{"id":"https://openalex.org/W2005363872","doi":"https://doi.org/10.1137/s1064827599363988","title":"Point Value Multiscale Algorithms for 2D Compressible Flows","display_name":"Point Value Multiscale Algorithms for 2D Compressible Flows","publication_year":2001,"publication_date":"2001-01-01","ids":{"openalex":"https://openalex.org/W2005363872","doi":"https://doi.org/10.1137/s1064827599363988","mag":"2005363872"},"language":"en","primary_location":{"id":"doi:10.1137/s1064827599363988","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1064827599363988","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/A5070189720","display_name":"Guillaume Chiavassa","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Guillaume Chiavassa","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5043421446","display_name":"Rosa Donat","orcid":"https://orcid.org/0000-0003-0428-447X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Rosa Donat","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":5.0369,"has_fulltext":false,"cited_by_count":63,"citation_normalized_percentile":{"value":0.95050305,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"23","issue":"3","first_page":"805","last_page":"823"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9994999766349792,"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"}},"topics":[{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9994999766349792,"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"}},{"id":"https://openalex.org/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9991999864578247,"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/classification-of-discontinuities","display_name":"Classification of discontinuities","score":0.8070991039276123},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.6648935675621033},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6272470951080322},{"id":"https://openalex.org/keywords/euler-equations","display_name":"Euler equations","score":0.6076565384864807},{"id":"https://openalex.org/keywords/divergence","display_name":"Divergence (linguistics)","score":0.526313304901123},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5214542746543884},{"id":"https://openalex.org/keywords/compressible-flow","display_name":"Compressible flow","score":0.4865471422672272},{"id":"https://openalex.org/keywords/courant\u2013friedrichs\u2013lewy-condition","display_name":"Courant\u2013Friedrichs\u2013Lewy condition","score":0.47694626450538635},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.46196478605270386},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.4563683569431305},{"id":"https://openalex.org/keywords/conservation-law","display_name":"Conservation law","score":0.45449984073638916},{"id":"https://openalex.org/keywords/shock","display_name":"Shock (circulatory)","score":0.45160093903541565},{"id":"https://openalex.org/keywords/compressibility","display_name":"Compressibility","score":0.44431281089782715},{"id":"https://openalex.org/keywords/initial-value-problem","display_name":"Initial value problem","score":0.44305652379989624},{"id":"https://openalex.org/keywords/eulers-formula","display_name":"Euler's formula","score":0.419813334941864},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3250517249107361},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.22479361295700073},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.0881434977054596}],"concepts":[{"id":"https://openalex.org/C15627037","wikidata":"https://www.wikidata.org/wiki/Q541961","display_name":"Classification of discontinuities","level":2,"score":0.8070991039276123},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.6648935675621033},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6272470951080322},{"id":"https://openalex.org/C38409319","wikidata":"https://www.wikidata.org/wiki/Q375175","display_name":"Euler equations","level":2,"score":0.6076565384864807},{"id":"https://openalex.org/C207390915","wikidata":"https://www.wikidata.org/wiki/Q1230525","display_name":"Divergence (linguistics)","level":2,"score":0.526313304901123},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5214542746543884},{"id":"https://openalex.org/C5192115","wikidata":"https://www.wikidata.org/wiki/Q2705141","display_name":"Compressible flow","level":3,"score":0.4865471422672272},{"id":"https://openalex.org/C30295242","wikidata":"https://www.wikidata.org/wiki/Q1023483","display_name":"Courant\u2013Friedrichs\u2013Lewy condition","level":3,"score":0.47694626450538635},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.46196478605270386},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.4563683569431305},{"id":"https://openalex.org/C3445786","wikidata":"https://www.wikidata.org/wiki/Q205805","display_name":"Conservation law","level":2,"score":0.45449984073638916},{"id":"https://openalex.org/C2781300812","wikidata":"https://www.wikidata.org/wiki/Q178061","display_name":"Shock (circulatory)","level":2,"score":0.45160093903541565},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.44431281089782715},{"id":"https://openalex.org/C26955809","wikidata":"https://www.wikidata.org/wiki/Q10167591","display_name":"Initial value problem","level":2,"score":0.44305652379989624},{"id":"https://openalex.org/C62884695","wikidata":"https://www.wikidata.org/wiki/Q184871","display_name":"Euler's formula","level":2,"score":0.419813334941864},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3250517249107361},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.22479361295700073},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.0881434977054596},{"id":"https://openalex.org/C126322002","wikidata":"https://www.wikidata.org/wiki/Q11180","display_name":"Internal medicine","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.0},{"id":"https://openalex.org/C502989409","wikidata":"https://www.wikidata.org/wiki/Q11425","display_name":"Animation","level":2,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/s1064827599363988","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1064827599363988","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:CiteSeerX.psu:10.1.1.43.3553","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.43.3553","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ftp://ftp.math.ucla.edu/pub/camreport/cam00-17.ps.gz","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.896.2146","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.896.2146","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://www.researchgate.net/profile/Rosa_Donat/publication/238832021_Point_Value_Multiscale_Algorithms_for_2D_Compressible_Flows/links/549057fd0cf225bf66a82b2c.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Life in Land","score":0.6899999976158142,"id":"https://metadata.un.org/sdg/15"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W1236809509","https://openalex.org/W1639454280","https://openalex.org/W1647409653","https://openalex.org/W1973481688","https://openalex.org/W1978574244","https://openalex.org/W1980836430","https://openalex.org/W1999399767","https://openalex.org/W2004413624","https://openalex.org/W2005106153","https://openalex.org/W2015159084","https://openalex.org/W2017308331","https://openalex.org/W2020919250","https://openalex.org/W2028102681","https://openalex.org/W2032835894","https://openalex.org/W2039729012","https://openalex.org/W2044084385","https://openalex.org/W2047844727","https://openalex.org/W2055881770","https://openalex.org/W2089134771","https://openalex.org/W2089184762","https://openalex.org/W2111132901","https://openalex.org/W2163637155","https://openalex.org/W2462804364","https://openalex.org/W4242286808"],"related_works":["https://openalex.org/W1993547033","https://openalex.org/W1971220181","https://openalex.org/W2138275698","https://openalex.org/W2062475297","https://openalex.org/W2021157289","https://openalex.org/W22542316","https://openalex.org/W2009296525","https://openalex.org/W4246698579","https://openalex.org/W3095914180","https://openalex.org/W2088380080"],"abstract_inverted_index":{"The":[0,166],"numerical":[1,29,121,141],"simulation":[2],"of":[3,9,18,52,87,139,172],"physical":[4],"problems":[5],"modeled":[6],"by":[7],"systems":[8],"conservation":[10],"laws":[11],"is":[12,46,91,100,116,133,153],"difficult":[13],"due":[14],"to":[15,82,102,118,135,155],"the":[16,21,50,84,120,137,140,157],"presence":[17],"discontinuities":[19,32],"in":[20,38,77,170],"solution.":[22],"High-order":[23],"shock":[24,113],"capturing":[25,114],"schemes":[26],"combine":[27],"sharp":[28],"profiles":[30],"at":[31,123],"with":[33,105],"a":[34,80,94,129],"highly":[35],"accurate":[36],"approximation":[37],"smooth":[39,127],"regions,":[40,109],"but":[41],"usually":[42],"their":[43],"computational":[44],"cost":[45],"quite":[47],"large.":[48],"Following":[49],"idea":[51],"A.":[53],"Harten":[54,66],"[Comm.":[55],"Pure":[56],"Appl.":[57],"Math.,":[58],"48":[59],"(1995),":[60],"pp.":[61,73],"1305--1342]":[62],"and":[63,65,174],"Bihari":[64],"[SIAM":[67],"J.":[68],"Sci.":[69],"Comput.,":[70],"18":[71],"(1997),":[72],"315--354],":[74],"we":[75],"present":[76],"this":[78],"paper":[79],"method":[81,152],"reduce":[83],"execution":[85],"time":[86],"such":[88],"simulations.":[89],"It":[90],"based":[92],"on":[93,147],"point":[95],"value":[96,138],"multiresolution":[97],"transform":[98],"that":[99],"used":[101,134],"detect":[103],"regions":[104,128],"singularities.":[106],"In":[107,126],"these":[108],"an":[110],"expensive":[111],"high-resolution":[112],"scheme":[115],"applied":[117,154],"compute":[119],"flux":[122],"cell":[124],"interfaces.":[125],"cheap":[130],"polynomial":[131],"interpolation":[132],"deduce":[136],"divergence":[142],"from":[143],"values":[144],"previously":[145],"obtained":[146],"lower":[148],"resolution":[149],"scales.":[150],"This":[151],"solve":[156],"two-dimensional":[158],"compressible":[159],"Euler":[160],"equations":[161],"for":[162],"two":[163],"classical":[164],"configurations.":[165],"results":[167],"are":[168],"analyzed":[169],"terms":[171],"quality":[173],"efficiency.":[175]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
