{"id":"https://openalex.org/W2963280674","doi":"https://doi.org/10.1007/s10915-019-00946-x","title":"Second Order Linear Energy Stable Schemes for Allen-Cahn Equations with Nonlocal Constraints","display_name":"Second Order Linear Energy Stable Schemes for Allen-Cahn Equations with Nonlocal Constraints","publication_year":2019,"publication_date":"2019-04-05","ids":{"openalex":"https://openalex.org/W2963280674","doi":"https://doi.org/10.1007/s10915-019-00946-x","mag":"2963280674"},"language":"en","primary_location":{"id":"doi:10.1007/s10915-019-00946-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-019-00946-x","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/A5013677269","display_name":"Xiaobo Jing","orcid":null},"institutions":[{"id":"https://openalex.org/I4210139958","display_name":"Beijing Computational Science Research Center","ror":"https://ror.org/04tavf782","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210139958"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaobo Jing","raw_affiliation_strings":["Beijing Computational Science Research Center, Beijing, 100193, P. R. China"],"affiliations":[{"raw_affiliation_string":"Beijing Computational Science Research Center, Beijing, 100193, P. R. China","institution_ids":["https://openalex.org/I4210139958"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100362138","display_name":"Jun Li","orcid":"https://orcid.org/0000-0003-4915-0336"},"institutions":[{"id":"https://openalex.org/I15062923","display_name":"Tianjin Normal University","ror":"https://ror.org/05x2td559","country_code":"CN","type":"education","lineage":["https://openalex.org/I15062923"]},{"id":"https://openalex.org/I4210139958","display_name":"Beijing Computational Science Research Center","ror":"https://ror.org/04tavf782","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210139958"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jun Li","raw_affiliation_strings":["Beijing Computational Science Research Center, Beijing, 100193, P. R. China","School of Mathematical Sciences, Tianjin Normal University, Tianjin, 300387, P. R. China"],"affiliations":[{"raw_affiliation_string":"Beijing Computational Science Research Center, Beijing, 100193, P. R. China","institution_ids":["https://openalex.org/I4210139958"]},{"raw_affiliation_string":"School of Mathematical Sciences, Tianjin Normal University, Tianjin, 300387, P. R. China","institution_ids":["https://openalex.org/I15062923"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065241402","display_name":"Xueping Zhao","orcid":"https://orcid.org/0000-0002-8679-6032"},"institutions":[{"id":"https://openalex.org/I155781252","display_name":"University of South Carolina","ror":"https://ror.org/02b6qw903","country_code":"US","type":"education","lineage":["https://openalex.org/I155781252"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Xueping Zhao","raw_affiliation_strings":["Department of Mathematics, University of South Carolina, Columbia, SC, 29208, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of South Carolina, Columbia, SC, 29208, USA","institution_ids":["https://openalex.org/I155781252"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100341254","display_name":"Qi Wang","orcid":"https://orcid.org/0000-0002-0501-1599"},"institutions":[{"id":"https://openalex.org/I155781252","display_name":"University of South Carolina","ror":"https://ror.org/02b6qw903","country_code":"US","type":"education","lineage":["https://openalex.org/I155781252"]},{"id":"https://openalex.org/I4210139958","display_name":"Beijing Computational Science Research Center","ror":"https://ror.org/04tavf782","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210139958"]},{"id":"https://openalex.org/I205237279","display_name":"Nankai University","ror":"https://ror.org/01y1kjr75","country_code":"CN","type":"education","lineage":["https://openalex.org/I205237279"]}],"countries":["CN","US"],"is_corresponding":true,"raw_author_name":"Qi Wang","raw_affiliation_strings":["Beijing Computational Science Research Center, Beijing, 100193, P. R. China","Department of Mathematics, University of South Carolina, Columbia, SC, 29028, USA","School of Materials Science and Engineering, Nankai University, Tianjin, 300350, P. R. China"],"affiliations":[{"raw_affiliation_string":"Beijing Computational Science Research Center, Beijing, 100193, P. R. China","institution_ids":["https://openalex.org/I4210139958"]},{"raw_affiliation_string":"Department of Mathematics, University of South Carolina, Columbia, SC, 29028, USA","institution_ids":["https://openalex.org/I155781252"]},{"raw_affiliation_string":"School of Materials Science and Engineering, Nankai University, Tianjin, 300350, P. R. China","institution_ids":["https://openalex.org/I205237279"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5100341254"],"corresponding_institution_ids":["https://openalex.org/I155781252","https://openalex.org/I205237279","https://openalex.org/I4210139958"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.9123,"has_fulltext":false,"cited_by_count":21,"citation_normalized_percentile":{"value":0.71183016,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"80","issue":"1","first_page":"500","last_page":"537"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11087","display_name":"Solidification and crystal growth phenomena","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9837999939918518,"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/T12141","display_name":"Fluid Dynamics and Thin Films","score":0.9811000227928162,"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":0.7589098215103149},{"id":"https://openalex.org/keywords/benchmark","display_name":"Benchmark (surveying)","score":0.5760725140571594},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5367470979690552},{"id":"https://openalex.org/keywords/allen\u2013cahn-equation","display_name":"Allen\u2013Cahn equation","score":0.5331539511680603},{"id":"https://openalex.org/keywords/finite-volume-method","display_name":"Finite volume method","score":0.5270901918411255},{"id":"https://openalex.org/keywords/energy","display_name":"Energy (signal processing)","score":0.5268372893333435},{"id":"https://openalex.org/keywords/cahn\u2013hilliard-equation","display_name":"Cahn\u2013Hilliard equation","score":0.5156999230384827},{"id":"https://openalex.org/keywords/phase-space","display_name":"Phase space","score":0.4907163381576538},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.4815578758716583},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.32392624020576477},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.11872541904449463},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0798751711845398},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.07226961851119995}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7589098215103149},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.5760725140571594},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5367470979690552},{"id":"https://openalex.org/C2777166216","wikidata":"https://www.wikidata.org/wiki/Q4732089","display_name":"Allen\u2013Cahn equation","level":2,"score":0.5331539511680603},{"id":"https://openalex.org/C50478463","wikidata":"https://www.wikidata.org/wiki/Q1401936","display_name":"Finite volume method","level":2,"score":0.5270901918411255},{"id":"https://openalex.org/C186370098","wikidata":"https://www.wikidata.org/wiki/Q442787","display_name":"Energy (signal processing)","level":2,"score":0.5268372893333435},{"id":"https://openalex.org/C24822716","wikidata":"https://www.wikidata.org/wiki/Q5017440","display_name":"Cahn\u2013Hilliard equation","level":3,"score":0.5156999230384827},{"id":"https://openalex.org/C151342819","wikidata":"https://www.wikidata.org/wiki/Q62542","display_name":"Phase space","level":2,"score":0.4907163381576538},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.4815578758716583},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.32392624020576477},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.11872541904449463},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0798751711845398},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.07226961851119995},{"id":"https://openalex.org/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10915-019-00946-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-019-00946-x","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":[{"display_name":"Affordable and clean energy","score":0.8899999856948853,"id":"https://metadata.un.org/sdg/7"}],"awards":[{"id":"https://openalex.org/G3821468413","display_name":null,"funder_award_id":"NSAF-U1530401","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":58,"referenced_works":["https://openalex.org/W130947653","https://openalex.org/W227143473","https://openalex.org/W1774151066","https://openalex.org/W1812313010","https://openalex.org/W1966227249","https://openalex.org/W1976156829","https://openalex.org/W2002116790","https://openalex.org/W2010502651","https://openalex.org/W2024130221","https://openalex.org/W2029449803","https://openalex.org/W2030350543","https://openalex.org/W2031130696","https://openalex.org/W2036088969","https://openalex.org/W2041001120","https://openalex.org/W2046528357","https://openalex.org/W2050969603","https://openalex.org/W2061317428","https://openalex.org/W2080928083","https://openalex.org/W2102116725","https://openalex.org/W2128204029","https://openalex.org/W2150388881","https://openalex.org/W2168699491","https://openalex.org/W2192936953","https://openalex.org/W2265162061","https://openalex.org/W2328649268","https://openalex.org/W2473369144","https://openalex.org/W2501163367","https://openalex.org/W2537992595","https://openalex.org/W2538112578","https://openalex.org/W2550726378","https://openalex.org/W2562132457","https://openalex.org/W2564695776","https://openalex.org/W2573373858","https://openalex.org/W2580156618","https://openalex.org/W2587203146","https://openalex.org/W2765622482","https://openalex.org/W2766149883","https://openalex.org/W2767040340","https://openalex.org/W2787186442","https://openalex.org/W2790325139","https://openalex.org/W2790418049","https://openalex.org/W2794279870","https://openalex.org/W2795784645","https://openalex.org/W2802568736","https://openalex.org/W2803412292","https://openalex.org/W2880061076","https://openalex.org/W2896194069","https://openalex.org/W2902643746","https://openalex.org/W3099776398","https://openalex.org/W3102241002","https://openalex.org/W3103987801","https://openalex.org/W4231413549","https://openalex.org/W4237352653","https://openalex.org/W4244360209","https://openalex.org/W6600650897","https://openalex.org/W6600725278","https://openalex.org/W6601013545","https://openalex.org/W6608220232"],"related_works":["https://openalex.org/W4388722486","https://openalex.org/W1980263572","https://openalex.org/W3182767157","https://openalex.org/W2603368703","https://openalex.org/W2605241284","https://openalex.org/W1920690606","https://openalex.org/W4385263414","https://openalex.org/W4300921184","https://openalex.org/W2948924069","https://openalex.org/W2735173698"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
