970968271","https://openalex.org/W1975059575","https://openalex.org/W1977061454","https://openalex.org/W1981256106","https://openalex.org/W1989646592","https://openalex.org/W2003671739","https://openalex.org/W2012492661","https://openalex.org/W2026700540","https://openalex.org/W2031768644","https://openalex.org/W2041379442","https://openalex.org/W2042087926","https://openalex.org/W2055931342","https://openalex.org/W2056609352","https://openalex.org/W2056931871","https://openalex.org/W2059737481","https://openalex.org/W2065044274","https://openalex.org/W2077047259","https://openalex.org/W2081556562","https://openalex.org/W2085518726","https://openalex.org/W2091448994","https://openalex.org/W2094818681","https://openalex.org/W2109330921","https://openalex.org/W2143476164","https://openalex.org/W2145238600","https://openalex.org/W2145627022","https://openalex.org/W2163880394","https://openalex.org/W2166751342","https://openalex.org/W2171303908","https://openalex.org/W2331956248","https://openalex.org/W2365321294","https://openalex.org/W2798909945","https://openalex.org/W3017295503","https://openalex.org/W4292169137","https://openalex.org/W4382891143"],"related_works":["https://openalex.org/W2358137648","https://openalex.org/W1975289146","https://openalex.org/W3128819368","https://openalex.org/W2259231220","https://openalex.org/W3170092502","https://openalex.org/W2105887828","https://openalex.org/W2087240539","https://openalex.org/W2130857934","https://openalex.org/W2389992906","https://openalex.org/W4236520801"],"abstract_inverted_index":{"We":[0,66,81],"introduce":[1],"an":[2],"operator-based":[3],"scheme":[4,90],"for":[5,13,47,122],"preconditioning":[6,69,89],"stiff":[7,72],"components":[8],"encountered":[9],"in":[10,76],"implicit":[11,32],"methods":[12],"hyperbolic":[14,73],"systems":[15,74],"of":[16,30,39,50,53,103,118],"PDEs":[17],"posed":[18],"on":[19,26,93,126],"regular":[20],"grids.":[21],"The":[22],"method":[23,70],"is":[24],"based":[25,125],"a":[27,36],"directional":[28,42],"splitting":[29],"the":[31,40,48,57,62,68,96,101,127],"operator,":[33],"followed":[34],"by":[35],"characteristic":[37,54],"decomposition":[38],"resulting":[41],"parts.":[43],"This":[44],"approach":[45],"allows":[46,121],"solution":[49],"any":[51],"number":[52],"components,":[55],"from":[56,100],"entire":[58],"system":[59],"to":[60,71,112],"only":[61],"fastest,":[63],"stiffness-inducing":[64],"waves.":[65],"apply":[67],"arising":[75],"magnetohydrodynamics":[77],"and":[78,116,120],"gas":[79],"dynamics.":[80],"then":[82],"present":[83],"numerical":[84],"results":[85,99],"showing":[86],"that":[87],"this":[88],"works":[91],"well":[92,111],"problems":[94,129],"where":[95],"underlying":[97],"stiffness":[98],"interaction":[102],"fast":[104],"transient":[105],"waves":[106],"with":[107],"slowly-evolving":[108],"dynamics,":[109],"scales":[110],"large":[113],"problem":[114],"sizes":[115],"numbers":[117],"processors,":[119],"additional":[123],"customization":[124],"specific":[128],"under":[130],"study.":[131]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":5},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}