{"id":"https://openalex.org/W3029031142","doi":"https://doi.org/10.1007/s10444-020-09793-z","title":"Non-iterative, unconditionally energy stable and large time-stepping method for the Cahn-Hilliard phase-field model with Flory-Huggins-de Gennes free energy","display_name":"Non-iterative, unconditionally energy stable and large time-stepping method for the Cahn-Hilliard phase-field model with Flory-Huggins-de Gennes free energy","publication_year":2020,"publication_date":"2020-05-26","ids":{"openalex":"https://openalex.org/W3029031142","doi":"https://doi.org/10.1007/s10444-020-09793-z","mag":"3029031142"},"language":"en","primary_location":{"id":"doi:10.1007/s10444-020-09793-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10444-020-09793-z","pdf_url":null,"source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"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":"Advances in Computational 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/A5100433052","display_name":"Jun Zhang","orcid":"https://orcid.org/0000-0001-6841-7070"},"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":"Jun Zhang","raw_affiliation_strings":["Computational Mathematics Research Center, Guizhou University of Finance and Economics, Guizhou, 550025, Guiyang, China","Guizhou Key Laboratory of Big Data Statistics Analysis, Guizhou University of Finance and Economics, Guizhou, 550025, Guiyang, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computational Mathematics Research Center, Guizhou University of Finance and Economics, Guizhou, 550025, Guiyang, China","institution_ids":["https://openalex.org/I170172562"]},{"raw_affiliation_string":"Guizhou Key Laboratory of Big Data Statistics Analysis, Guizhou University of Finance and Economics, Guizhou, 550025, Guiyang, China","institution_ids":["https://openalex.org/I170172562"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5013515385","display_name":"Xiaofeng Yang","orcid":"https://orcid.org/0000-0001-7382-3006"},"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":"Xiaofeng Yang","raw_affiliation_strings":["Computational Mathematics Research Center, Guizhou University of Finance and Economics, Guizhou, 550025, Guiyang, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computational Mathematics Research Center, Guizhou University of Finance and Economics, Guizhou, 550025, Guiyang, China","institution_ids":["https://openalex.org/I170172562"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5013515385"],"corresponding_institution_ids":["https://openalex.org/I170172562"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":0.0729,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.28589969,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"46","issue":"3","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11087","display_name":"Solidification and crystal growth phenomena","score":0.9998999834060669,"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":0.9998999834060669,"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9929999709129333,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10670","display_name":"Aluminum Alloy Microstructure Properties","score":0.9914000034332275,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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/biharmonic-equation","display_name":"Biharmonic equation","score":0.782772421836853},{"id":"https://openalex.org/keywords/cahn\u2013hilliard-equation","display_name":"Cahn\u2013Hilliard equation","score":0.772332489490509},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.5938717126846313},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5861929655075073},{"id":"https://openalex.org/keywords/energy","display_name":"Energy (signal processing)","score":0.5611183047294617},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.535418689250946},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5334354639053345},{"id":"https://openalex.org/keywords/benchmark","display_name":"Benchmark (surveying)","score":0.5200528502464294},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.5174282193183899},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.45327743887901306},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.31939786672592163},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.18564540147781372},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.0966862142086029}],"concepts":[{"id":"https://openalex.org/C145784156","wikidata":"https://www.wikidata.org/wiki/Q859808","display_name":"Biharmonic equation","level":3,"score":0.782772421836853},{"id":"https://openalex.org/C24822716","wikidata":"https://www.wikidata.org/wiki/Q5017440","display_name":"Cahn\u2013Hilliard equation","level":3,"score":0.772332489490509},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.5938717126846313},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5861929655075073},{"id":"https://openalex.org/C186370098","wikidata":"https://www.wikidata.org/wiki/Q442787","display_name":"Energy (signal processing)","level":2,"score":0.5611183047294617},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.535418689250946},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5334354639053345},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.5200528502464294},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.5174282193183899},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.45327743887901306},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.31939786672592163},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.18564540147781372},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.0966862142086029},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"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/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.0},{"id":"https://openalex.org/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","level":1,"score":0.0},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10444-020-09793-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10444-020-09793-z","pdf_url":null,"source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"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":"Advances in Computational Mathematics","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":0.8500000238418579}],"awards":[{"id":"https://openalex.org/G891726925","display_name":"Collaborative Research:   Efficient, Stable and Accurate Numerical Algorithms for a class of Gradient Flow Systems and their Applications","funder_award_id":"1720212","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":44,"referenced_works":["https://openalex.org/W225968618","https://openalex.org/W1975783842","https://openalex.org/W1976156829","https://openalex.org/W1980600432","https://openalex.org/W1989512090","https://openalex.org/W1991547299","https://openalex.org/W1991825492","https://openalex.org/W2002912905","https://openalex.org/W2008209583","https://openalex.org/W2022801748","https://openalex.org/W2030350543","https://openalex.org/W2034549893","https://openalex.org/W2050969603","https://openalex.org/W2057959100","https://openalex.org/W2062245988","https://openalex.org/W2070187243","https://openalex.org/W2079396461","https://openalex.org/W2083629653","https://openalex.org/W2097246107","https://openalex.org/W2119682008","https://openalex.org/W2128204029","https://openalex.org/W2128697589","https://openalex.org/W2135440720","https://openalex.org/W2153563401","https://openalex.org/W2522304948","https://openalex.org/W2526298107","https://openalex.org/W2529834609","https://openalex.org/W2581030426","https://openalex.org/W2585262222","https://openalex.org/W2587203146","https://openalex.org/W2766149883","https://openalex.org/W2772390114","https://openalex.org/W2772617598","https://openalex.org/W2784357211","https://openalex.org/W2790418049","https://openalex.org/W2804973738","https://openalex.org/W2865142829","https://openalex.org/W2893622182","https://openalex.org/W2902106637","https://openalex.org/W2909584443","https://openalex.org/W2922798659","https://openalex.org/W2929974466","https://openalex.org/W2963333235","https://openalex.org/W2963801809"],"related_works":["https://openalex.org/W2883819976","https://openalex.org/W2361566420","https://openalex.org/W4241068626","https://openalex.org/W2013366437","https://openalex.org/W2012359720","https://openalex.org/W2888415450","https://openalex.org/W4313321682","https://openalex.org/W2378075577","https://openalex.org/W1910082046","https://openalex.org/W3135423287"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}