{"id":"https://openalex.org/W2067639338","doi":"https://doi.org/10.1007/s10915-015-0026-3","title":"A Novel Weakly-Intrusive Non-linear Multiresolution Framework for Uncertainty Quantification in Hyperbolic Partial Differential Equations","display_name":"A Novel Weakly-Intrusive Non-linear Multiresolution Framework for Uncertainty Quantification in Hyperbolic Partial Differential Equations","publication_year":2015,"publication_date":"2015-04-23","ids":{"openalex":"https://openalex.org/W2067639338","doi":"https://doi.org/10.1007/s10915-015-0026-3","mag":"2067639338"},"language":"en","primary_location":{"id":"doi:10.1007/s10915-015-0026-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-015-0026-3","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of 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/A5108692724","display_name":"Gianluca Geraci","orcid":null},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Gianluca Geraci","raw_affiliation_strings":["Flow Physics and Computational Engineering, Mechanical Engineering Department, Stanford University, 488 Escondido Mall, Stanford, CA, 94305-3035, USA","Flow Physics and Computational Engineering, Mechanical Engineering Department, Stanford University, Stanford, USA 94305-3035#TAB#"],"affiliations":[{"raw_affiliation_string":"Flow Physics and Computational Engineering, Mechanical Engineering Department, Stanford University, 488 Escondido Mall, Stanford, CA, 94305-3035, USA","institution_ids":["https://openalex.org/I97018004"]},{"raw_affiliation_string":"Flow Physics and Computational Engineering, Mechanical Engineering Department, Stanford University, Stanford, USA 94305-3035#TAB#","institution_ids":["https://openalex.org/I97018004"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5107430350","display_name":"Pietro Marco Congedo","orcid":null},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en informatique et en automatique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1326498283"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Pietro Marco Congedo","raw_affiliation_strings":["INRIA Bordeaux\u2013Sud-Ouest, 200 Avenue de la Vieille Tour, 33405, Talence Cedex, France","INRIA Bordeaux --- Sud-Ouest, Talence cedex, France 33405"],"affiliations":[{"raw_affiliation_string":"INRIA Bordeaux\u2013Sud-Ouest, 200 Avenue de la Vieille Tour, 33405, Talence Cedex, France","institution_ids":["https://openalex.org/I1326498283"]},{"raw_affiliation_string":"INRIA Bordeaux --- Sud-Ouest, Talence cedex, France 33405","institution_ids":["https://openalex.org/I1326498283"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5024564342","display_name":"R\u00e9mi Abgrall","orcid":"https://orcid.org/0000-0002-5553-7476"},"institutions":[{"id":"https://openalex.org/I202697423","display_name":"University of Zurich","ror":"https://ror.org/02crff812","country_code":"CH","type":"education","lineage":["https://openalex.org/I202697423"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"R\u00e9mi Abgrall","raw_affiliation_strings":["Institut f\u00fcr Mathematik, Universit\u00e4t Z\u00fcrich, Winterthurerstrasse 190, 8057, Zurich, Switzerland","Institut f\u00fcr Mathematik, Universit\u00e4t Z\u00fcrich, Zurich, Switzerland 8057#TAB#"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Mathematik, Universit\u00e4t Z\u00fcrich, Winterthurerstrasse 190, 8057, Zurich, Switzerland","institution_ids":["https://openalex.org/I202697423"]},{"raw_affiliation_string":"Institut f\u00fcr Mathematik, Universit\u00e4t Z\u00fcrich, Zurich, Switzerland 8057#TAB#","institution_ids":["https://openalex.org/I202697423"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5047377841","display_name":"Gianluca Iaccarino","orcid":"https://orcid.org/0000-0003-3659-7745"},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Gianluca Iaccarino","raw_affiliation_strings":["Flow Physics and Computational Engineering, Mechanical Engineering Department, Stanford University, 488 Escondido Mall, Stanford, CA, 94305-3035, USA","Flow Physics and Computational Engineering, Mechanical Engineering Department, Stanford University, Stanford, USA 94305-3035#TAB#"],"affiliations":[{"raw_affiliation_string":"Flow Physics and Computational Engineering, Mechanical Engineering Department, Stanford University, 488 Escondido Mall, Stanford, CA, 94305-3035, USA","institution_ids":["https://openalex.org/I97018004"]},{"raw_affiliation_string":"Flow Physics and Computational Engineering, Mechanical Engineering Department, Stanford University, Stanford, USA 94305-3035#TAB#","institution_ids":["https://openalex.org/I97018004"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5108692724"],"corresponding_institution_ids":["https://openalex.org/I97018004"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.5212,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.87608783,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"66","issue":"1","first_page":"358","last_page":"405"},"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/T11371","display_name":"Wind and Air Flow Studies","score":0.9955000281333923,"subfield":{"id":"https://openalex.org/subfields/2305","display_name":"Environmental Engineering"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental 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":0.9950000047683716,"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":0.7553905248641968},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.6618868112564087},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.6182610392570496},{"id":"https://openalex.org/keywords/polynomial-chaos","display_name":"Polynomial chaos","score":0.5483071804046631},{"id":"https://openalex.org/keywords/stochastic-partial-differential-equation","display_name":"Stochastic partial differential equation","score":0.5222259759902954},{"id":"https://openalex.org/keywords/classification-of-discontinuities","display_name":"Classification of discontinuities","score":0.48202335834503174},{"id":"https://openalex.org/keywords/uncertainty-quantification","display_name":"Uncertainty quantification","score":0.4674236476421356},{"id":"https://openalex.org/keywords/randomness","display_name":"Randomness","score":0.4501670002937317},{"id":"https://openalex.org/keywords/multiresolution-analysis","display_name":"Multiresolution analysis","score":0.42810243368148804},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.36173921823501587},{"id":"https://openalex.org/keywords/monte-carlo-method","display_name":"Monte Carlo method","score":0.3456152081489563},{"id":"https://openalex.org/keywords/wavelet","display_name":"Wavelet","score":0.2847919464111328},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2843649983406067},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.17777085304260254}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7553905248641968},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.6618868112564087},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.6182610392570496},{"id":"https://openalex.org/C197656079","wikidata":"https://www.wikidata.org/wiki/Q17147719","display_name":"Polynomial chaos","level":3,"score":0.5483071804046631},{"id":"https://openalex.org/C84629840","wikidata":"https://www.wikidata.org/wiki/Q16979017","display_name":"Stochastic partial differential equation","level":3,"score":0.5222259759902954},{"id":"https://openalex.org/C15627037","wikidata":"https://www.wikidata.org/wiki/Q541961","display_name":"Classification of discontinuities","level":2,"score":0.48202335834503174},{"id":"https://openalex.org/C32230216","wikidata":"https://www.wikidata.org/wiki/Q7882499","display_name":"Uncertainty quantification","level":2,"score":0.4674236476421356},{"id":"https://openalex.org/C125112378","wikidata":"https://www.wikidata.org/wiki/Q176640","display_name":"Randomness","level":2,"score":0.4501670002937317},{"id":"https://openalex.org/C121927907","wikidata":"https://www.wikidata.org/wiki/Q1952516","display_name":"Multiresolution analysis","level":5,"score":0.42810243368148804},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.36173921823501587},{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.3456152081489563},{"id":"https://openalex.org/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"score":0.2847919464111328},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2843649983406067},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.17777085304260254},{"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/C46286280","wikidata":"https://www.wikidata.org/wiki/Q2414958","display_name":"Discrete wavelet transform","level":4,"score":0.0},{"id":"https://openalex.org/C196216189","wikidata":"https://www.wikidata.org/wiki/Q2867","display_name":"Wavelet transform","level":3,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1007/s10915-015-0026-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-015-0026-3","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Scientific Computing","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-01139813v1","is_oa":false,"landing_page_url":"https://inria.hal.science/hal-01139813","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Scientific Computing, 2015, pp.34","raw_type":"Journal articles"},{"id":"pmh:oai:oskar-bordeaux.fr:20.500.12278/114164","is_oa":false,"landing_page_url":"https://oskar-bordeaux.fr/handle/20.500.12278/114164","pdf_url":null,"source":{"id":"https://openalex.org/S4306402569","display_name":"Oskar-Bordeaux (Universite de Bordeaux)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article de revue"},{"id":"pmh:oai:oskar-bordeaux.fr:20.500.12278/194425","is_oa":false,"landing_page_url":"https://oskar-bordeaux.fr/handle/20.500.12278/194425","pdf_url":null,"source":{"id":"https://openalex.org/S4306402569","display_name":"Oskar-Bordeaux (Universite de Bordeaux)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article de revue"},{"id":"pmh:oai:www.zora.uzh.ch:124443","is_oa":false,"landing_page_url":"https://www.zora.uzh.ch/124443","pdf_url":null,"source":{"id":"https://openalex.org/S4306401281","display_name":"Zurich Open Repository and Archive (University of Zurich)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I202697423","host_organization_name":"University of Zurich","host_organization_lineage":["https://openalex.org/I202697423"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Geraci, Gianluca; Congedo, Pietro Marco; Abgrall, R\u00e9mi; Iaccarino, Gianluca  (2016). A novel weakly-intrusive non-linear multiresolution framework for uncertainty quantification in hyperbolic partial differential equations.  Journal of Scientific Computing, 66(1):358-405.","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":51,"referenced_works":["https://openalex.org/W50966635","https://openalex.org/W85039292","https://openalex.org/W85435400","https://openalex.org/W105972687","https://openalex.org/W175001303","https://openalex.org/W196710731","https://openalex.org/W412320435","https://openalex.org/W432768239","https://openalex.org/W1502303339","https://openalex.org/W1538934584","https://openalex.org/W1553144855","https://openalex.org/W1555627060","https://openalex.org/W1583892864","https://openalex.org/W1866439355","https://openalex.org/W1886421468","https://openalex.org/W1970480040","https://openalex.org/W1982867713","https://openalex.org/W1987326306","https://openalex.org/W1995273590","https://openalex.org/W1997235482","https://openalex.org/W1998830482","https://openalex.org/W2005363872","https://openalex.org/W2017692864","https://openalex.org/W2026916581","https://openalex.org/W2028102681","https://openalex.org/W2032835894","https://openalex.org/W2044084385","https://openalex.org/W2052271668","https://openalex.org/W2054662916","https://openalex.org/W2059436145","https://openalex.org/W2060528584","https://openalex.org/W2067924344","https://openalex.org/W2075868810","https://openalex.org/W2085427268","https://openalex.org/W2087164036","https://openalex.org/W2093840265","https://openalex.org/W2110892728","https://openalex.org/W2136602340","https://openalex.org/W2163637155","https://openalex.org/W2164165295","https://openalex.org/W2171029115","https://openalex.org/W2264222463","https://openalex.org/W2476226693","https://openalex.org/W2614813786","https://openalex.org/W2615914141","https://openalex.org/W2804740394","https://openalex.org/W2945135758","https://openalex.org/W4206139584","https://openalex.org/W4213171696","https://openalex.org/W4237171445","https://openalex.org/W4241550261"],"related_works":["https://openalex.org/W2517755966","https://openalex.org/W3215394929","https://openalex.org/W3038021552","https://openalex.org/W2108001913","https://openalex.org/W2789381754","https://openalex.org/W2014910883","https://openalex.org/W3158222746","https://openalex.org/W2998325883","https://openalex.org/W2811262943","https://openalex.org/W2920091679"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}