{"id":"https://openalex.org/W4366975668","doi":"https://doi.org/10.1137/21m1461642","title":"Optimization and Convergence of Numerical Attractors for Discrete-Time Quasi-Linear Lattice System","display_name":"Optimization and Convergence of Numerical Attractors for Discrete-Time Quasi-Linear Lattice System","publication_year":2023,"publication_date":"2023-04-24","ids":{"openalex":"https://openalex.org/W4366975668","doi":"https://doi.org/10.1137/21m1461642"},"language":"en","primary_location":{"id":"doi:10.1137/21m1461642","is_oa":false,"landing_page_url":"https://doi.org/10.1137/21m1461642","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Numerical Analysis","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://idus.us.es/handle//11441/147904","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5076016990","display_name":"Yangrong Li","orcid":"https://orcid.org/0000-0003-3186-3477"},"institutions":[{"id":"https://openalex.org/I142108993","display_name":"Southwest University","ror":"https://ror.org/01kj4z117","country_code":"CN","type":"education","lineage":["https://openalex.org/I142108993"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yangrong Li","raw_affiliation_strings":["School of Mathematics and Statistics, Southwest University, Chongqing 400715, People\u2019s Republic of China"],"raw_orcid":"https://orcid.org/0000-0003-3186-3477","affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Southwest University, Chongqing 400715, People\u2019s Republic of China","institution_ids":["https://openalex.org/I142108993"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063844002","display_name":"Shuang Yang","orcid":"https://orcid.org/0000-0002-6620-6445"},"institutions":[{"id":"https://openalex.org/I142108993","display_name":"Southwest University","ror":"https://ror.org/01kj4z117","country_code":"CN","type":"education","lineage":["https://openalex.org/I142108993"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shuang Yang","raw_affiliation_strings":["School of Mathematics and Statistics, Southwest University, Chongqing 400715, People\u2019s Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Southwest University, Chongqing 400715, People\u2019s Republic of China","institution_ids":["https://openalex.org/I142108993"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5085582592","display_name":"Tom\u00e1s Caraballo","orcid":"https://orcid.org/0000-0003-4697-898X"},"institutions":[{"id":"https://openalex.org/I142108993","display_name":"Southwest University","ror":"https://ror.org/01kj4z117","country_code":"CN","type":"education","lineage":["https://openalex.org/I142108993"]},{"id":"https://openalex.org/I79238269","display_name":"Universidad de Sevilla","ror":"https://ror.org/03yxnpp24","country_code":"ES","type":"education","lineage":["https://openalex.org/I79238269"]}],"countries":["CN","ES"],"is_corresponding":true,"raw_author_name":"Tom\u00e1s Caraballo","raw_affiliation_strings":["Dpto. Ecuaciones Diferenciales y An\u00e1lisis Num\u00e9rico, Facultad de Matem\u00e1ticas, Universidad de Sevilla, C/Tarfia s/n, 41012-Sevilla, Spain","School of Mathematics and Statistics, Southwest University, Chongqing 400715, PR China"],"raw_orcid":"https://orcid.org/0000-0003-4697-898X","affiliations":[{"raw_affiliation_string":"Dpto. Ecuaciones Diferenciales y An\u00e1lisis Num\u00e9rico, Facultad de Matem\u00e1ticas, Universidad de Sevilla, C/Tarfia s/n, 41012-Sevilla, Spain","institution_ids":["https://openalex.org/I79238269"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Southwest University, Chongqing 400715, PR China","institution_ids":["https://openalex.org/I142108993"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5085582592"],"corresponding_institution_ids":["https://openalex.org/I142108993","https://openalex.org/I79238269"],"apc_list":null,"apc_paid":null,"fwci":3.7661,"has_fulltext":false,"cited_by_count":21,"citation_normalized_percentile":{"value":0.9360382,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"61","issue":"2","first_page":"905","last_page":"928"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9998999834060669,"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"}},{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9988999962806702,"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/T11654","display_name":"Advanced Mathematical Physics Problems","score":0.9968000054359436,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8166251182556152},{"id":"https://openalex.org/keywords/attractor","display_name":"Attractor","score":0.5385047197341919},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.526365339756012},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4855175018310547},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.45590725541114807},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.44025397300720215},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.4344172477722168},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.42872828245162964},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.41155239939689636},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08980286121368408}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8166251182556152},{"id":"https://openalex.org/C164380108","wikidata":"https://www.wikidata.org/wiki/Q507187","display_name":"Attractor","level":2,"score":0.5385047197341919},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.526365339756012},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4855175018310547},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.45590725541114807},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.44025397300720215},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.4344172477722168},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.42872828245162964},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.41155239939689636},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08980286121368408},{"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/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/21m1461642","is_oa":false,"landing_page_url":"https://doi.org/10.1137/21m1461642","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Numerical Analysis","raw_type":"journal-article"},{"id":"pmh:oai:idus.us.es:11441/147904","is_oa":true,"landing_page_url":"https://idus.us.es/handle//11441/147904","pdf_url":null,"source":{"id":"https://openalex.org/S4306400333","display_name":"idUS (Universidad de Sevilla)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I79238269","host_organization_name":"Universidad de Sevilla","host_organization_lineage":["https://openalex.org/I79238269"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:idus.us.es:11441/147904","is_oa":true,"landing_page_url":"https://idus.us.es/handle//11441/147904","pdf_url":null,"source":{"id":"https://openalex.org/S4306400333","display_name":"idUS (Universidad de Sevilla)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I79238269","host_organization_name":"Universidad de Sevilla","host_organization_lineage":["https://openalex.org/I79238269"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1519243186","display_name":null,"funder_award_id":"PGC2018-096540-B-I00","funder_id":"https://openalex.org/F4320335322","funder_display_name":"European Regional Development Fund"},{"id":"https://openalex.org/G2173725286","display_name":null,"funder_award_id":"202006990054","funder_id":"https://openalex.org/F4320322725","funder_display_name":"China Scholarship Council"},{"id":"https://openalex.org/G7547872270","display_name":null,"funder_award_id":"11571283","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320315062","display_name":"Ministerio de Ciencia, Innovaci\u00f3n y Universidades","ror":null},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322725","display_name":"China Scholarship Council","ror":"https://ror.org/04atp4p48"},{"id":"https://openalex.org/F4320335322","display_name":"European Regional Development Fund","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320335598","display_name":"Agencia Estatal de Investigaci\u00f3n","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":40,"referenced_works":["https://openalex.org/W563254532","https://openalex.org/W604134745","https://openalex.org/W639956148","https://openalex.org/W1587613382","https://openalex.org/W1594759473","https://openalex.org/W1973343816","https://openalex.org/W1976221710","https://openalex.org/W1979569363","https://openalex.org/W1984132243","https://openalex.org/W1992384873","https://openalex.org/W2025586695","https://openalex.org/W2026070250","https://openalex.org/W2048550169","https://openalex.org/W2055879862","https://openalex.org/W2057758830","https://openalex.org/W2060273152","https://openalex.org/W2071126994","https://openalex.org/W2078823919","https://openalex.org/W2087165598","https://openalex.org/W2091336985","https://openalex.org/W2093183619","https://openalex.org/W2105658971","https://openalex.org/W2147397958","https://openalex.org/W2171907627","https://openalex.org/W2409974741","https://openalex.org/W2484892906","https://openalex.org/W2523150324","https://openalex.org/W2531326523","https://openalex.org/W2769021578","https://openalex.org/W2917323727","https://openalex.org/W2952786453","https://openalex.org/W2964032811","https://openalex.org/W3010398719","https://openalex.org/W3026780172","https://openalex.org/W3036571702","https://openalex.org/W3049192344","https://openalex.org/W3085091273","https://openalex.org/W3104094966","https://openalex.org/W3198181010","https://openalex.org/W3199389184"],"related_works":["https://openalex.org/W1512202075","https://openalex.org/W2489957437","https://openalex.org/W2910133962","https://openalex.org/W2401850100","https://openalex.org/W2950931298","https://openalex.org/W4302458761","https://openalex.org/W4226238329","https://openalex.org/W3105847064","https://openalex.org/W4361230184","https://openalex.org/W2017101736"],"abstract_inverted_index":{"Existence":[0],"and":[1,66,127],"connection":[2],"of":[3,34,41,58,73,92,101],"numerical":[4,19,36,83,114,125],"attractors":[5,20,37,84,115],"for":[6,116],"discrete-time":[7],"p
\\n-Laplace":[8],"lattice":[9],"systems":[10,119],"via":[11],"the":[12,31,35,39,42,46,51,70,82,89,93,98,102,112,124,128],"implicit":[13],"Euler":[14],"scheme":[15],"are":[16,21],"proved.":[17],"The":[18],"shown":[22],"to":[23,30,45,68,79,88,105,123],"have":[24],"an":[25],"optimized":[26],"bound,":[27],"which":[28,76],"leads":[29],"continuous":[32],"convergence":[33],"when":[38,50],"graph":[40],"nonlinearity":[43],"closes":[44],"vertical":[47],"axis":[48],"or":[49],"external":[52],"force":[53],"vanishes.":[54],"A":[55],"new":[56],"type":[57],"Taylor":[59],"expansion":[60],"without":[61],"Fr\u00e9chet":[62],"derivatives":[63],"is":[64,77,108],"established":[65],"applied":[67],"show":[69],"discretization":[71],"error":[72],"order":[74],"two,":[75],"crucial":[78],"prove":[80],"that":[81,111],"converge":[85,120],"upper":[86,121],"semicontinuously":[87,122],"global":[90],"attractor":[91,126],"original":[94],"continuous-time":[95],"system":[96],"as":[97],"step":[99],"size":[100],"time":[103],"goes":[104],"zero.":[106],"It":[107],"also":[109],"proved":[110],"truncated":[113],"finitely":[117],"dimensional":[118],"lower":[129],"semicontinuity":[130],"holds":[131],"in":[132],"special":[133],"cases.":[134]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":10},{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":2}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}