{"id":"https://openalex.org/W3200026895","doi":"https://doi.org/10.1007/s40314-021-01594-4","title":"Conservative characteristic finite difference method based on ENO and WENO interpolation for 2D convection\u2013diffusion equations","display_name":"Conservative characteristic finite difference method based on ENO and WENO interpolation for 2D convection\u2013diffusion equations","publication_year":2021,"publication_date":"2021-08-04","ids":{"openalex":"https://openalex.org/W3200026895","doi":"https://doi.org/10.1007/s40314-021-01594-4","mag":"3200026895"},"language":"en","primary_location":{"id":"doi:10.1007/s40314-021-01594-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-021-01594-4","pdf_url":null,"source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"1807-0302","issn":["1807-0302","2238-3603"],"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 and Applied Mathematics","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/A5088212826","display_name":"Tongtong Hang","orcid":null},"institutions":[{"id":"https://openalex.org/I154099455","display_name":"Shandong University","ror":"https://ror.org/0207yh398","country_code":"CN","type":"education","lineage":["https://openalex.org/I154099455"]},{"id":"https://openalex.org/I74485261","display_name":"Shandong Agricultural University","ror":"https://ror.org/02ke8fw32","country_code":"CN","type":"education","lineage":["https://openalex.org/I74485261"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Tongtong Hang","raw_affiliation_strings":["School of Information Science and Engineering, Shandong Agricultural University, Taian, Shandong, 271018, China","School of Mathematics, Shandong University, Jinan, Shandong, 250100, China"],"affiliations":[{"raw_affiliation_string":"School of Information Science and Engineering, Shandong Agricultural University, Taian, Shandong, 271018, China","institution_ids":["https://openalex.org/I74485261"]},{"raw_affiliation_string":"School of Mathematics, Shandong University, Jinan, Shandong, 250100, China","institution_ids":["https://openalex.org/I154099455"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071805858","display_name":"Yuxiao Zhai","orcid":null},"institutions":[{"id":"https://openalex.org/I154099455","display_name":"Shandong University","ror":"https://ror.org/0207yh398","country_code":"CN","type":"education","lineage":["https://openalex.org/I154099455"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yuxiao Zhai","raw_affiliation_strings":["School of Mathematics, Shandong University, Jinan, Shandong, 250100, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, Shandong University, Jinan, Shandong, 250100, China","institution_ids":["https://openalex.org/I154099455"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029962043","display_name":"Zhongguo Zhou","orcid":"https://orcid.org/0000-0001-9009-3404"},"institutions":[{"id":"https://openalex.org/I154099455","display_name":"Shandong University","ror":"https://ror.org/0207yh398","country_code":"CN","type":"education","lineage":["https://openalex.org/I154099455"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zhongguo Zhou","raw_affiliation_strings":["School of Mathematics, Shandong University, Jinan, Shandong, 250100, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, Shandong University, Jinan, Shandong, 250100, China","institution_ids":["https://openalex.org/I154099455"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100542054","display_name":"Wenjun Zhao","orcid":"https://orcid.org/0009-0000-1968-5271"},"institutions":[{"id":"https://openalex.org/I154099455","display_name":"Shandong University","ror":"https://ror.org/0207yh398","country_code":"CN","type":"education","lineage":["https://openalex.org/I154099455"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Wenjun Zhao","raw_affiliation_strings":["School of Mathematics, Shandong University, Jinan, Shandong, 250100, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, Shandong University, Jinan, Shandong, 250100, China","institution_ids":["https://openalex.org/I154099455"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5029962043","https://openalex.org/A5071805858","https://openalex.org/A5088212826","https://openalex.org/A5100542054"],"corresponding_institution_ids":["https://openalex.org/I154099455","https://openalex.org/I74485261"],"apc_list":null,"apc_paid":null,"fwci":1.2409,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.77300337,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"40","issue":"6","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9998000264167786,"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9994999766349792,"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":0.9983000159263611,"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/convection\u2013diffusion-equation","display_name":"Convection\u2013diffusion equation","score":0.6779847145080566},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.65923011302948},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.5879964828491211},{"id":"https://openalex.org/keywords/divergence","display_name":"Divergence (linguistics)","score":0.5847288370132446},{"id":"https://openalex.org/keywords/term","display_name":"Term (time)","score":0.5551425218582153},{"id":"https://openalex.org/keywords/convection","display_name":"Convection","score":0.5542579293251038},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5287313461303711},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5084173083305359},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.4917459785938263},{"id":"https://openalex.org/keywords/finite-difference","display_name":"Finite difference","score":0.4691898822784424},{"id":"https://openalex.org/keywords/polygon-mesh","display_name":"Polygon mesh","score":0.4639059901237488},{"id":"https://openalex.org/keywords/finite-difference-method","display_name":"Finite difference method","score":0.45791876316070557},{"id":"https://openalex.org/keywords/conservation-of-mass","display_name":"Conservation of mass","score":0.4398260712623596},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.4312545657157898},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.39717987179756165},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.25460541248321533},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.22348827123641968},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.17966729402542114},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1626710593700409},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.07829812169075012},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.07368212938308716}],"concepts":[{"id":"https://openalex.org/C17456955","wikidata":"https://www.wikidata.org/wiki/Q343279","display_name":"Convection\u2013diffusion equation","level":2,"score":0.6779847145080566},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.65923011302948},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.5879964828491211},{"id":"https://openalex.org/C207390915","wikidata":"https://www.wikidata.org/wiki/Q1230525","display_name":"Divergence (linguistics)","level":2,"score":0.5847288370132446},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.5551425218582153},{"id":"https://openalex.org/C10899652","wikidata":"https://www.wikidata.org/wiki/Q160329","display_name":"Convection","level":2,"score":0.5542579293251038},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5287313461303711},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5084173083305359},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.4917459785938263},{"id":"https://openalex.org/C181330731","wikidata":"https://www.wikidata.org/wiki/Q2068418","display_name":"Finite difference","level":2,"score":0.4691898822784424},{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.4639059901237488},{"id":"https://openalex.org/C205951836","wikidata":"https://www.wikidata.org/wiki/Q1147751","display_name":"Finite difference method","level":2,"score":0.45791876316070557},{"id":"https://openalex.org/C157206272","wikidata":"https://www.wikidata.org/wiki/Q483948","display_name":"Conservation of mass","level":2,"score":0.4398260712623596},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4312545657157898},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.39717987179756165},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.25460541248321533},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.22348827123641968},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.17966729402542114},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1626710593700409},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.07829812169075012},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.07368212938308716},{"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/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s40314-021-01594-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-021-01594-4","pdf_url":null,"source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"1807-0302","issn":["1807-0302","2238-3603"],"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 and Applied Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Life in Land","id":"https://metadata.un.org/sdg/15","score":0.5400000214576721}],"awards":[{"id":"https://openalex.org/G2106679798","display_name":null,"funder_award_id":"xxxy201704","funder_id":"https://openalex.org/F4320322532","funder_display_name":"Shandong Agricultural University"},{"id":"https://openalex.org/G739448733","display_name":null,"funder_award_id":"61703250","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"},{"id":"https://openalex.org/F4320322532","display_name":"Shandong Agricultural University","ror":"https://ror.org/02ke8fw32"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W1965623976","https://openalex.org/W1972822338","https://openalex.org/W1983142219","https://openalex.org/W1989576386","https://openalex.org/W2006835925","https://openalex.org/W2008866046","https://openalex.org/W2014323637","https://openalex.org/W2015513285","https://openalex.org/W2028230944","https://openalex.org/W2039150507","https://openalex.org/W2045849310","https://openalex.org/W2052167222","https://openalex.org/W2054662916","https://openalex.org/W2073945818","https://openalex.org/W2136162522","https://openalex.org/W2212739564","https://openalex.org/W2368636102","https://openalex.org/W2370448717","https://openalex.org/W2380745054","https://openalex.org/W2383168074","https://openalex.org/W2558474231","https://openalex.org/W2593049247","https://openalex.org/W2892353119","https://openalex.org/W2940906015","https://openalex.org/W2951352822","https://openalex.org/W2976494473","https://openalex.org/W2989106239","https://openalex.org/W3025304207","https://openalex.org/W3095435748","https://openalex.org/W3107467672","https://openalex.org/W3124407005"],"related_works":["https://openalex.org/W2330640442","https://openalex.org/W1544816068","https://openalex.org/W1975234065","https://openalex.org/W2392533133","https://openalex.org/W2617981106","https://openalex.org/W4251142058","https://openalex.org/W1965041963","https://openalex.org/W2007426143","https://openalex.org/W2384221708","https://openalex.org/W2171402820"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
