{"id":"https://openalex.org/W7225792840","doi":"https://doi.org/10.4208/jcm.2603-m2025-0316","title":"Convergence of the Random Batch Method for Interacting Particle Systems Driven by Fractional Brownian Motion","display_name":"Convergence of the Random Batch Method for Interacting Particle Systems Driven by Fractional Brownian Motion","publication_year":2026,"publication_date":"2026-11-12","ids":{"openalex":"https://openalex.org/W7225792840","doi":"https://doi.org/10.4208/jcm.2603-m2025-0316"},"language":"en","primary_location":{"id":"doi:10.4208/jcm.2603-m2025-0316","doi":"https://doi.org/10.4208/jcm.2603-m2025-0316","is_oa":false,"landing_page_url":"https://doi.org/10.4208/jcm.2603-m2025-0316","pdf_url":null,"source":{"id":"https://openalex.org/S109208094","display_name":"Journal of Computational Mathematics","issn_l":"0254-9409","issn":["0254-9409","1991-7139"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-c","jufo-1","norway-1","poland-70","russia-white-list-3"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Computational Mathematics","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"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/A5161493395","display_name":"Jie He","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I235331625","display_name":"Jiangsu Second Normal University","ror":"https://ror.org/00e6ytg41","country_code":"CN","type":"education","lineage":["https://openalex.org/I235331625"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jie He","raw_affiliation_strings":["Department of Mathematics, Jiangsu Second Normal University, Nanjing 210013, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Jiangsu Second Normal University, Nanjing 210013, China","institution_ids":["https://openalex.org/I235331625"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5161493395"],"corresponding_institution_ids":["https://openalex.org/I235331625"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"45","issue":"2","first_page":"526","last_page":"537"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10067","display_name":"Stochastic processes and financial applications","score":0.5835000276565552,"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":0.5835000276565552,"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.14100000262260437,"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/T11416","display_name":"Numerical Solvers for Ordinary Differential Equations","score":0.08169999718666077,"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"}}],"keywords":[],"concepts":[{"id":"https://openalex.org/C108819105","wikidata":"https://www.wikidata.org/wiki/Q1143293","display_name":"Fractional Brownian motion","level":3,"score":0.7993999719619751},{"id":"https://openalex.org/C112401455","wikidata":"https://www.wikidata.org/wiki/Q178036","display_name":"Brownian motion","level":2,"score":0.739799976348877},{"id":"https://openalex.org/C96835011","wikidata":"https://www.wikidata.org/wiki/Q1638718","display_name":"Hurst exponent","level":2,"score":0.6075999736785889},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5928000211715698},{"id":"https://openalex.org/C179003449","wikidata":"https://www.wikidata.org/wiki/Q1757458","display_name":"Particle system","level":2,"score":0.5023999810218811},{"id":"https://openalex.org/C2778517922","wikidata":"https://www.wikidata.org/wiki/Q7140482","display_name":"Particle (ecology)","level":2,"score":0.4788999855518341},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4684999883174896},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4616999924182892},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4259999990463257},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.36579999327659607},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.3653999865055084},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3330000042915344},{"id":"https://openalex.org/C172658912","wikidata":"https://www.wikidata.org/wiki/Q661613","display_name":"Batch processing","level":2,"score":0.3264999985694885},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3163999915122986},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.29350000619888306},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2635999917984009},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.2515999972820282},{"id":"https://openalex.org/C60391097","wikidata":"https://www.wikidata.org/wiki/Q1056809","display_name":"Wiener process","level":2,"score":0.25110000371932983}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.4208/jcm.2603-m2025-0316","doi":"https://doi.org/10.4208/jcm.2603-m2025-0316","is_oa":false,"landing_page_url":"https://doi.org/10.4208/jcm.2603-m2025-0316","pdf_url":null,"source":{"id":"https://openalex.org/S109208094","display_name":"Journal of Computational Mathematics","issn_l":"0254-9409","issn":["0254-9409","1991-7139"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-c","jufo-1","norway-1","poland-70","russia-white-list-3"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Computational Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W55402459","https://openalex.org/W2065096983","https://openalex.org/W2076451073","https://openalex.org/W2888898048","https://openalex.org/W2896669416","https://openalex.org/W3014114528","https://openalex.org/W3016131533","https://openalex.org/W3031537818","https://openalex.org/W3109436836","https://openalex.org/W3136945732","https://openalex.org/W3172671179","https://openalex.org/W4382238374","https://openalex.org/W4389304720","https://openalex.org/W4390640807","https://openalex.org/W4393945103","https://openalex.org/W4393947122","https://openalex.org/W4407238165"],"related_works":[],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"the":[3,36,49,69,73,78],"random":[4,26],"batch":[5,27],"method":[6,28,50],"for":[7,60],"solving":[8],"interacting":[9,41],"particle":[10,42],"systems":[11],"driven":[12],"by":[13,54],"fractional":[14],"Brownian":[15],"motion":[16],"with":[17],"Hurst":[18],"parameter":[19],"$H":[20],"\u2208":[21],"(0,1)$":[22],"is":[23,29,51],"introduced.":[24],"The":[25],"an":[30],"efficient":[31],"technique":[32],"that":[33],"significantly":[34],"reduces":[35],"computational":[37],"cost":[38],"of":[39,48,57,77],"simulating":[40],"systems.":[43],"A":[44],"detailed":[45],"error":[46],"analysis":[47],"conducted,":[52],"accompanied":[53],"rigorous":[55],"derivations":[56],"upper":[58],"bounds":[59],"these":[61],"errors.":[62],"Numerical":[63],"experiments":[64],"are":[65],"performed":[66],"to":[67],"verify":[68],"theoretical":[70],"results,":[71],"demonstrating":[72],"effectiveness":[74],"and":[75],"efficiency":[76],"proposed":[79],"method.":[80]},"counts_by_year":[],"updated_date":"2026-11-12T12:28:57.059296","created_date":"2026-11-12T00:00:00"}
