{"id":"https://openalex.org/W3134382862","doi":"https://doi.org/10.1007/s10915-021-01431-0","title":"A Dimensional Splitting Exponential Time Differencing Scheme for Multidimensional Fractional Allen-Cahn Equations","display_name":"A Dimensional Splitting Exponential Time Differencing Scheme for Multidimensional Fractional Allen-Cahn Equations","publication_year":2021,"publication_date":"2021-03-06","ids":{"openalex":"https://openalex.org/W3134382862","doi":"https://doi.org/10.1007/s10915-021-01431-0","mag":"3134382862"},"language":"en","primary_location":{"id":"doi:10.1007/s10915-021-01431-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-021-01431-0","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/A5100353673","display_name":"Hao Chen","orcid":"https://orcid.org/0009-0001-6480-7976"},"institutions":[{"id":"https://openalex.org/I126924076","display_name":"Chongqing Normal University","ror":"https://ror.org/01dcw5w74","country_code":"CN","type":"education","lineage":["https://openalex.org/I126924076"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hao Chen","raw_affiliation_strings":["College of Mathematics Science, Chongqing Normal University, Chongqing, China"],"affiliations":[{"raw_affiliation_string":"College of Mathematics Science, Chongqing Normal University, Chongqing, China","institution_ids":["https://openalex.org/I126924076"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101501154","display_name":"Hai\u2010Wei Sun","orcid":"https://orcid.org/0000-0002-5507-6083"},"institutions":[{"id":"https://openalex.org/I204512498","display_name":"University of Macau","ror":"https://ror.org/01r4q9n85","country_code":"MO","type":"education","lineage":["https://openalex.org/I204512498"]}],"countries":["MO"],"is_corresponding":true,"raw_author_name":"Hai-Wei Sun","raw_affiliation_strings":["Department of Mathematics, University of Macau, Macao, China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Macau, Macao, China","institution_ids":["https://openalex.org/I204512498"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5101501154"],"corresponding_institution_ids":["https://openalex.org/I204512498"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":4.0381,"has_fulltext":false,"cited_by_count":24,"citation_normalized_percentile":{"value":0.93712104,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":"87","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9997000098228455,"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"}},"topics":[{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9997000098228455,"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9986000061035156,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/toeplitz-matrix","display_name":"Toeplitz matrix","score":0.8479280471801758},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8221424221992493},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.7460963129997253},{"id":"https://openalex.org/keywords/matrix-exponential","display_name":"Matrix exponential","score":0.6691349744796753},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.6085367798805237},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5243318676948547},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.48541340231895447},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.4763110876083374},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.467770516872406},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.46071064472198486},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.32144439220428467},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.20041552186012268},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.11207553744316101},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.09862712025642395}],"concepts":[{"id":"https://openalex.org/C147710293","wikidata":"https://www.wikidata.org/wiki/Q849428","display_name":"Toeplitz matrix","level":2,"score":0.8479280471801758},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8221424221992493},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.7460963129997253},{"id":"https://openalex.org/C195906000","wikidata":"https://www.wikidata.org/wiki/Q1191722","display_name":"Matrix exponential","level":3,"score":0.6691349744796753},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.6085367798805237},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5243318676948547},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.48541340231895447},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4763110876083374},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.467770516872406},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.46071064472198486},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.32144439220428467},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.20041552186012268},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.11207553744316101},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.09862712025642395},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","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},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10915-021-01431-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-021-01431-0","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":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":43,"referenced_works":["https://openalex.org/W605044866","https://openalex.org/W648869842","https://openalex.org/W827524955","https://openalex.org/W1483804921","https://openalex.org/W1488435683","https://openalex.org/W1984347942","https://openalex.org/W2001011967","https://openalex.org/W2001744739","https://openalex.org/W2003451508","https://openalex.org/W2005041367","https://openalex.org/W2007098018","https://openalex.org/W2018931076","https://openalex.org/W2027319740","https://openalex.org/W2028212620","https://openalex.org/W2041001120","https://openalex.org/W2043988785","https://openalex.org/W2047954521","https://openalex.org/W2048876667","https://openalex.org/W2049165066","https://openalex.org/W2050969603","https://openalex.org/W2062245988","https://openalex.org/W2081719420","https://openalex.org/W2092070210","https://openalex.org/W2115176036","https://openalex.org/W2138044358","https://openalex.org/W2142597043","https://openalex.org/W2152501918","https://openalex.org/W2183656116","https://openalex.org/W2313044839","https://openalex.org/W2331253163","https://openalex.org/W2473259021","https://openalex.org/W2507484451","https://openalex.org/W2523228639","https://openalex.org/W2589656637","https://openalex.org/W2787959293","https://openalex.org/W2798028937","https://openalex.org/W2914074116","https://openalex.org/W2977608296","https://openalex.org/W2996958127","https://openalex.org/W3034738189","https://openalex.org/W3048822804","https://openalex.org/W3159813613","https://openalex.org/W4211077197"],"related_works":["https://openalex.org/W151496359","https://openalex.org/W2089476443","https://openalex.org/W4382762952","https://openalex.org/W2079780979","https://openalex.org/W2067382432","https://openalex.org/W1969390712","https://openalex.org/W2025734700","https://openalex.org/W2589376966","https://openalex.org/W2029069277","https://openalex.org/W1970439644"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":8},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2}],"updated_date":"2026-03-28T08:17:26.163206","created_date":"2025-10-10T00:00:00"}