{"id":"https://openalex.org/W4409481298","doi":"https://doi.org/10.1007/s10915-025-02839-8","title":"On the Convergence and Energy Stability Analysis for a Second-Order Scheme of the Swift\u2013Hohenberg Equation","display_name":"On the Convergence and Energy Stability Analysis for a Second-Order Scheme of the Swift\u2013Hohenberg Equation","publication_year":2025,"publication_date":"2025-04-16","ids":{"openalex":"https://openalex.org/W4409481298","doi":"https://doi.org/10.1007/s10915-025-02839-8"},"language":"en","primary_location":{"id":"doi:10.1007/s10915-025-02839-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-025-02839-8","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/A5065550612","display_name":"Jingwei Sun","orcid":null},"institutions":[{"id":"https://openalex.org/I170215575","display_name":"National University of Defense Technology","ror":"https://ror.org/05d2yfz11","country_code":"CN","type":"education","lineage":["https://openalex.org/I170215575"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jingwei Sun","raw_affiliation_strings":["Department of Mathematics, National University of Defense Technology, Changsha, 410073, Hunan, China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, National University of Defense Technology, Changsha, 410073, Hunan, China","institution_ids":["https://openalex.org/I170215575"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100386418","display_name":"Haifeng Wang","orcid":"https://orcid.org/0000-0003-0659-8771"},"institutions":[{"id":"https://openalex.org/I170215575","display_name":"National University of Defense Technology","ror":"https://ror.org/05d2yfz11","country_code":"CN","type":"education","lineage":["https://openalex.org/I170215575"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Haifeng Wang","raw_affiliation_strings":["Department of Mathematics, National University of Defense Technology, Changsha, 410073, Hunan, China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, National University of Defense Technology, Changsha, 410073, Hunan, China","institution_ids":["https://openalex.org/I170215575"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101426250","display_name":"Hong Zhang","orcid":"https://orcid.org/0000-0002-4417-2408"},"institutions":[{"id":"https://openalex.org/I170215575","display_name":"National University of Defense Technology","ror":"https://ror.org/05d2yfz11","country_code":"CN","type":"education","lineage":["https://openalex.org/I170215575"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hong Zhang","raw_affiliation_strings":["Department of Mathematics, National University of Defense Technology, Changsha, 410073, Hunan, China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, National University of Defense Technology, Changsha, 410073, Hunan, China","institution_ids":["https://openalex.org/I170215575"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100743485","display_name":"Qian Xu","orcid":"https://orcid.org/0000-0003-3888-0528"},"institutions":[{"id":"https://openalex.org/I170215575","display_name":"National University of Defense Technology","ror":"https://ror.org/05d2yfz11","country_code":"CN","type":"education","lineage":["https://openalex.org/I170215575"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xu Qian","raw_affiliation_strings":["Department of Mathematics, National University of Defense Technology, Changsha, 410073, Hunan, China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, National University of Defense Technology, Changsha, 410073, Hunan, China","institution_ids":["https://openalex.org/I170215575"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109343537","display_name":"Songhe Song","orcid":null},"institutions":[{"id":"https://openalex.org/I170215575","display_name":"National University of Defense Technology","ror":"https://ror.org/05d2yfz11","country_code":"CN","type":"education","lineage":["https://openalex.org/I170215575"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Songhe Song","raw_affiliation_strings":["Department of Mathematics, National University of Defense Technology, Changsha, 410073, Hunan, China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, National University of Defense Technology, Changsha, 410073, Hunan, China","institution_ids":["https://openalex.org/I170215575"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5065550612"],"corresponding_institution_ids":["https://openalex.org/I170215575"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":3.1905,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.91322638,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":96},"biblio":{"volume":"103","issue":"3","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T11087","display_name":"Solidification and crystal growth phenomena","score":0.9976000189781189,"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.996999979019165,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/swift","display_name":"Swift","score":0.8557103872299194},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8448710441589355},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6552028656005859},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.601390540599823},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.5788848400115967},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5218952298164368},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5115516781806946},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5032939314842224},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0678551197052002},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.061678916215896606}],"concepts":[{"id":"https://openalex.org/C116188536","wikidata":"https://www.wikidata.org/wiki/Q17118377","display_name":"Swift","level":2,"score":0.8557103872299194},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8448710441589355},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6552028656005859},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.601390540599823},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.5788848400115967},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5218952298164368},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5115516781806946},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5032939314842224},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0678551197052002},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.061678916215896606},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C44870925","wikidata":"https://www.wikidata.org/wiki/Q37547","display_name":"Astrophysics","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10915-025-02839-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-025-02839-8","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":[{"id":"https://metadata.un.org/sdg/7","score":0.8199999928474426,"display_name":"Affordable and clean energy"}],"awards":[{"id":"https://openalex.org/G4252499369","display_name":null,"funder_award_id":"12071481","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6097109375","display_name":null,"funder_award_id":"2021-JCJQ-JJ-0538","funder_id":"https://openalex.org/F4320336551","funder_display_name":"National Defense Science and Technology Innovation Fund of the Chinese Academy of Sciences"},{"id":"https://openalex.org/G6617959312","display_name":null,"funder_award_id":"12271523","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7180991827","display_name":null,"funder_award_id":"2020YFA0709803","funder_id":"https://openalex.org/F4320316314","funder_display_name":"Key Technologies Research and Development Program of Anhui Province"}],"funders":[{"id":"https://openalex.org/F4320316314","display_name":"Key Technologies Research and Development Program of Anhui Province","ror":null},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320336551","display_name":"National Defense Science and Technology Innovation Fund of the Chinese Academy of Sciences","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":40,"referenced_works":["https://openalex.org/W2000883601","https://openalex.org/W2014219947","https://openalex.org/W2029449803","https://openalex.org/W2044159301","https://openalex.org/W2044966729","https://openalex.org/W2050969603","https://openalex.org/W2052398636","https://openalex.org/W2054420328","https://openalex.org/W2069452363","https://openalex.org/W2083994446","https://openalex.org/W2086126894","https://openalex.org/W2090704787","https://openalex.org/W2099659360","https://openalex.org/W2129240084","https://openalex.org/W2148571767","https://openalex.org/W2167347425","https://openalex.org/W2168653054","https://openalex.org/W2181550461","https://openalex.org/W2184266932","https://openalex.org/W2342769790","https://openalex.org/W2501163367","https://openalex.org/W2888156465","https://openalex.org/W2914901868","https://openalex.org/W2983925907","https://openalex.org/W3038878809","https://openalex.org/W3160436836","https://openalex.org/W3168318908","https://openalex.org/W3211330732","https://openalex.org/W4206255168","https://openalex.org/W4294000657","https://openalex.org/W4385649109","https://openalex.org/W4389473729","https://openalex.org/W4389626969","https://openalex.org/W4391532981","https://openalex.org/W4391617410","https://openalex.org/W4392652267","https://openalex.org/W4392853614","https://openalex.org/W4404976819","https://openalex.org/W4405410057","https://openalex.org/W4406417941"],"related_works":["https://openalex.org/W3198734187","https://openalex.org/W3175001965","https://openalex.org/W2350024083","https://openalex.org/W4250183494","https://openalex.org/W3130985054","https://openalex.org/W608019500","https://openalex.org/W2478736918","https://openalex.org/W3130134152","https://openalex.org/W1968928660","https://openalex.org/W3198661659"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
