{"id":"https://openalex.org/W1963971342","doi":"https://doi.org/10.1137/050643118","title":"Multi\u2010Resolution\u2010Analysis Scheme for Uncertainty Quantification in Chemical Systems","display_name":"Multi\u2010Resolution\u2010Analysis Scheme for Uncertainty Quantification in Chemical Systems","publication_year":2007,"publication_date":"2007-01-01","ids":{"openalex":"https://openalex.org/W1963971342","doi":"https://doi.org/10.1137/050643118","mag":"1963971342"},"language":"en","primary_location":{"id":"doi:10.1137/050643118","is_oa":false,"landing_page_url":"https://doi.org/10.1137/050643118","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/A5012736293","display_name":"Olivier Le Ma\u0131\u0302tre","orcid":"https://orcid.org/0000-0002-3811-7787"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"O. P. Le Ma\u00eetre","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075501406","display_name":"Habib N. Najm","orcid":"https://orcid.org/0000-0002-6338-7260"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"H. N. Najm","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5090559121","display_name":"Philippe P\u00e9ba\u00ff","orcid":"https://orcid.org/0000-0002-2311-3775"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"P. P. P\u00e9bay","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5006138292","display_name":"Roger Ghanem","orcid":"https://orcid.org/0000-0002-1890-920X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"R. G. Ghanem","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5108087933","display_name":"Omar M. Knio","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"O. M. Knio","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":6.6184,"has_fulltext":false,"cited_by_count":87,"citation_normalized_percentile":{"value":0.97058476,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":"29","issue":"2","first_page":"864","last_page":"889"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.9932000041007996,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/T10876","display_name":"Fault Detection and Control Systems","score":0.9896000027656555,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"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/polynomial-chaos","display_name":"Polynomial chaos","score":0.7082870602607727},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6897902488708496},{"id":"https://openalex.org/keywords/hermite-polynomials","display_name":"Hermite polynomials","score":0.6700417399406433},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.6087196469306946},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.601830780506134},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.5958044528961182},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5105958580970764},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.49639564752578735},{"id":"https://openalex.org/keywords/resolution","display_name":"Resolution (logic)","score":0.4400603473186493},{"id":"https://openalex.org/keywords/multiresolution-analysis","display_name":"Multiresolution analysis","score":0.4391840100288391},{"id":"https://openalex.org/keywords/uncertainty-quantification","display_name":"Uncertainty quantification","score":0.4228525757789612},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.40190833806991577},{"id":"https://openalex.org/keywords/wavelet","display_name":"Wavelet","score":0.4006616473197937},{"id":"https://openalex.org/keywords/monte-carlo-method","display_name":"Monte Carlo method","score":0.22996455430984497},{"id":"https://openalex.org/keywords/wavelet-transform","display_name":"Wavelet transform","score":0.19699284434318542},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.18659794330596924},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.17448294162750244},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.14710694551467896},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.10769757628440857},{"id":"https://openalex.org/keywords/discrete-wavelet-transform","display_name":"Discrete wavelet transform","score":0.08226609230041504}],"concepts":[{"id":"https://openalex.org/C197656079","wikidata":"https://www.wikidata.org/wiki/Q17147719","display_name":"Polynomial chaos","level":3,"score":0.7082870602607727},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6897902488708496},{"id":"https://openalex.org/C201362023","wikidata":"https://www.wikidata.org/wiki/Q658574","display_name":"Hermite polynomials","level":2,"score":0.6700417399406433},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.6087196469306946},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.601830780506134},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.5958044528961182},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5105958580970764},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.49639564752578735},{"id":"https://openalex.org/C138268822","wikidata":"https://www.wikidata.org/wiki/Q1051925","display_name":"Resolution (logic)","level":2,"score":0.4400603473186493},{"id":"https://openalex.org/C121927907","wikidata":"https://www.wikidata.org/wiki/Q1952516","display_name":"Multiresolution analysis","level":5,"score":0.4391840100288391},{"id":"https://openalex.org/C32230216","wikidata":"https://www.wikidata.org/wiki/Q7882499","display_name":"Uncertainty quantification","level":2,"score":0.4228525757789612},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.40190833806991577},{"id":"https://openalex.org/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"score":0.4006616473197937},{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.22996455430984497},{"id":"https://openalex.org/C196216189","wikidata":"https://www.wikidata.org/wiki/Q2867","display_name":"Wavelet transform","level":3,"score":0.19699284434318542},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.18659794330596924},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.17448294162750244},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.14710694551467896},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.10769757628440857},{"id":"https://openalex.org/C46286280","wikidata":"https://www.wikidata.org/wiki/Q2414958","display_name":"Discrete wavelet transform","level":4,"score":0.08226609230041504},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","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},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"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":1,"locations":[{"id":"doi:10.1137/050643118","is_oa":false,"landing_page_url":"https://doi.org/10.1137/050643118","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1538934584","https://openalex.org/W1968512837","https://openalex.org/W1969911683","https://openalex.org/W2004814202","https://openalex.org/W2011350300","https://openalex.org/W2018159038","https://openalex.org/W2024825926","https://openalex.org/W2055081012","https://openalex.org/W2057948807","https://openalex.org/W2058191269","https://openalex.org/W2061604462","https://openalex.org/W2089770162","https://openalex.org/W2100917607","https://openalex.org/W2105596596","https://openalex.org/W2167720109","https://openalex.org/W2321957512","https://openalex.org/W2332771484"],"related_works":["https://openalex.org/W2149356746","https://openalex.org/W2517755966","https://openalex.org/W3215394929","https://openalex.org/W2108001913","https://openalex.org/W2014910883","https://openalex.org/W2789381754","https://openalex.org/W3158222746","https://openalex.org/W2998325883","https://openalex.org/W2078010282","https://openalex.org/W2811262943"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"a":[3,103],"multi\u2010resolution":[4,48],"approach":[5],"for":[6,65,146],"the":[7,32,38,44,55,66,69,87,90,111,130,136,142],"propagation":[8],"of":[9,24,34,37,54,60,68,73,89,95,113,141],"parametric":[10],"uncertainty":[11],"in":[12,31,58,71,93,134],"chemical":[13,149],"systems.":[14],"It":[15],"is":[16,50,82,124,144],"motivated":[17],"by":[18],"previous":[19],"studies":[20],"where":[21],"Galerkin":[22,91],"formulations":[23],"Wiener\u2013Hermite":[25],"expansions":[26],"were":[27],"found":[28],"to":[29,43,84,126],"fail":[30],"presence":[33,94],"steep":[35,96],"dependences":[36],"species":[39],"concentrations":[40],"with":[41,102,110],"regard":[42],"reaction":[45,115],"rates.":[46,116],"The":[47,79,139],"scheme":[49],"based":[51],"on":[52],"representation":[53,81],"uncertain":[56,114,148],"concentration":[57],"terms":[59,72],"compact":[61],"polynomial":[62,74],"multi\u2010wavelets,":[63],"allowing":[64],"control":[67,127],"convergence":[70],"order":[75],"and":[76,133],"resolution":[77,137],"level.":[78,138],"resulting":[80],"shown":[83],"greatly":[85],"improve":[86],"robustness":[88],"procedure":[92],"dependences.":[97],"However,":[98],"this":[99,119],"improvement":[100],"comes":[101],"higher":[104],"computational":[105],"cost":[106],"which":[107],"drastically":[108],"increases":[109],"number":[112],"To":[117],"overcome":[118],"drawback":[120],"an":[121,147],"adaptive":[122],"strategy":[123],"proposed":[125],"locally":[128],"(in":[129],"parameter":[131],"space)":[132],"time":[135],"efficiency":[140],"method":[143],"demonstrated":[145],"system":[150],"having":[151],"eight":[152],"random":[153],"parameters.":[154]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":7},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":9},{"year":2014,"cited_by_count":9},{"year":2013,"cited_by_count":11},{"year":2012,"cited_by_count":13}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
