{"id":"https://openalex.org/W4417520292","doi":"https://doi.org/10.1016/j.cam.2025.117276","title":"Second-order one-parameter maximum-principle-preserving and energy stable difference scheme for the Allen-Cahn equation","display_name":"Second-order one-parameter maximum-principle-preserving and energy stable difference scheme for the Allen-Cahn equation","publication_year":2025,"publication_date":"2025-12-20","ids":{"openalex":"https://openalex.org/W4417520292","doi":"https://doi.org/10.1016/j.cam.2025.117276"},"language":"en","primary_location":{"id":"doi:10.1016/j.cam.2025.117276","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.cam.2025.117276","pdf_url":null,"source":{"id":"https://openalex.org/S165473669","display_name":"Journal of Computational and Applied Mathematics","issn_l":"0377-0427","issn":["0377-0427","1879-1778"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of 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/A5071067927","display_name":"Hao Han","orcid":"https://orcid.org/0000-0002-7685-2758"},"institutions":[{"id":"https://openalex.org/I196699116","display_name":"Wuhan University of Technology","ror":"https://ror.org/03fe7t173","country_code":"CN","type":"education","lineage":["https://openalex.org/I196699116"]},{"id":"https://openalex.org/I43922553","display_name":"Wuhan University of Science and Technology","ror":"https://ror.org/00e4hrk88","country_code":"CN","type":"education","lineage":["https://openalex.org/I43922553"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Hao Han","raw_affiliation_strings":["School of Mathematics and Statistics, Wuhan University of Technology, Wuhan, 430070, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Wuhan University of Technology, Wuhan, 430070, China","institution_ids":["https://openalex.org/I196699116","https://openalex.org/I43922553"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032759716","display_name":"Zengqiang Tan","orcid":"https://orcid.org/0009-0001-8092-3627"},"institutions":[{"id":"https://openalex.org/I196699116","display_name":"Wuhan University of Technology","ror":"https://ror.org/03fe7t173","country_code":"CN","type":"education","lineage":["https://openalex.org/I196699116"]},{"id":"https://openalex.org/I43922553","display_name":"Wuhan University of Science and Technology","ror":"https://ror.org/00e4hrk88","country_code":"CN","type":"education","lineage":["https://openalex.org/I43922553"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zengqiang Tan","raw_affiliation_strings":["School of Mathematics and Statistics, Wuhan University of Technology, Wuhan, 430070, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Wuhan University of Technology, Wuhan, 430070, China","institution_ids":["https://openalex.org/I196699116","https://openalex.org/I43922553"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5074928243","display_name":"Xiaoqiang Yan","orcid":"https://orcid.org/0000-0002-5251-9504"},"institutions":[{"id":"https://openalex.org/I4610292","display_name":"Xiangtan University","ror":"https://ror.org/00xsfaz62","country_code":"CN","type":"education","lineage":["https://openalex.org/I4610292"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaoqiang Yan","raw_affiliation_strings":["School of Mathematics and Computational Science, Hunan Key Laboratory for Computation and Simulation in Science and Engineering, Xiangtan University, Hunan, 411105, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Computational Science, Hunan Key Laboratory for Computation and Simulation in Science and Engineering, Xiangtan University, Hunan, 411105, China","institution_ids":["https://openalex.org/I4610292"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5032759716","https://openalex.org/A5071067927"],"corresponding_institution_ids":["https://openalex.org/I196699116","https://openalex.org/I43922553"],"apc_list":{"value":3040,"currency":"USD","value_usd":3040},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.33036804,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"480","issue":null,"first_page":"117276","last_page":"117276"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11087","display_name":"Solidification and crystal growth phenomena","score":0.7714999914169312,"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":0.7714999914169312,"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/T11416","display_name":"Numerical methods for differential equations","score":0.042500000447034836,"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":0.025599999353289604,"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/extrapolation","display_name":"Extrapolation","score":0.6245999932289124},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6180999875068665},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.5494999885559082},{"id":"https://openalex.org/keywords/energy","display_name":"Energy (signal processing)","score":0.5475000143051147},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.5357999801635742},{"id":"https://openalex.org/keywords/finite-difference","display_name":"Finite difference","score":0.47130000591278076},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.4668000042438507},{"id":"https://openalex.org/keywords/finite-difference-method","display_name":"Finite difference method","score":0.4424000084400177},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.4174000024795532}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8858000040054321},{"id":"https://openalex.org/C132459708","wikidata":"https://www.wikidata.org/wiki/Q744069","display_name":"Extrapolation","level":2,"score":0.6245999932289124},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6180999875068665},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.5494999885559082},{"id":"https://openalex.org/C186370098","wikidata":"https://www.wikidata.org/wiki/Q442787","display_name":"Energy (signal processing)","level":2,"score":0.5475000143051147},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5357999801635742},{"id":"https://openalex.org/C181330731","wikidata":"https://www.wikidata.org/wiki/Q2068418","display_name":"Finite difference","level":2,"score":0.47130000591278076},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4668000042438507},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.46459999680519104},{"id":"https://openalex.org/C205951836","wikidata":"https://www.wikidata.org/wiki/Q1147751","display_name":"Finite difference method","level":2,"score":0.4424000084400177},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.4174000024795532},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.388700008392334},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3571999967098236},{"id":"https://openalex.org/C176321772","wikidata":"https://www.wikidata.org/wiki/Q1430640","display_name":"Numerical stability","level":3,"score":0.3382999897003174},{"id":"https://openalex.org/C2780829570","wikidata":"https://www.wikidata.org/wiki/Q25113057","display_name":"Compact finite difference","level":3,"score":0.3310000002384186},{"id":"https://openalex.org/C2989268449","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Energy method","level":2,"score":0.33009999990463257},{"id":"https://openalex.org/C102893441","wikidata":"https://www.wikidata.org/wiki/Q1063089","display_name":"Richardson extrapolation","level":3,"score":0.320499986410141},{"id":"https://openalex.org/C2988766672","wikidata":"https://www.wikidata.org/wiki/Q1147751","display_name":"Finite difference scheme","level":2,"score":0.3190999925136566},{"id":"https://openalex.org/C130187892","wikidata":"https://www.wikidata.org/wiki/Q133327","display_name":"Spacetime","level":2,"score":0.3091000020503998},{"id":"https://openalex.org/C3018824978","wikidata":"https://www.wikidata.org/wiki/Q2894891","display_name":"Error analysis","level":2,"score":0.295199990272522},{"id":"https://openalex.org/C31010330","wikidata":"https://www.wikidata.org/wiki/Q1914255","display_name":"Maximum principle","level":3,"score":0.2750000059604645},{"id":"https://openalex.org/C39177556","wikidata":"https://www.wikidata.org/wiki/Q7100567","display_name":"Order of accuracy","level":4,"score":0.2732999920845032},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.2685000002384186},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.2624000012874603},{"id":"https://openalex.org/C157866214","wikidata":"https://www.wikidata.org/wiki/Q17006341","display_name":"Central differencing scheme","level":5,"score":0.2531000077724457}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/j.cam.2025.117276","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.cam.2025.117276","pdf_url":null,"source":{"id":"https://openalex.org/S165473669","display_name":"Journal of Computational and Applied Mathematics","issn_l":"0377-0427","issn":["0377-0427","1879-1778"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Computational and Applied Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1945871801","display_name":null,"funder_award_id":"12401538","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":20,"referenced_works":["https://openalex.org/W2025043986","https://openalex.org/W2041001120","https://openalex.org/W2097973750","https://openalex.org/W2322234959","https://openalex.org/W2507484451","https://openalex.org/W2523228639","https://openalex.org/W2589656637","https://openalex.org/W2914074116","https://openalex.org/W2989770282","https://openalex.org/W3004640310","https://openalex.org/W3048822804","https://openalex.org/W3109900446","https://openalex.org/W3132544470","https://openalex.org/W3154231965","https://openalex.org/W4306318589","https://openalex.org/W4327591195","https://openalex.org/W4387842099","https://openalex.org/W4389141397","https://openalex.org/W4400590523","https://openalex.org/W4406970899"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2025-12-20T00:00:00"}