{"id":"https://openalex.org/W4411609594","doi":"https://doi.org/10.1007/s12190-025-02570-5","title":"A novel linear relaxation explicit-invariant energy quadratization numerical scheme for the Allen-Cahn and Cahn-Hilliard type models","display_name":"A novel linear relaxation explicit-invariant energy quadratization numerical scheme for the Allen-Cahn and Cahn-Hilliard type models","publication_year":2025,"publication_date":"2025-06-24","ids":{"openalex":"https://openalex.org/W4411609594","doi":"https://doi.org/10.1007/s12190-025-02570-5"},"language":"en","primary_location":{"id":"doi:10.1007/s12190-025-02570-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12190-025-02570-5","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/A5004270138","display_name":"Jincheng Pu","orcid":"https://orcid.org/0000-0001-9242-3067"},"institutions":[{"id":"https://openalex.org/I170172562","display_name":"Guizhou University of Finance and Economics","ror":"https://ror.org/02sw6yz40","country_code":"CN","type":"education","lineage":["https://openalex.org/I170172562"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jincheng Pu","raw_affiliation_strings":["School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang, 550025, PR China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang, 550025, PR China","institution_ids":["https://openalex.org/I170172562"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5108265082","display_name":"Jun Zhang","orcid":"https://orcid.org/0000-0001-7786-4825"},"institutions":[{"id":"https://openalex.org/I170172562","display_name":"Guizhou University of Finance and Economics","ror":"https://ror.org/02sw6yz40","country_code":"CN","type":"education","lineage":["https://openalex.org/I170172562"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jun Zhang","raw_affiliation_strings":["Computational Mathematics Research Center, Guizhou University of Finance and Economics, Guiyang, 550025, PR China","School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang, 550025, PR China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computational Mathematics Research Center, Guizhou University of Finance and Economics, Guiyang, 550025, PR China","institution_ids":["https://openalex.org/I170172562"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang, 550025, PR China","institution_ids":["https://openalex.org/I170172562"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5108265082"],"corresponding_institution_ids":["https://openalex.org/I170172562"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.08006594,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"71","issue":"5","first_page":"6959","last_page":"6987"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11087","display_name":"Solidification and crystal growth phenomena","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11087","display_name":"Solidification and crystal growth phenomena","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9915000200271606,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9883999824523926,"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/mathematics","display_name":"Mathematics","score":0.7480897903442383},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.7355583310127258},{"id":"https://openalex.org/keywords/allen\u2013cahn-equation","display_name":"Allen\u2013Cahn equation","score":0.7243615984916687},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.6276820302009583},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5140048265457153},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.49310991168022156},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.47240275144577026},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.45369863510131836},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.36729490756988525},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.23470985889434814},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.23049813508987427}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7480897903442383},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.7355583310127258},{"id":"https://openalex.org/C2777166216","wikidata":"https://www.wikidata.org/wiki/Q4732089","display_name":"Allen\u2013Cahn equation","level":2,"score":0.7243615984916687},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.6276820302009583},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5140048265457153},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.49310991168022156},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.47240275144577026},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.45369863510131836},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.36729490756988525},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.23470985889434814},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.23049813508987427},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s12190-025-02570-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12190-025-02570-5","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":[{"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7","score":0.8299999833106995}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W1846478001","https://openalex.org/W1966227249","https://openalex.org/W2025245542","https://openalex.org/W2025944355","https://openalex.org/W2043200883","https://openalex.org/W2050969603","https://openalex.org/W2057366524","https://openalex.org/W2097973750","https://openalex.org/W2117035551","https://openalex.org/W2125897424","https://openalex.org/W2150388881","https://openalex.org/W2491928130","https://openalex.org/W2524556479","https://openalex.org/W2552236073","https://openalex.org/W2586463154","https://openalex.org/W2587203146","https://openalex.org/W2766149883","https://openalex.org/W2893622182","https://openalex.org/W2963333235","https://openalex.org/W2964580220","https://openalex.org/W2973053442","https://openalex.org/W2982895902","https://openalex.org/W3007637113","https://openalex.org/W3024213355","https://openalex.org/W3128888920","https://openalex.org/W3160436836","https://openalex.org/W3174720744","https://openalex.org/W3193628079","https://openalex.org/W4285403808","https://openalex.org/W4290849459","https://openalex.org/W4307295572","https://openalex.org/W4388850538","https://openalex.org/W4400113858"],"related_works":["https://openalex.org/W4393111341","https://openalex.org/W4404876890","https://openalex.org/W2964308048","https://openalex.org/W4388722486","https://openalex.org/W1727769347","https://openalex.org/W2787174914","https://openalex.org/W2040406162","https://openalex.org/W2511317110","https://openalex.org/W4302407027","https://openalex.org/W4400590523"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-06-13T06:13:01.061226","created_date":"2025-10-10T00:00:00"}