{"id":"https://openalex.org/W4414546785","doi":"https://doi.org/10.1137/24m171084x","title":"Fourth- and Higher-Order Semi-Lagrangian Finite Volume Methods for the Two-Dimensional Advection Equation on Arbitrarily Complex Domains","display_name":"Fourth- and Higher-Order Semi-Lagrangian Finite Volume Methods for the Two-Dimensional Advection Equation on Arbitrarily Complex Domains","publication_year":2025,"publication_date":"2025-09-26","ids":{"openalex":"https://openalex.org/W4414546785","doi":"https://doi.org/10.1137/24m171084x"},"language":"en","primary_location":{"id":"doi:10.1137/24m171084x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/24m171084x","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"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 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/A5108494342","display_name":"Yunxia Sun","orcid":null},"institutions":[{"id":"https://openalex.org/I96908189","display_name":"Xinjiang University","ror":"https://ror.org/059gw8r13","country_code":"CN","type":"education","lineage":["https://openalex.org/I96908189"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yunxia Sun","raw_affiliation_strings":["College of Mathematics and System Science, Xinjiang University, Urumqi, Xinjiang Province, 830046 China"],"raw_orcid":"https://orcid.org/0009-0002-6808-4653","affiliations":[{"raw_affiliation_string":"College of Mathematics and System Science, Xinjiang University, Urumqi, Xinjiang Province, 830046 China","institution_ids":["https://openalex.org/I96908189"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Kaiyi Liang","orcid":"https://orcid.org/0000-0001-6277-1407"},"institutions":[{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Kaiyi Liang","raw_affiliation_strings":["School of Mathematical Sciences, Zhejiang University, Hangzhou, Zhejiang Province, 310058 China"],"raw_orcid":"https://orcid.org/0000-0001-6277-1407","affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Zhejiang University, Hangzhou, Zhejiang Province, 310058 China","institution_ids":["https://openalex.org/I76130692"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5081353358","display_name":"Yuke Zhu","orcid":"https://orcid.org/0009-0006-7555-3664"},"institutions":[{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yuke Zhu","raw_affiliation_strings":["School of Mathematical Sciences, Zhejiang University, Hangzhou, Zhejiang Province, 310058 China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Zhejiang University, Hangzhou, Zhejiang Province, 310058 China","institution_ids":["https://openalex.org/I76130692"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5112119266","display_name":"Lin Zhi","orcid":"https://orcid.org/0009-0004-5829-3771"},"institutions":[{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhi Lin","raw_affiliation_strings":["School of Mathematical Sciences, Zhejiang University, Hangzhou, Zhejiang Province, 310058 China"],"raw_orcid":"https://orcid.org/0009-0004-5829-3771","affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Zhejiang University, Hangzhou, Zhejiang Province, 310058 China","institution_ids":["https://openalex.org/I76130692"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5051920590","display_name":"Qinghai Zhang","orcid":"https://orcid.org/0000-0002-3655-4190"},"institutions":[{"id":"https://openalex.org/I96908189","display_name":"Xinjiang University","ror":"https://ror.org/059gw8r13","country_code":"CN","type":"education","lineage":["https://openalex.org/I96908189"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qinghai Zhang","raw_affiliation_strings":["Corresponding author.\u00a0College of Mathematics and System Science, Xinjiang University, Urumqi, Xinjiang Province, 830046 China, and School of Mathematical Sciences, Zhejiang University, Hangzhou, Zhejiang Province, 310058 China"],"raw_orcid":"https://orcid.org/0000-0002-3655-4190","affiliations":[{"raw_affiliation_string":"Corresponding author.\u00a0College of Mathematics and System Science, Xinjiang University, Urumqi, Xinjiang Province, 830046 China, and School of Mathematical Sciences, Zhejiang University, Hangzhou, Zhejiang Province, 310058 China","institution_ids":["https://openalex.org/I96908189"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.24184921,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"47","issue":"5","first_page":"A2722","last_page":"A2745"},"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9994000196456909,"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":0.9976000189781189,"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/finite-volume-method","display_name":"Finite volume method","score":0.49549999833106995},{"id":"https://openalex.org/keywords/advection","display_name":"Advection","score":0.3785000145435333},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.3716000020503998},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.34389999508857727},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.33219999074935913},{"id":"https://openalex.org/keywords/heat-equation","display_name":"Heat equation","score":0.3264000117778778},{"id":"https://openalex.org/keywords/finite-difference-method","display_name":"Finite difference method","score":0.3149000108242035}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.739799976348877},{"id":"https://openalex.org/C50478463","wikidata":"https://www.wikidata.org/wiki/Q1401936","display_name":"Finite volume method","level":2,"score":0.49549999833106995},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4936000108718872},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.38359999656677246},{"id":"https://openalex.org/C5072599","wikidata":"https://www.wikidata.org/wiki/Q379788","display_name":"Advection","level":2,"score":0.3785000145435333},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.3716000020503998},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.34389999508857727},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.33219999074935913},{"id":"https://openalex.org/C202787564","wikidata":"https://www.wikidata.org/wiki/Q6510488","display_name":"Heat equation","level":2,"score":0.3264000117778778},{"id":"https://openalex.org/C205951836","wikidata":"https://www.wikidata.org/wiki/Q1147751","display_name":"Finite difference method","level":2,"score":0.3149000108242035},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.3109999895095825},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.3068000078201294},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.295199990272522},{"id":"https://openalex.org/C181330731","wikidata":"https://www.wikidata.org/wiki/Q2068418","display_name":"Finite difference","level":2,"score":0.28929999470710754},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.28299999237060547},{"id":"https://openalex.org/C2988766672","wikidata":"https://www.wikidata.org/wiki/Q1147751","display_name":"Finite difference scheme","level":2,"score":0.273499995470047},{"id":"https://openalex.org/C20556612","wikidata":"https://www.wikidata.org/wiki/Q4469374","display_name":"Volume (thermodynamics)","level":2,"score":0.2687000036239624},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.2639999985694885}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/24m171084x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/24m171084x","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"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 Scientific Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1282887804","display_name":null,"funder_award_id":"12272346","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3155074394","display_name":null,"funder_award_id":"12090020","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7274783319","display_name":null,"funder_award_id":"12071429","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":41,"referenced_works":["https://openalex.org/W1967515013","https://openalex.org/W1983195644","https://openalex.org/W1994437614","https://openalex.org/W2002792909","https://openalex.org/W2004511551","https://openalex.org/W2008024066","https://openalex.org/W2015892502","https://openalex.org/W2017764138","https://openalex.org/W2022113824","https://openalex.org/W2026836732","https://openalex.org/W2028460461","https://openalex.org/W2029573175","https://openalex.org/W2033318187","https://openalex.org/W2034841351","https://openalex.org/W2039150507","https://openalex.org/W2047287212","https://openalex.org/W2055237935","https://openalex.org/W2061376823","https://openalex.org/W2073945818","https://openalex.org/W2085471512","https://openalex.org/W2088015249","https://openalex.org/W2134312489","https://openalex.org/W2134763426","https://openalex.org/W2143575988","https://openalex.org/W2161694504","https://openalex.org/W2169507758","https://openalex.org/W2181920740","https://openalex.org/W2506950538","https://openalex.org/W2583031093","https://openalex.org/W2900537138","https://openalex.org/W3008829513","https://openalex.org/W3110038039","https://openalex.org/W3169708052","https://openalex.org/W3216622575","https://openalex.org/W4205439928","https://openalex.org/W4225007675","https://openalex.org/W4297181086","https://openalex.org/W4382933593","https://openalex.org/W4393268446","https://openalex.org/W4403923072","https://openalex.org/W4404361217"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
