{"id":"https://openalex.org/W4409893840","doi":"https://doi.org/10.1007/s12190-025-02471-7","title":"Numerical simulation of one-dimensional parabolic problems with moving interfaces by using two second order time-stepping schemes in SGFEM","display_name":"Numerical simulation of one-dimensional parabolic problems with moving interfaces by using two second order time-stepping schemes in SGFEM","publication_year":2025,"publication_date":"2025-04-28","ids":{"openalex":"https://openalex.org/W4409893840","doi":"https://doi.org/10.1007/s12190-025-02471-7"},"language":"en","primary_location":{"id":"doi:10.1007/s12190-025-02471-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12190-025-02471-7","pdf_url":null,"source":{"id":"https://openalex.org/S199913245","display_name":"Journal of Applied Mathematics and Computing","issn_l":"1598-5865","issn":["1598-5865","1865-2085"],"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 Applied Mathematics and 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/A5074019592","display_name":"Pengfei Zhu","orcid":"https://orcid.org/0000-0002-1625-537X"},"institutions":[{"id":"https://openalex.org/I178232147","display_name":"Guizhou University","ror":"https://ror.org/02wmsc916","country_code":"CN","type":"education","lineage":["https://openalex.org/I178232147"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Pengfei Zhu","raw_affiliation_strings":["School of Computer and Information Engineering, Guizhou University of Commerce, Guiyang, Guizhou, 550014, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer and Information Engineering, Guizhou University of Commerce, Guiyang, Guizhou, 550014, China","institution_ids":["https://openalex.org/I178232147"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5119309633","display_name":"Ming Xu","orcid":"https://orcid.org/0000-0003-1976-3238"},"institutions":[{"id":"https://openalex.org/I178232147","display_name":"Guizhou University","ror":"https://ror.org/02wmsc916","country_code":"CN","type":"education","lineage":["https://openalex.org/I178232147"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ming Xu","raw_affiliation_strings":["School of Computer and Information Engineering, Guizhou University of Commerce, Guiyang, Guizhou, 550014, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer and Information Engineering, Guizhou University of Commerce, Guiyang, Guizhou, 550014, China","institution_ids":["https://openalex.org/I178232147"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100399841","display_name":"Kai Liu","orcid":"https://orcid.org/0000-0001-9858-6350"},"institutions":[{"id":"https://openalex.org/I4210119674","display_name":"East China University of Technology","ror":"https://ror.org/027385r44","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210119674"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Kai Liu","raw_affiliation_strings":["School of Science, East China University of Technology, Nanchang, Jiangxi, 330013, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Science, East China University of Technology, Nanchang, Jiangxi, 330013, China","institution_ids":["https://openalex.org/I4210119674"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100399841"],"corresponding_institution_ids":["https://openalex.org/I4210119674"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":2.0294,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.83456882,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":98,"max":99},"biblio":{"volume":"71","issue":"S1","first_page":"517","last_page":"536"},"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":0.9998000264167786,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","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/T10514","display_name":"Numerical methods in engineering","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"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/time-stepping","display_name":"Time stepping","score":0.8187846541404724},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7563624382019043},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.7057461738586426},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5238573551177979},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.498272180557251},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4762704074382782},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3626686930656433},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3282240629196167},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.19712185859680176},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.11563605070114136}],"concepts":[{"id":"https://openalex.org/C3019693144","wikidata":"https://www.wikidata.org/wiki/Q541182","display_name":"Time stepping","level":3,"score":0.8187846541404724},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7563624382019043},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.7057461738586426},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5238573551177979},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.498272180557251},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4762704074382782},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3626686930656433},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3282240629196167},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.19712185859680176},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.11563605070114136},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s12190-025-02471-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12190-025-02471-7","pdf_url":null,"source":{"id":"https://openalex.org/S199913245","display_name":"Journal of Applied Mathematics and Computing","issn_l":"1598-5865","issn":["1598-5865","1865-2085"],"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 Applied Mathematics and Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W594157154","https://openalex.org/W1973201513","https://openalex.org/W1991161672","https://openalex.org/W2019377902","https://openalex.org/W2029785293","https://openalex.org/W2033747112","https://openalex.org/W2039046333","https://openalex.org/W2076824317","https://openalex.org/W2080050826","https://openalex.org/W2109390585","https://openalex.org/W2305262487","https://openalex.org/W2318483574","https://openalex.org/W2750292121","https://openalex.org/W2886359481","https://openalex.org/W2889652890","https://openalex.org/W2903404404","https://openalex.org/W2975103256","https://openalex.org/W3010719937","https://openalex.org/W3038007606","https://openalex.org/W4252162566","https://openalex.org/W4293499214","https://openalex.org/W4386409306","https://openalex.org/W4393965174","https://openalex.org/W4394975893"],"related_works":["https://openalex.org/W2166091597","https://openalex.org/W27028106","https://openalex.org/W1936206625","https://openalex.org/W2064563243","https://openalex.org/W4250775169","https://openalex.org/W2322605970","https://openalex.org/W4309231192","https://openalex.org/W1996705387","https://openalex.org/W2964258661","https://openalex.org/W2039023896"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":3}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}