{"id":"https://openalex.org/W2113287703","doi":"https://doi.org/10.1007/s10589-014-9655-y","title":"An Eulerian\u2013Lagrangian method for optimization problems governed by multidimensional nonlinear hyperbolic PDEs","display_name":"An Eulerian\u2013Lagrangian method for optimization problems governed by multidimensional nonlinear hyperbolic PDEs","publication_year":2014,"publication_date":"2014-04-01","ids":{"openalex":"https://openalex.org/W2113287703","doi":"https://doi.org/10.1007/s10589-014-9655-y","mag":"2113287703"},"language":"en","primary_location":{"id":"doi:10.1007/s10589-014-9655-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10589-014-9655-y","pdf_url":null,"source":{"id":"https://openalex.org/S39243548","display_name":"Computational Optimization and Applications","issn_l":"0926-6003","issn":["0926-6003","1573-2894"],"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":"Computational Optimization and Applications","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/A5045555983","display_name":"Alina Chertock","orcid":"https://orcid.org/0000-0003-4978-1314"},"institutions":[{"id":"https://openalex.org/I137902535","display_name":"North Carolina State University","ror":"https://ror.org/04tj63d06","country_code":"US","type":"education","lineage":["https://openalex.org/I137902535"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Alina Chertock","raw_affiliation_strings":["Department of Mathematics, North Carolina State University, Raleigh, NC, 27695, USA","Department of Mathematics, North Carolina State University, Raleigh, USA 27695"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, North Carolina State University, Raleigh, NC, 27695, USA","institution_ids":["https://openalex.org/I137902535"]},{"raw_affiliation_string":"Department of Mathematics, North Carolina State University, Raleigh, USA 27695","institution_ids":["https://openalex.org/I137902535"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5030773854","display_name":"Micha\u00ebl Herty","orcid":"https://orcid.org/0000-0002-6262-2927"},"institutions":[{"id":"https://openalex.org/I887968799","display_name":"RWTH Aachen University","ror":"https://ror.org/04xfq0f34","country_code":"DE","type":"education","lineage":["https://openalex.org/I887968799"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Michael Herty","raw_affiliation_strings":["Department of Mathematics, RWTH Aachen University, Templergraben 55, 52056, Aachen, Germany","Department of Mathematics, RWTH Aachen University, Aachen, Germany 52056#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, RWTH Aachen University, Templergraben 55, 52056, Aachen, Germany","institution_ids":["https://openalex.org/I887968799"]},{"raw_affiliation_string":"Department of Mathematics, RWTH Aachen University, Aachen, Germany 52056#TAB#","institution_ids":["https://openalex.org/I887968799"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5091293976","display_name":"Alexander Kurganov","orcid":"https://orcid.org/0000-0003-0231-986X"},"institutions":[{"id":"https://openalex.org/I114832834","display_name":"Tulane University","ror":"https://ror.org/04vmvtb21","country_code":"US","type":"education","lineage":["https://openalex.org/I114832834"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Alexander Kurganov","raw_affiliation_strings":["Mathematics Department, Tulane University, New Orleans, LA, 70118, USA","Mathematics Department, Tulane University, New Orleans, USA 70118#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematics Department, Tulane University, New Orleans, LA, 70118, USA","institution_ids":["https://openalex.org/I114832834"]},{"raw_affiliation_string":"Mathematics Department, Tulane University, New Orleans, USA 70118#TAB#","institution_ids":["https://openalex.org/I114832834"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5030773854"],"corresponding_institution_ids":["https://openalex.org/I887968799"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.9319,"has_fulltext":false,"cited_by_count":20,"citation_normalized_percentile":{"value":0.85287401,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"59","issue":"3","first_page":"689","last_page":"724"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9998000264167786,"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/T11012","display_name":"Gas Dynamics and Kinetic Theory","score":0.9925000071525574,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9923999905586243,"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":0.8434425592422485},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6353495121002197},{"id":"https://openalex.org/keywords/eulerian-path","display_name":"Eulerian path","score":0.5959904789924622},{"id":"https://openalex.org/keywords/hyperbolic-partial-differential-equation","display_name":"Hyperbolic partial differential equation","score":0.5859194993972778},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.5840948820114136},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5835635662078857},{"id":"https://openalex.org/keywords/adjoint-equation","display_name":"Adjoint equation","score":0.5408378839492798},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.4666925072669983},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.44163891673088074},{"id":"https://openalex.org/keywords/finite-volume-method","display_name":"Finite volume method","score":0.4338729977607727},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.43371981382369995},{"id":"https://openalex.org/keywords/conservation-law","display_name":"Conservation law","score":0.42102357745170593},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.40050914883613586},{"id":"https://openalex.org/keywords/lagrangian","display_name":"Lagrangian","score":0.2623661160469055},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.22683480381965637},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09998288750648499}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8434425592422485},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6353495121002197},{"id":"https://openalex.org/C43058520","wikidata":"https://www.wikidata.org/wiki/Q624580","display_name":"Eulerian path","level":3,"score":0.5959904789924622},{"id":"https://openalex.org/C111615704","wikidata":"https://www.wikidata.org/wiki/Q2627459","display_name":"Hyperbolic partial differential equation","level":3,"score":0.5859194993972778},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.5840948820114136},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5835635662078857},{"id":"https://openalex.org/C165551260","wikidata":"https://www.wikidata.org/wiki/Q4428962","display_name":"Adjoint equation","level":3,"score":0.5408378839492798},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.4666925072669983},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.44163891673088074},{"id":"https://openalex.org/C50478463","wikidata":"https://www.wikidata.org/wiki/Q1401936","display_name":"Finite volume method","level":2,"score":0.4338729977607727},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.43371981382369995},{"id":"https://openalex.org/C3445786","wikidata":"https://www.wikidata.org/wiki/Q205805","display_name":"Conservation law","level":2,"score":0.42102357745170593},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.40050914883613586},{"id":"https://openalex.org/C53469067","wikidata":"https://www.wikidata.org/wiki/Q505735","display_name":"Lagrangian","level":2,"score":0.2623661160469055},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.22683480381965637},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09998288750648499},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"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":3,"locations":[{"id":"doi:10.1007/s10589-014-9655-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10589-014-9655-y","pdf_url":null,"source":{"id":"https://openalex.org/S39243548","display_name":"Computational Optimization and Applications","issn_l":"0926-6003","issn":["0926-6003","1573-2894"],"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":"Computational Optimization and Applications","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:coopap:v:59:y:2014:i:3:p:689-724","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1007/s10589-014-9655-y","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"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":"article"},{"id":"pmh:oai:publications.rwth-aachen.de:460082","is_oa":false,"landing_page_url":"https://publications.rwth-aachen.de/record/460082","pdf_url":null,"source":{"id":"https://openalex.org/S4306401362","display_name":"RWTH Publications (RWTH Aachen)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I887968799","host_organization_name":"RWTH Aachen University","host_organization_lineage":["https://openalex.org/I887968799"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Computational optimization and applications 59(3), 689-724 (2014). doi:10.1007/s10589-014-9655-y","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":44,"referenced_works":["https://openalex.org/W125703668","https://openalex.org/W166683600","https://openalex.org/W199376029","https://openalex.org/W1489753407","https://openalex.org/W1497750339","https://openalex.org/W1507478338","https://openalex.org/W1526321517","https://openalex.org/W1539037864","https://openalex.org/W1968156414","https://openalex.org/W1968280931","https://openalex.org/W1971728915","https://openalex.org/W1975706278","https://openalex.org/W1993810169","https://openalex.org/W1997378389","https://openalex.org/W2008076987","https://openalex.org/W2008809901","https://openalex.org/W2027619967","https://openalex.org/W2032119807","https://openalex.org/W2042336927","https://openalex.org/W2043057066","https://openalex.org/W2045873226","https://openalex.org/W2048914028","https://openalex.org/W2053224369","https://openalex.org/W2060476266","https://openalex.org/W2070533863","https://openalex.org/W2080202186","https://openalex.org/W2085505887","https://openalex.org/W2090829125","https://openalex.org/W2098101757","https://openalex.org/W2098132613","https://openalex.org/W2099589331","https://openalex.org/W2112548197","https://openalex.org/W2113687981","https://openalex.org/W2116267936","https://openalex.org/W2116729868","https://openalex.org/W2123224804","https://openalex.org/W2133015336","https://openalex.org/W2139737621","https://openalex.org/W2141165361","https://openalex.org/W2146898032","https://openalex.org/W2156669471","https://openalex.org/W2157862867","https://openalex.org/W4214623754","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W3048332761","https://openalex.org/W2985995409","https://openalex.org/W2804047031","https://openalex.org/W4366835705","https://openalex.org/W2034363746","https://openalex.org/W1995118522","https://openalex.org/W2792985587","https://openalex.org/W2260009022","https://openalex.org/W2053763547","https://openalex.org/W4236753461"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":1}],"updated_date":"2026-06-19T17:40:00.097472","created_date":"2025-10-10T00:00:00"}
