{"id":"https://openalex.org/W2084672236","doi":"https://doi.org/10.1007/s10915-013-9731-y","title":"On Adaptive Eulerian\u2013Lagrangian Method for Linear Convection\u2013Diffusion Problems","display_name":"On Adaptive Eulerian\u2013Lagrangian Method for Linear Convection\u2013Diffusion Problems","publication_year":2013,"publication_date":"2013-06-01","ids":{"openalex":"https://openalex.org/W2084672236","doi":"https://doi.org/10.1007/s10915-013-9731-y","mag":"2084672236"},"language":"en","primary_location":{"id":"doi:10.1007/s10915-013-9731-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-013-9731-y","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/A5029270343","display_name":"Xiaozhe Hu","orcid":"https://orcid.org/0000-0001-7533-0416"},"institutions":[{"id":"https://openalex.org/I10660446","display_name":"Kunming University of Science and Technology","ror":"https://ror.org/00xyeez13","country_code":"CN","type":"education","lineage":["https://openalex.org/I10660446"]},{"id":"https://openalex.org/I130769515","display_name":"Pennsylvania State University","ror":"https://ror.org/04p491231","country_code":"US","type":"education","lineage":["https://openalex.org/I130769515"]}],"countries":["CN","US"],"is_corresponding":true,"raw_author_name":"Xiaozhe Hu","raw_affiliation_strings":["Department of Engineering Mechanics, Kunming University of Science and Technology, Kunming, China","Department of Mathematics, The Pennsylvania State University, University Park, PA, 16802, USA"],"affiliations":[{"raw_affiliation_string":"Department of Engineering Mechanics, Kunming University of Science and Technology, Kunming, China","institution_ids":["https://openalex.org/I10660446"]},{"raw_affiliation_string":"Department of Mathematics, The Pennsylvania State University, University Park, PA, 16802, USA","institution_ids":["https://openalex.org/I130769515"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100742029","display_name":"Young-Ju Lee","orcid":"https://orcid.org/0000-0001-5004-8238"},"institutions":[{"id":"https://openalex.org/I102322142","display_name":"Rutgers, The State University of New Jersey","ror":"https://ror.org/05vt9qd57","country_code":"US","type":"education","lineage":["https://openalex.org/I102322142"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Young-Ju Lee","raw_affiliation_strings":["Department of the Mathematics, Rutgers, The State University of New Jersey, Piscataway, NJ, 08854, USA"],"affiliations":[{"raw_affiliation_string":"Department of the Mathematics, Rutgers, The State University of New Jersey, Piscataway, NJ, 08854, USA","institution_ids":["https://openalex.org/I102322142"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5014166483","display_name":"Jinchao Xu","orcid":"https://orcid.org/0000-0002-1530-6913"},"institutions":[{"id":"https://openalex.org/I130769515","display_name":"Pennsylvania State University","ror":"https://ror.org/04p491231","country_code":"US","type":"education","lineage":["https://openalex.org/I130769515"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jinchao Xu","raw_affiliation_strings":["Department of Mathematics, The Pennsylvania State University, University Park, PA, 16802, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, The Pennsylvania State University, University Park, PA, 16802, USA","institution_ids":["https://openalex.org/I130769515"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103156780","display_name":"Chen-Song Zhang","orcid":"https://orcid.org/0000-0002-2213-0899"},"institutions":[{"id":"https://openalex.org/I4210095018","display_name":"National Center for Mathematics and Interdisciplinary Sciences","ror":"https://ror.org/00s97k668","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210095018"]},{"id":"https://openalex.org/I4210120485","display_name":"Academy of Mathematics and Systems Science","ror":"https://ror.org/02jkmyk67","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chen-Song Zhang","raw_affiliation_strings":["NCMIS and LSEC, Academy of Mathematics and System Sciences, Beijing, 100190, China"],"affiliations":[{"raw_affiliation_string":"NCMIS and LSEC, Academy of Mathematics and System Sciences, Beijing, 100190, China","institution_ids":["https://openalex.org/I4210120485","https://openalex.org/I4210095018"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5029270343"],"corresponding_institution_ids":["https://openalex.org/I10660446","https://openalex.org/I130769515"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.7047,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.72931796,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"58","issue":"1","first_page":"90","last_page":"114"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9998999834060669,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9998999834060669,"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9991000294685364,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9976999759674072,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7738904356956482},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.7066372036933899},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.6723581552505493},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.627508819103241},{"id":"https://openalex.org/keywords/residual","display_name":"Residual","score":0.6249321699142456},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.5987294912338257},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.5179478526115417},{"id":"https://openalex.org/keywords/eulerian-path","display_name":"Eulerian path","score":0.48402994871139526},{"id":"https://openalex.org/keywords/convection\u2013diffusion-equation","display_name":"Convection\u2013diffusion equation","score":0.4723083972930908},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.4550202786922455},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.41791674494743347},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3172721266746521},{"id":"https://openalex.org/keywords/lagrangian","display_name":"Lagrangian","score":0.3057173788547516},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2634633779525757},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.08466437458992004}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7738904356956482},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.7066372036933899},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6723581552505493},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.627508819103241},{"id":"https://openalex.org/C155512373","wikidata":"https://www.wikidata.org/wiki/Q287450","display_name":"Residual","level":2,"score":0.6249321699142456},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.5987294912338257},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.5179478526115417},{"id":"https://openalex.org/C43058520","wikidata":"https://www.wikidata.org/wiki/Q624580","display_name":"Eulerian path","level":3,"score":0.48402994871139526},{"id":"https://openalex.org/C17456955","wikidata":"https://www.wikidata.org/wiki/Q343279","display_name":"Convection\u2013diffusion equation","level":2,"score":0.4723083972930908},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4550202786922455},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.41791674494743347},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3172721266746521},{"id":"https://openalex.org/C53469067","wikidata":"https://www.wikidata.org/wiki/Q505735","display_name":"Lagrangian","level":2,"score":0.3057173788547516},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2634633779525757},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.08466437458992004},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10915-013-9731-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-013-9731-y","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:CiteSeerX.psu:10.1.1.764.6783","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.764.6783","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1209.1364.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"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"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":55,"referenced_works":["https://openalex.org/W24460554","https://openalex.org/W184188664","https://openalex.org/W603226872","https://openalex.org/W1589749721","https://openalex.org/W1600448051","https://openalex.org/W1965858564","https://openalex.org/W1970850839","https://openalex.org/W1972391795","https://openalex.org/W1979939295","https://openalex.org/W1992490850","https://openalex.org/W1995404822","https://openalex.org/W2003798742","https://openalex.org/W2006443697","https://openalex.org/W2012938047","https://openalex.org/W2015788535","https://openalex.org/W2019897249","https://openalex.org/W2024619373","https://openalex.org/W2025163266","https://openalex.org/W2025700361","https://openalex.org/W2028230944","https://openalex.org/W2030685662","https://openalex.org/W2033698269","https://openalex.org/W2035179810","https://openalex.org/W2036730999","https://openalex.org/W2038616847","https://openalex.org/W2038626747","https://openalex.org/W2039924562","https://openalex.org/W2041496706","https://openalex.org/W2044670314","https://openalex.org/W2045300345","https://openalex.org/W2064416388","https://openalex.org/W2067951086","https://openalex.org/W2068432368","https://openalex.org/W2069847377","https://openalex.org/W2071036364","https://openalex.org/W2072195412","https://openalex.org/W2072983694","https://openalex.org/W2073897969","https://openalex.org/W2080675731","https://openalex.org/W2082693172","https://openalex.org/W2084743165","https://openalex.org/W2087270837","https://openalex.org/W2089835190","https://openalex.org/W2090105604","https://openalex.org/W2099574546","https://openalex.org/W2107813568","https://openalex.org/W2111625008","https://openalex.org/W2118593747","https://openalex.org/W2122676231","https://openalex.org/W2126762693","https://openalex.org/W2147287144","https://openalex.org/W2328749156","https://openalex.org/W2429258439","https://openalex.org/W2505585705","https://openalex.org/W3133668973"],"related_works":["https://openalex.org/W3027560054","https://openalex.org/W131452667","https://openalex.org/W2074209692","https://openalex.org/W2019529034","https://openalex.org/W2264921256","https://openalex.org/W2238184525","https://openalex.org/W2001110526","https://openalex.org/W4248912222","https://openalex.org/W828409841","https://openalex.org/W4293683879"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
