{"id":"https://openalex.org/W4415348698","doi":"https://doi.org/10.48550/arxiv.2507.05091","title":"Model Order Reduction Techniques for the Stochastic Finite Volume Method","display_name":"Model Order Reduction Techniques for the Stochastic Finite Volume Method","publication_year":2025,"publication_date":"2025-07-07","ids":{"openalex":"https://openalex.org/W4415348698","doi":"https://doi.org/10.48550/arxiv.2507.05091"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2507.05091","is_oa":true,"landing_page_url":"https://arxiv.org/abs/2507.05091","pdf_url":"https://arxiv.org/pdf/2507.05091","source":{"id":"https://openalex.org/S4393918464","display_name":"ArXiv.org","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"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":null,"raw_type":"text"},"type":"preprint","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2507.05091","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Qu, Ray","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Qu, Ray","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5018693723","display_name":"Jesse Chan","orcid":"https://orcid.org/0000-0003-2077-3636"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Chan, Jesse","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5111570260","display_name":"Svetlana Tokareva","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Tokareva, Svetlana","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.996399998664856,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.996399998664856,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9945999979972839,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"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":0.9908999800682068,"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/stochastic-modelling","display_name":"Stochastic modelling","score":0.49399998784065247},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.4634999930858612},{"id":"https://openalex.org/keywords/finite-volume-method","display_name":"Finite volume method","score":0.45680001378059387},{"id":"https://openalex.org/keywords/model-order-reduction","display_name":"Model order reduction","score":0.4390000104904175},{"id":"https://openalex.org/keywords/stochastic-process","display_name":"Stochastic process","score":0.4147999882698059},{"id":"https://openalex.org/keywords/volume","display_name":"Volume (thermodynamics)","score":0.39719998836517334},{"id":"https://openalex.org/keywords/stochastic-optimization","display_name":"Stochastic optimization","score":0.34549999237060547},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.33719998598098755}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5109000205993652},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5074999928474426},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5040000081062317},{"id":"https://openalex.org/C127491075","wikidata":"https://www.wikidata.org/wiki/Q7617825","display_name":"Stochastic modelling","level":2,"score":0.49399998784065247},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.4634999930858612},{"id":"https://openalex.org/C50478463","wikidata":"https://www.wikidata.org/wiki/Q1401936","display_name":"Finite volume method","level":2,"score":0.45680001378059387},{"id":"https://openalex.org/C2779277453","wikidata":"https://www.wikidata.org/wiki/Q12202921","display_name":"Model order reduction","level":3,"score":0.4390000104904175},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.4147999882698059},{"id":"https://openalex.org/C20556612","wikidata":"https://www.wikidata.org/wiki/Q4469374","display_name":"Volume (thermodynamics)","level":2,"score":0.39719998836517334},{"id":"https://openalex.org/C194387892","wikidata":"https://www.wikidata.org/wiki/Q1747770","display_name":"Stochastic optimization","level":2,"score":0.34549999237060547},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.33719998598098755},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.33390000462532043},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.3287000060081482},{"id":"https://openalex.org/C170131372","wikidata":"https://www.wikidata.org/wiki/Q7617811","display_name":"Stochastic control","level":3,"score":0.32659998536109924},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.31630000472068787},{"id":"https://openalex.org/C32230216","wikidata":"https://www.wikidata.org/wiki/Q7882499","display_name":"Uncertainty quantification","level":2,"score":0.30660000443458557},{"id":"https://openalex.org/C66024118","wikidata":"https://www.wikidata.org/wiki/Q1122506","display_name":"Computational model","level":2,"score":0.2669999897480011},{"id":"https://openalex.org/C111030470","wikidata":"https://www.wikidata.org/wiki/Q1430460","display_name":"Curse of dimensionality","level":2,"score":0.26330000162124634},{"id":"https://openalex.org/C158535547","wikidata":"https://www.wikidata.org/wiki/Q5165437","display_name":"Continuous-time stochastic process","level":3,"score":0.260699987411499},{"id":"https://openalex.org/C162392398","wikidata":"https://www.wikidata.org/wiki/Q272404","display_name":"Finite set","level":2,"score":0.25540000200271606}],"mesh":[],"locations_count":5,"locations":[{"id":"pmh:oai:arXiv.org:2507.05091","is_oa":true,"landing_page_url":"https://arxiv.org/abs/2507.05091","pdf_url":"https://arxiv.org/pdf/2507.05091","source":{"id":"https://openalex.org/S4393918464","display_name":"ArXiv.org","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"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":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2507.05091","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2507.05091","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"},{"id":"doi:10.5281/zenodo.17517368","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.17517368","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"},{"id":"doi:10.5281/zenodo.17517369","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.17517369","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"},{"id":"doi:10.5281/zenodo.20078745","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.20078745","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2507.05091","is_oa":true,"landing_page_url":"https://arxiv.org/abs/2507.05091","pdf_url":"https://arxiv.org/pdf/2507.05091","source":{"id":"https://openalex.org/S4393918464","display_name":"ArXiv.org","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"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":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1321785787","display_name":"RTG: Numerical Mathematics and Scientific Computing","funder_award_id":"2231482","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G2400256957","display_name":null,"funder_award_id":"1943186","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G2422937150","display_name":null,"funder_award_id":"DMS-2231482","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6273146589","display_name":null,"funder_award_id":"DMS-1943186","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8895027089","display_name":null,"funder_award_id":"20250032DR","funder_id":"https://openalex.org/F4320338304","funder_display_name":"Los Alamos National Laboratory"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320306084","display_name":"U.S. Department of Energy","ror":"https://ror.org/01bj3aw27"},{"id":"https://openalex.org/F4320332369","display_name":"National Nuclear Security Administration","ror":"https://ror.org/03sk1we31"},{"id":"https://openalex.org/F4320337547","display_name":"Laboratory Directed Research and Development","ror":"https://ror.org/01e41cf67"},{"id":"https://openalex.org/F4320338304","display_name":"Los Alamos National Laboratory","ror":"https://ror.org/01e41cf67"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4415348698.pdf","grobid_xml":"https://content.openalex.org/works/W4415348698.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"The":[0],"stochastic":[1,30,57,95],"finite":[2],"volume":[3],"method":[4,11,26,77],"(SFV":[5],"method)":[6],"is":[7],"a":[8,71],"high-order":[9],"accurate":[10],"for":[12,28,93],"uncertainty":[13],"quantification":[14],"(UQ)":[15],"in":[16,59],"hyperbolic":[17],"conservation":[18],"laws.":[19],"However,":[20],"the":[21,35,53,60],"computational":[22,88],"cost":[23,54,89],"of":[24,37,55],"SFV":[25,61],"increases":[27],"high-dimensional":[29,94],"parameter":[31,96],"spaces":[32],"due":[33],"to":[34],"curse":[36],"dimensionality.":[38],"To":[39],"address":[40],"this":[41,83],"challenge,":[42],"we":[43],"incorporate":[44],"interpolation-based":[45],"reduced":[46],"order":[47],"model":[48],"(ROM)":[49],"techniques":[50],"that":[51,82],"reduce":[52],"computing":[56],"integrals":[58],"method.":[62],"Further":[63],"efficiency":[64],"gains":[65],"are":[66],"achieved":[67],"through":[68],"hyper-reduction":[69],"with":[70],"QR":[72],"factorization-based":[73],"discrete":[74],"empirical":[75],"interpolation":[76],"(Q-DEIM).":[78],"Numerical":[79],"experiments":[80],"suggest":[81],"approach":[84],"can":[85],"lower":[86],"both":[87],"and":[90],"memory":[91],"requirements":[92],"spaces.":[97]},"counts_by_year":[],"updated_date":"2026-05-22T09:01:20.584952","created_date":"2025-10-20T00:00:00"}
