{"id":"https://openalex.org/W4226205334","doi":"https://doi.org/10.1007/s10915-022-01921-9","title":"Stabilized Exponential-SAV Schemes Preserving Energy Dissipation Law and Maximum Bound Principle for The Allen\u2013Cahn Type Equations","display_name":"Stabilized Exponential-SAV Schemes Preserving Energy Dissipation Law and Maximum Bound Principle for The Allen\u2013Cahn Type Equations","publication_year":2022,"publication_date":"2022-07-08","ids":{"openalex":"https://openalex.org/W4226205334","doi":"https://doi.org/10.1007/s10915-022-01921-9"},"language":"en","primary_location":{"id":"doi:10.1007/s10915-022-01921-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-022-01921-9","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":true,"oa_status":"green","oa_url":"http://ira.lib.polyu.edu.hk/bitstream/10397/95820/1/Ju_Stabilized_Exponential-Sav_Schemes.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5076382628","display_name":"Lili Ju","orcid":"https://orcid.org/0000-0002-6520-582X"},"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":"Lili Ju","raw_affiliation_strings":["Department of Mathematics, University of South Carolina, Columbia, SC, 29208, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of South Carolina, Columbia, SC, 29208, USA","institution_ids":["https://openalex.org/I155781252"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Xiao Li","orcid":"https://orcid.org/0000-0003-3598-9077"},"institutions":[{"id":"https://openalex.org/I14243506","display_name":"Hong Kong Polytechnic University","ror":"https://ror.org/0030zas98","country_code":"HK","type":"education","lineage":["https://openalex.org/I14243506"]}],"countries":["HK"],"is_corresponding":true,"raw_author_name":"Xiao Li","raw_affiliation_strings":["Department of Applied Mathematics, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong"],"raw_orcid":"https://orcid.org/0000-0003-3598-9077","affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong","institution_ids":["https://openalex.org/I14243506"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5081360062","display_name":"Zhonghua Qiao","orcid":"https://orcid.org/0000-0002-0553-1404"},"institutions":[{"id":"https://openalex.org/I14243506","display_name":"Hong Kong Polytechnic University","ror":"https://ror.org/0030zas98","country_code":"HK","type":"education","lineage":["https://openalex.org/I14243506"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Zhonghua Qiao","raw_affiliation_strings":["Department of Applied Mathematics & Research Institute for Smart Energy, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics & Research Institute for Smart Energy, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong","institution_ids":["https://openalex.org/I14243506"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I14243506"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.12383736,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"92","issue":"2","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13497","display_name":"Hermeneutics and Narrative Identity","score":0.9879000186920166,"subfield":{"id":"https://openalex.org/subfields/1211","display_name":"Philosophy"},"field":{"id":"https://openalex.org/fields/12","display_name":"Arts and Humanities"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T13497","display_name":"Hermeneutics and Narrative Identity","score":0.9879000186920166,"subfield":{"id":"https://openalex.org/subfields/1211","display_name":"Philosophy"},"field":{"id":"https://openalex.org/fields/12","display_name":"Arts and Humanities"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T13695","display_name":"Aging, Elder Care, and Social Issues","score":0.9749000072479248,"subfield":{"id":"https://openalex.org/subfields/3600","display_name":"General Health Professions"},"field":{"id":"https://openalex.org/fields/36","display_name":"Health Professions"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T13099","display_name":"Health, Medicine and Society","score":0.95660001039505,"subfield":{"id":"https://openalex.org/subfields/3600","display_name":"General Health Professions"},"field":{"id":"https://openalex.org/fields/36","display_name":"Health Professions"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/dissipation","display_name":"Dissipation","score":0.7716162204742432},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6760689616203308},{"id":"https://openalex.org/keywords/pointwise","display_name":"Pointwise","score":0.6550882458686829},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5456845760345459},{"id":"https://openalex.org/keywords/law","display_name":"Law","score":0.5240504741668701},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.47297704219818115},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.4602668583393097},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4351036846637726},{"id":"https://openalex.org/keywords/conservation-law","display_name":"Conservation law","score":0.4277613162994385},{"id":"https://openalex.org/keywords/allen\u2013cahn-equation","display_name":"Allen\u2013Cahn equation","score":0.42297032475471497},{"id":"https://openalex.org/keywords/energy","display_name":"Energy (signal processing)","score":0.4227448105812073},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.42059844732284546},{"id":"https://openalex.org/keywords/maximum-principle","display_name":"Maximum principle","score":0.416459858417511},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.4152980446815491},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.37581565976142883},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.21860668063163757},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.21336627006530762},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.19270500540733337},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09591478109359741}],"concepts":[{"id":"https://openalex.org/C135402231","wikidata":"https://www.wikidata.org/wiki/Q898440","display_name":"Dissipation","level":2,"score":0.7716162204742432},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6760689616203308},{"id":"https://openalex.org/C2777984123","wikidata":"https://www.wikidata.org/wiki/Q9248237","display_name":"Pointwise","level":2,"score":0.6550882458686829},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5456845760345459},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.5240504741668701},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.47297704219818115},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.4602668583393097},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4351036846637726},{"id":"https://openalex.org/C3445786","wikidata":"https://www.wikidata.org/wiki/Q205805","display_name":"Conservation law","level":2,"score":0.4277613162994385},{"id":"https://openalex.org/C2777166216","wikidata":"https://www.wikidata.org/wiki/Q4732089","display_name":"Allen\u2013Cahn equation","level":2,"score":0.42297032475471497},{"id":"https://openalex.org/C186370098","wikidata":"https://www.wikidata.org/wiki/Q442787","display_name":"Energy (signal processing)","level":2,"score":0.4227448105812073},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.42059844732284546},{"id":"https://openalex.org/C31010330","wikidata":"https://www.wikidata.org/wiki/Q1914255","display_name":"Maximum principle","level":3,"score":0.416459858417511},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.4152980446815491},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.37581565976142883},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.21860668063163757},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.21336627006530762},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.19270500540733337},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09591478109359741},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"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/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10915-022-01921-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-022-01921-9","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"},{"id":"pmh:oai:ira.lib.polyu.edu.hk:10397/95820","is_oa":true,"landing_page_url":"http://hdl.handle.net/10397/95820","pdf_url":"http://ira.lib.polyu.edu.hk/bitstream/10397/95820/1/Ju_Stabilized_Exponential-Sav_Schemes.pdf","source":{"id":"https://openalex.org/S4306400205","display_name":"PolyU Institutional Research Archive (Hong Kong Polytechnic University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I14243506","host_organization_name":"Hong Kong Polytechnic University","host_organization_lineage":["https://openalex.org/I14243506"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Journal/Magazine Article"}],"best_oa_location":{"id":"pmh:oai:ira.lib.polyu.edu.hk:10397/95820","is_oa":true,"landing_page_url":"http://hdl.handle.net/10397/95820","pdf_url":"http://ira.lib.polyu.edu.hk/bitstream/10397/95820/1/Ju_Stabilized_Exponential-Sav_Schemes.pdf","source":{"id":"https://openalex.org/S4306400205","display_name":"PolyU Institutional Research Archive (Hong Kong Polytechnic University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I14243506","host_organization_name":"Hong Kong Polytechnic University","host_organization_lineage":["https://openalex.org/I14243506"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Journal/Magazine Article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1067451740","display_name":"Maximum Bound Principle-Preserving Time Integration Methods for Some Semilinear Parabolic Equations","funder_award_id":"2109633","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G1939681139","display_name":null,"funder_award_id":"DMS-2109633","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G2140319653","display_name":null,"funder_award_id":"4-ZZKK","funder_id":"https://openalex.org/F4320322598","funder_display_name":"Hong Kong Polytechnic University"},{"id":"https://openalex.org/G3342530491","display_name":null,"funder_award_id":"4-ZZMK","funder_id":"https://openalex.org/F4320322598","funder_display_name":"Hong Kong Polytechnic University"},{"id":"https://openalex.org/G4188457733","display_name":null,"funder_award_id":"SC0020270","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G5012435474","display_name":null,"funder_award_id":"DE-SC0020270","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G5287833807","display_name":null,"funder_award_id":"1-BD8N","funder_id":"https://openalex.org/F4320322598","funder_display_name":"Hong Kong Polytechnic University"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320306084","display_name":"U.S. Department of Energy","ror":"https://ror.org/01bj3aw27"},{"id":"https://openalex.org/F4320322598","display_name":"Hong Kong Polytechnic University","ror":"https://ror.org/0030zas98"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4226205334.pdf","grobid_xml":"https://content.openalex.org/works/W4226205334.grobid-xml"},"referenced_works_count":38,"referenced_works":["https://openalex.org/W429183865","https://openalex.org/W2029449803","https://openalex.org/W2029529153","https://openalex.org/W2030350543","https://openalex.org/W2037963783","https://openalex.org/W2041001120","https://openalex.org/W2050163813","https://openalex.org/W2050969603","https://openalex.org/W2080928083","https://openalex.org/W2109834126","https://openalex.org/W2152501918","https://openalex.org/W2507484451","https://openalex.org/W2526298107","https://openalex.org/W2588054282","https://openalex.org/W2589656637","https://openalex.org/W2766149883","https://openalex.org/W2893622182","https://openalex.org/W2909584443","https://openalex.org/W2911401788","https://openalex.org/W2914074116","https://openalex.org/W2917228799","https://openalex.org/W2929974466","https://openalex.org/W2949558036","https://openalex.org/W2964580220","https://openalex.org/W2989770282","https://openalex.org/W2990313723","https://openalex.org/W2991443752","https://openalex.org/W3007637113","https://openalex.org/W3024213355","https://openalex.org/W3048822804","https://openalex.org/W3080439246","https://openalex.org/W3080795262","https://openalex.org/W3094937669","https://openalex.org/W3135444765","https://openalex.org/W3159048616","https://openalex.org/W3159813613","https://openalex.org/W3160679425","https://openalex.org/W3161885882"],"related_works":["https://openalex.org/W1238857","https://openalex.org/W1190262","https://openalex.org/W27277532","https://openalex.org/W12462510","https://openalex.org/W41851204","https://openalex.org/W29944321","https://openalex.org/W1964257","https://openalex.org/W304693","https://openalex.org/W34800957","https://openalex.org/W47247542"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2022-05-05T00:00:00"}