乐胖代购免代理版

{"id":"https://openalex.org/W4392769249","doi":"https://doi.org/10.1016/j.jco.2024.101842","title":"Linear implicit approximations of invariant measures of semi-linear SDEs with non-globally Lipschitz coefficients","display_name":"Linear implicit approximations of invariant measures of semi-linear SDEs with non-globally Lipschitz coefficients","publication_year":2024,"publication_date":"2024-03-13","ids":{"openalex":"https://openalex.org/W4392769249","doi":"https://doi.org/10.1016/j.jco.2024.101842"},"language":"en","primary_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.jco.2024.101842","pdf_url":null,"source":{"id":"https://openalex.org/S42286584","display_name":"Journal of Complexity","issn_l":"0885-064X","issn":["0885-064X","1090-2708"],"is_oa":false,"is_in_doaj":false,"is_indexed_in_scopus":true,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true},"type":"article","type_crossref":"journal-article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1016/j.jco.2024.101842","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5114052068","display_name":"Chenxu Pang","orcid":null},"institutions":[{"id":"https://openalex.org/I139660479","display_name":"Central South University","ror":"https://ror.org/00f1zfq44","country_code":"CN","type":"funder","lineage":["https://openalex.org/I139660479"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chenxu Pang","raw_affiliation_strings":["School of Mathematics and Statistics, HNP-LAMA, Central South University, Changsha, Hunan, PR China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, HNP-LAMA, Central South University, Changsha, Hunan, PR China","institution_ids":["https://openalex.org/I139660479"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5115592360","display_name":"Xiaojie Wang","orcid":null},"institutions":[{"id":"https://openalex.org/I139660479","display_name":"Central South University","ror":"https://ror.org/00f1zfq44","country_code":"CN","type":"funder","lineage":["https://openalex.org/I139660479"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaojie Wang","raw_affiliation_strings":["School of Mathematics and Statistics, HNP-LAMA, Central South University, Changsha, Hunan, PR China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, HNP-LAMA, Central South University, Changsha, Hunan, PR China","institution_ids":["https://openalex.org/I139660479"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100663751","display_name":"Yue Wu","orcid":"https://orcid.org/0000-0002-6281-2229"},"institutions":[{"id":"https://openalex.org/I181647926","display_name":"University of Strathclyde","ror":"https://ror.org/00n3w3b69","country_code":"GB","type":"funder","lineage":["https://openalex.org/I181647926"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Yue Wu","raw_affiliation_strings":["Department of Mathematics and Statistics, University of Strathclyde, Glasgow G1 1XH, UK"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, University of Strathclyde, Glasgow G1 1XH, UK","institution_ids":["https://openalex.org/I181647926"]}]}],"institution_assertions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100663751"],"corresponding_institution_ids":["https://openalex.org/I181647926"],"apc_list":{"value":2200,"currency":"USD","value_usd":2200},"apc_paid":{"value":2200,"currency":"USD","value_usd":2200},"fwci":2.844,"has_fulltext":true,"fulltext_origin":"pdf","cited_by_count":3,"citation_normalized_percentile":{"value":0.999882,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":92,"max":95},"biblio":{"volume":"83","issue":null,"first_page":"101842","last_page":"101842"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T10067","display_name":"Stochastic processes and financial applications","score":0.9993,"subfield":{"id":"https://openalex.org/subfields/2003","display_name":"Finance"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10067","display_name":"Stochastic processes and financial applications","score":0.9993,"subfield":{"id":"https://openalex.org/subfields/2003","display_name":"Finance"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9956,"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"}},{"id":"https://openalex.org/T10471","display_name":"Climate Change Policy and Economics","score":0.9199,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/ergodicity","display_name":"Ergodicity","score":0.6579989}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8425611},{"id":"https://openalex.org/C115667082","wikidata":"https://www.wikidata.org/wiki/Q4200518","display_name":"Invariant measure","level":3,"score":0.74945307},{"id":"https://openalex.org/C22324862","wikidata":"https://www.wikidata.org/wiki/Q652707","display_name":"Lipschitz continuity","level":2,"score":0.7374014},{"id":"https://openalex.org/C201779956","wikidata":"https://www.wikidata.org/wiki/Q5426803","display_name":"Ergodicity","level":2,"score":0.6579989},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.6119272},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.55253005},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.54602736},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.5072951},{"id":"https://openalex.org/C51955184","wikidata":"https://www.wikidata.org/wiki/Q1545585","display_name":"Stochastic differential equation","level":2,"score":0.49162346},{"id":"https://openalex.org/C62884695","wikidata":"https://www.wikidata.org/wiki/Q184871","display_name":"Euler's formula","level":2,"score":0.48347455},{"id":"https://openalex.org/C38409319","wikidata":"https://www.wikidata.org/wiki/Q375175","display_name":"Euler equations","level":2,"score":0.44236618},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4323515},{"id":"https://openalex.org/C768646","wikidata":"https://www.wikidata.org/wiki/Q2736820","display_name":"Backward Euler method","level":3,"score":0.42408985},{"id":"https://openalex.org/C122044880","wikidata":"https://www.wikidata.org/wiki/Q5498822","display_name":"Ergodic theory","level":2,"score":0.1719186},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.068486005},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.jco.2024.101842","pdf_url":null,"source":{"id":"https://openalex.org/S42286584","display_name":"Journal of Complexity","issn_l":"0885-064X","issn":["0885-064X","1090-2708"],"is_oa":false,"is_in_doaj":false,"is_indexed_in_scopus":true,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true},{"is_oa":true,"landing_page_url":"https://strathprints.strath.ac.uk/88537/1/Pang-etal-JC-2024-Linear-implicit-approximations-of-invariant-measures-of-semi-linear-SDEs.pdf","pdf_url":"https://strathprints.strath.ac.uk/88537/1/Pang-etal-JC-2024-Linear-implicit-approximations-of-invariant-measures-of-semi-linear-SDEs.pdf","source":{"id":"https://openalex.org/S4306402226","display_name":"Strathprints: The University of Strathclyde institutional repository (University of Strathclyde)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_indexed_in_scopus":false,"is_core":false,"host_organization":"https://openalex.org/I181647926","host_organization_name":"University of Strathclyde","host_organization_lineage":["https://openalex.org/I181647926"],"host_organization_lineage_names":["University of Strathclyde"],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"acceptedVersion","is_accepted":true,"is_published":false},{"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2308.12886","pdf_url":"https://arxiv.org/pdf/2308.12886","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_indexed_in_scopus":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":["Cornell University"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false}],"best_oa_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.jco.2024.101842","pdf_url":null,"source":{"id":"https://openalex.org/S42286584","display_name":"Journal of Complexity","issn_l":"0885-064X","issn":["0885-064X","1090-2708"],"is_oa":false,"is_in_doaj":false,"is_indexed_in_scopus":true,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true},"sustainable_development_goals":[],"grants":[{"funder":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China","award_id":"12071488"},{"funder":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China","award_id":"12371417"},{"funder":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China","award_id":"11971488"}],"datasets":[],"versions":[],"referenced_works_count":27,"referenced_works":["https://openalex.org/W2006012599","https://openalex.org/W2022278178","https://openalex.org/W2057711290","https://openalex.org/W2061230119","https://openalex.org/W2104049095","https://openalex.org/W2139679875","https://openalex.org/W2499620708","https://openalex.org/W2532035851","https://openalex.org/W2794748126","https://openalex.org/W2951662467","https://openalex.org/W2963468480","https://openalex.org/W2963781534","https://openalex.org/W3007710073","https://openalex.org/W3021350626","https://openalex.org/W3090028287","https://openalex.org/W3101256565","https://openalex.org/W3102040787","https://openalex.org/W3122662177","https://openalex.org/W4206627649","https://openalex.org/W4214686751","https://openalex.org/W4231021340","https://openalex.org/W4236389711","https://openalex.org/W4283331121","https://openalex.org/W4285235232","https://openalex.org/W4379800847","https://openalex.org/W4388583687","https://openalex.org/W601825003"],"related_works":["https://openalex.org/W4366375467","https://openalex.org/W2969324067","https://openalex.org/W2365810470","https://openalex.org/W2112163543","https://openalex.org/W2057711290","https://openalex.org/W2009711572","https://openalex.org/W2004888312","https://openalex.org/W1982732596","https://openalex.org/W1981367860","https://openalex.org/W1530927473"],"abstract_inverted_index":{"This":[0],"article":[1],"investigates":[2],"the":[3,7,38,42,49,52,62,73,77,81,86,102,108,117,124],"weak":[4,78],"approximation":[5],"towards":[6],"invariant":[8,34,64,83],"measure":[9,84],"of":[10,41,94,99],"semi-linear":[11],"stochastic":[12],"differential":[13],"equations":[14],"(SDEs)":[15],"under":[16],"non-globally":[17],"Lipschitz":[18],"coefficients.":[19],"For":[20],"this":[21],"purpose,":[22],"we":[23],"propose":[24],"a":[25,113],"linear-theta-projected":[26],"Euler":[27,121],"(LTPE)":[28],"scheme,":[29],"which":[30],"also":[31],"admits":[32],"an":[33],"measure,":[35],"to":[36,58,61,130],"handle":[37],"potential":[39],"influence":[40],"linear":[43],"stiffness.":[44],"Under":[45],"certain":[46],"assumptions,":[47],"both":[48],"SDE":[50],"and":[51,85],"corresponding":[53,74],"LTPE":[54],"method":[55,122],"are":[56,128],"shown":[57],"converge":[59],"exponentially":[60],"underlying":[63],"measures,":[65],"respectively.":[66],"Moreover,":[67],"with":[68,92,107],"time-independent":[69],"regularity":[70],"estimates":[71],"for":[72],"Kolmogorov":[75],"equation,":[76],"error":[79],"between":[80],"numerical":[82],"original":[87],"one":[88],"can":[89],"be":[90],"guaranteed":[91],"convergence":[93],"order":[95],"one.":[96],"In":[97],"terms":[98],"computational":[100],"complexity,":[101],"proposed":[103],"ergodicity":[104,118],"preserving":[105,119],"scheme":[106],"nonlinearity":[109],"explicitly":[110],"treated":[111],"has":[112],"significant":[114],"advantage":[115],"over":[116],"implicit":[120],"in":[123],"literature.":[125],"Numerical":[126],"experiments":[127],"provided":[129],"verify":[131],"our":[132],"theoretical":[133],"findings.":[134]},"abstract_inverted_index_v3":null,"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W4392769249","counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2025-04-30T13:44:51.062744","created_date":"2024-03-14"}