{"id":"https://openalex.org/W2789683185","doi":"https://doi.org/10.1137/16m1086388","title":"A MultiOrder Discontinuous Galerkin Monte Carlo Method for Hyperbolic Problems with Stochastic Parameters","display_name":"A MultiOrder Discontinuous Galerkin Monte Carlo Method for Hyperbolic Problems with Stochastic Parameters","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2789683185","doi":"https://doi.org/10.1137/16m1086388","mag":"2789683185"},"language":"en","primary_location":{"id":"doi:10.1137/16m1086388","is_oa":false,"landing_page_url":"https://doi.org/10.1137/16m1086388","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"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 Numerical Analysis","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/A5047447127","display_name":"Mohammad Motamed","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Mohammad Motamed","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5000111293","display_name":"Daniel Appel\u00f6","orcid":"https://orcid.org/0000-0002-0378-4563"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Daniel Appel\u00f6","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5047447127"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.1319,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.80225537,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"56","issue":"1","first_page":"448","last_page":"468"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9995999932289124,"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":0.9995999932289124,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9941999912261963,"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/T11371","display_name":"Wind and Air Flow Studies","score":0.9937999844551086,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/monte-carlo-method","display_name":"Monte Carlo method","score":0.7306954264640808},{"id":"https://openalex.org/keywords/traverse","display_name":"Traverse","score":0.640305757522583},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6309161186218262},{"id":"https://openalex.org/keywords/discontinuous-galerkin-method","display_name":"Discontinuous Galerkin method","score":0.6116982698440552},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.4771694242954254},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4756569266319275},{"id":"https://openalex.org/keywords/quasi-monte-carlo-method","display_name":"Quasi-Monte Carlo method","score":0.4199385643005371},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.41610878705978394},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3961811065673828},{"id":"https://openalex.org/keywords/hybrid-monte-carlo","display_name":"Hybrid Monte Carlo","score":0.3624826967716217},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3296279311180115},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.23490777611732483},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.22244352102279663},{"id":"https://openalex.org/keywords/markov-chain-monte-carlo","display_name":"Markov chain Monte Carlo","score":0.21998679637908936}],"concepts":[{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.7306954264640808},{"id":"https://openalex.org/C176809094","wikidata":"https://www.wikidata.org/wiki/Q15401496","display_name":"Traverse","level":2,"score":0.640305757522583},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6309161186218262},{"id":"https://openalex.org/C92244383","wikidata":"https://www.wikidata.org/wiki/Q428273","display_name":"Discontinuous Galerkin method","level":3,"score":0.6116982698440552},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.4771694242954254},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4756569266319275},{"id":"https://openalex.org/C63320529","wikidata":"https://www.wikidata.org/wiki/Q7269435","display_name":"Quasi-Monte Carlo method","level":5,"score":0.4199385643005371},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.41610878705978394},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3961811065673828},{"id":"https://openalex.org/C13153151","wikidata":"https://www.wikidata.org/wiki/Q1639846","display_name":"Hybrid Monte Carlo","level":4,"score":0.3624826967716217},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3296279311180115},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.23490777611732483},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.22244352102279663},{"id":"https://openalex.org/C111350023","wikidata":"https://www.wikidata.org/wiki/Q1191869","display_name":"Markov chain Monte Carlo","level":3,"score":0.21998679637908936},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.0},{"id":"https://openalex.org/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/16m1086388","is_oa":false,"landing_page_url":"https://doi.org/10.1137/16m1086388","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"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 Numerical Analysis","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Affordable and clean energy","score":0.75,"id":"https://metadata.un.org/sdg/7"}],"awards":[{"id":"https://openalex.org/G740526295","display_name":null,"funder_award_id":"DMS-1319054","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W1866481951","https://openalex.org/W1966041302","https://openalex.org/W1967117214","https://openalex.org/W2024771618","https://openalex.org/W2036766781","https://openalex.org/W2052271668","https://openalex.org/W2069366742","https://openalex.org/W2083845086","https://openalex.org/W2126980197","https://openalex.org/W2135459060","https://openalex.org/W2143591652","https://openalex.org/W2163715525","https://openalex.org/W2209133793"],"related_works":["https://openalex.org/W2120874885","https://openalex.org/W2162026849","https://openalex.org/W2394687667","https://openalex.org/W2040975642","https://openalex.org/W1548972748","https://openalex.org/W4294677683","https://openalex.org/W4327802989","https://openalex.org/W4367155567","https://openalex.org/W2026465639","https://openalex.org/W2151084831"],"abstract_inverted_index":{"We":[0],"present":[1],"a":[2,28,33,54,64,86,108],"new":[3],"multiorder":[4,83,122,145],"Monte":[5,70,93],"Carlo":[6,94],"algorithm":[7,50],"for":[8,41,96,154],"computing":[9],"the":[10,42,81,90,103,121,144,150],"statistics":[11],"of":[12,15,56,58,105,137],"stochastic":[13,23],"quantities":[14],"interest":[16],"described":[17],"by":[18],"linear":[19],"hyperbolic":[20,97],"problems":[21],"with":[22,107,118],"parameters.":[24],"The":[25,49,139],"method":[26,40,84,95,123],"is":[27,51,85,112,124,147],"nonintrusive":[29],"technique":[30],"based":[31],"on":[32],"recently":[34],"proposed":[35,82],"high-order":[36],"energy-based":[37],"discontinuous":[38],"Galerkin":[39],"second-order":[43],"acoustic":[44],"and":[45,75],"elastic":[46],"wave":[47],"equations.":[48],"built":[52],"upon":[53],"hierarchy":[55,66],"degrees":[57],"polynomial":[59],"basis":[60],"functions":[61],"rather":[62],"than":[63,149],"mesh":[65],"used":[67],"in":[68,100,114,127,134],"multilevel":[69,92,152],"Carlo.":[71],"Through":[72],"complexity":[73],"theorems":[74],"numerical":[76,132,140],"experiments,":[77],"we":[78],"show":[79],"that":[80,143,156],"valid":[87],"alternative":[88],"to":[89,102,131],"current":[91],"problems.":[98],"Moreover,":[99],"addition":[101],"convenience":[104],"working":[106],"fixed":[109],"mesh,":[110],"which":[111],"desirable":[113],"many":[115],"real":[116],"applications":[117],"complex":[119],"geometries,":[120],"particularly":[125],"beneficial":[126],"reducing":[128],"errors":[129],"due":[130],"dispersion":[133],"long-distance":[135],"propagation":[136],"waves.":[138],"examples":[141],"verify":[142],"approach":[146,153],"faster":[148],"mesh-based":[151],"waves":[155],"traverse":[157],"long":[158],"distances.":[159]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
