{"id":"https://openalex.org/W2803792988","doi":"https://doi.org/10.1007/s10915-018-0735-5","title":"Stability Analysis and Error Estimates of Semi-implicit Spectral Deferred Correction Coupled with Local Discontinuous Galerkin Method for Linear Convection\u2013Diffusion Equations","display_name":"Stability Analysis and Error Estimates of Semi-implicit Spectral Deferred Correction Coupled with Local Discontinuous Galerkin Method for Linear Convection\u2013Diffusion Equations","publication_year":2018,"publication_date":"2018-05-17","ids":{"openalex":"https://openalex.org/W2803792988","doi":"https://doi.org/10.1007/s10915-018-0735-5","mag":"2803792988"},"language":"en","primary_location":{"id":"doi:10.1007/s10915-018-0735-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-018-0735-5","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/A5054175249","display_name":"Lingling Zhou","orcid":"https://orcid.org/0000-0001-8395-9783"},"institutions":[{"id":"https://openalex.org/I126520041","display_name":"University of Science and Technology of China","ror":"https://ror.org/04c4dkn09","country_code":"CN","type":"education","lineage":["https://openalex.org/I126520041","https://openalex.org/I19820366"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Lingling Zhou","raw_affiliation_strings":["School of Mathematical Sciences, University of Science and Technology of China, Hefei, 230026, Anhui, People\u2019s Republic of China","School of Mathematical Sciences, University of Science and Technology of China, Hefei, 230026, Anhui, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, University of Science and Technology of China, Hefei, 230026, Anhui, People\u2019s Republic of China","institution_ids":["https://openalex.org/I126520041"]},{"raw_affiliation_string":"School of Mathematical Sciences, University of Science and Technology of China, Hefei, 230026, Anhui, People's Republic of China","institution_ids":["https://openalex.org/I126520041"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5078337531","display_name":"Yan Xu","orcid":"https://orcid.org/0000-0001-6483-4336"},"institutions":[{"id":"https://openalex.org/I126520041","display_name":"University of Science and Technology of China","ror":"https://ror.org/04c4dkn09","country_code":"CN","type":"education","lineage":["https://openalex.org/I126520041","https://openalex.org/I19820366"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yan Xu","raw_affiliation_strings":["School of Mathematical Sciences, University of Science and Technology of China, Hefei, 230026, Anhui, People\u2019s Republic of China","School of Mathematical Sciences, University of Science and Technology of China, Hefei, 230026, Anhui, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, University of Science and Technology of China, Hefei, 230026, Anhui, People\u2019s Republic of China","institution_ids":["https://openalex.org/I126520041"]},{"raw_affiliation_string":"School of Mathematical Sciences, University of Science and Technology of China, Hefei, 230026, Anhui, People's Republic of China","institution_ids":["https://openalex.org/I126520041"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5054175249"],"corresponding_institution_ids":["https://openalex.org/I126520041"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.4155,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.58753142,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"77","issue":"2","first_page":"1001","last_page":"1029"},"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":0.9998000264167786,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9988999962806702,"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/discretization","display_name":"Discretization","score":0.8541311621665955},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8121982216835022},{"id":"https://openalex.org/keywords/backward-euler-method","display_name":"Backward Euler method","score":0.6972267031669617},{"id":"https://openalex.org/keywords/discontinuous-galerkin-method","display_name":"Discontinuous Galerkin method","score":0.6164053678512573},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5683725476264954},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.518036425113678},{"id":"https://openalex.org/keywords/eulers-formula","display_name":"Euler's formula","score":0.5068123936653137},{"id":"https://openalex.org/keywords/convection\u2013diffusion-equation","display_name":"Convection\u2013diffusion equation","score":0.4344385862350464},{"id":"https://openalex.org/keywords/explicit-and-implicit-methods","display_name":"Explicit and implicit methods","score":0.4273332357406616},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.42679888010025024},{"id":"https://openalex.org/keywords/temporal-discretization","display_name":"Temporal discretization","score":0.4212709367275238},{"id":"https://openalex.org/keywords/runge\u2013kutta-methods","display_name":"Runge\u2013Kutta methods","score":0.420149028301239},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.41587594151496887},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.263547420501709},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.1383320391178131},{"id":"https://openalex.org/keywords/method-of-characteristics","display_name":"Method of characteristics","score":0.12890398502349854},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.088573157787323}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.8541311621665955},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8121982216835022},{"id":"https://openalex.org/C768646","wikidata":"https://www.wikidata.org/wiki/Q2736820","display_name":"Backward Euler method","level":3,"score":0.6972267031669617},{"id":"https://openalex.org/C92244383","wikidata":"https://www.wikidata.org/wiki/Q428273","display_name":"Discontinuous Galerkin method","level":3,"score":0.6164053678512573},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5683725476264954},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.518036425113678},{"id":"https://openalex.org/C62884695","wikidata":"https://www.wikidata.org/wiki/Q184871","display_name":"Euler's formula","level":2,"score":0.5068123936653137},{"id":"https://openalex.org/C17456955","wikidata":"https://www.wikidata.org/wiki/Q343279","display_name":"Convection\u2013diffusion equation","level":2,"score":0.4344385862350464},{"id":"https://openalex.org/C149393637","wikidata":"https://www.wikidata.org/wiki/Q5421265","display_name":"Explicit and implicit methods","level":5,"score":0.4273332357406616},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.42679888010025024},{"id":"https://openalex.org/C2778327290","wikidata":"https://www.wikidata.org/wiki/Q17146496","display_name":"Temporal discretization","level":3,"score":0.4212709367275238},{"id":"https://openalex.org/C181582579","wikidata":"https://www.wikidata.org/wiki/Q725944","display_name":"Runge\u2013Kutta methods","level":3,"score":0.420149028301239},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.41587594151496887},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.263547420501709},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.1383320391178131},{"id":"https://openalex.org/C33163149","wikidata":"https://www.wikidata.org/wiki/Q1785085","display_name":"Method of characteristics","level":3,"score":0.12890398502349854},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.088573157787323},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C185184677","wikidata":"https://www.wikidata.org/wiki/Q1366795","display_name":"Exact differential equation","level":4,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10915-018-0735-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-018-0735-5","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"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/13","score":0.8199999928474426,"display_name":"Climate action"}],"awards":[{"id":"https://openalex.org/G487156038","display_name":null,"funder_award_id":"No. 11722112","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7953310961","display_name":null,"funder_award_id":"91630207","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":35,"referenced_works":["https://openalex.org/W140909251","https://openalex.org/W1583515859","https://openalex.org/W1970213140","https://openalex.org/W1976906776","https://openalex.org/W1982465309","https://openalex.org/W1993923624","https://openalex.org/W1994099903","https://openalex.org/W1996082552","https://openalex.org/W2010094764","https://openalex.org/W2011854838","https://openalex.org/W2012938047","https://openalex.org/W2019216685","https://openalex.org/W2019767773","https://openalex.org/W2021574582","https://openalex.org/W2031440284","https://openalex.org/W2041523977","https://openalex.org/W2054420328","https://openalex.org/W2065188344","https://openalex.org/W2065908448","https://openalex.org/W2068634975","https://openalex.org/W2073962527","https://openalex.org/W2079263908","https://openalex.org/W2081377160","https://openalex.org/W2085961649","https://openalex.org/W2099659360","https://openalex.org/W2139494815","https://openalex.org/W2169437869","https://openalex.org/W2293922163","https://openalex.org/W2324487000","https://openalex.org/W2472513481","https://openalex.org/W2581898283","https://openalex.org/W2594883288","https://openalex.org/W3100511478","https://openalex.org/W4210300254","https://openalex.org/W4233665781"],"related_works":["https://openalex.org/W2349121885","https://openalex.org/W1982032924","https://openalex.org/W4298287745","https://openalex.org/W181177096","https://openalex.org/W2949826017","https://openalex.org/W2012702868","https://openalex.org/W2587345220","https://openalex.org/W2373806316","https://openalex.org/W2088005785","https://openalex.org/W2301897886"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
