{"id":"https://openalex.org/W4408405405","doi":"https://doi.org/10.1007/s12190-025-02438-8","title":"Numerical threshold of split-step \u03b8 methods for stochastic age-structured population models","display_name":"Numerical threshold of split-step \u03b8 methods for stochastic age-structured population models","publication_year":2025,"publication_date":"2025-03-13","ids":{"openalex":"https://openalex.org/W4408405405","doi":"https://doi.org/10.1007/s12190-025-02438-8"},"language":"en","primary_location":{"id":"doi:10.1007/s12190-025-02438-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12190-025-02438-8","pdf_url":null,"source":{"id":"https://openalex.org/S199913245","display_name":"Journal of Applied Mathematics and Computing","issn_l":"1226-0061","issn":["1226-0061","1229-9499","1229-9502","1598-5865","1865-2085"],"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 Applied Mathematics and 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/A5101867698","display_name":"Yongqi Wang","orcid":"https://orcid.org/0009-0008-6543-1051"},"institutions":[{"id":"https://openalex.org/I182707071","display_name":"Ludong University","ror":"https://ror.org/028h95t32","country_code":"CN","type":"education","lineage":["https://openalex.org/I182707071"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yongqi Wang","raw_affiliation_strings":["School of Mathematics and Statistic Science, Ludong University, Yantai, P.R. China","School of Mathematics and Statistic Science, Ludong University, Yantai, Shandong, 264025, P.R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistic Science, Ludong University, Yantai, P.R. China","institution_ids":["https://openalex.org/I182707071"]},{"raw_affiliation_string":"School of Mathematics and Statistic Science, Ludong University, Yantai, Shandong, 264025, P.R. China","institution_ids":["https://openalex.org/I182707071"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026892626","display_name":"Huizi Yang","orcid":"https://orcid.org/0000-0002-6576-2095"},"institutions":[{"id":"https://openalex.org/I182707071","display_name":"Ludong University","ror":"https://ror.org/028h95t32","country_code":"CN","type":"education","lineage":["https://openalex.org/I182707071"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Huizi Yang","raw_affiliation_strings":["School of Mathematics and Statistic Science, Ludong University, Yantai, P.R. China","School of Mathematics and Statistic Science, Ludong University, Yantai, Shandong, 264025, P.R. China"],"raw_orcid":"https://orcid.org/0000-0002-6576-2095","affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistic Science, Ludong University, Yantai, P.R. China","institution_ids":["https://openalex.org/I182707071"]},{"raw_affiliation_string":"School of Mathematics and Statistic Science, Ludong University, Yantai, Shandong, 264025, P.R. China","institution_ids":["https://openalex.org/I182707071"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5040655215","display_name":"Zhanwen Yang","orcid":"https://orcid.org/0000-0001-6617-4642"},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]},{"id":"https://openalex.org/I4210161462","display_name":"Heilongjiang Institute of Technology","ror":"https://ror.org/05x0m9n95","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210161462"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zhanwen Yang","raw_affiliation_strings":["School of Mathematics, Harbin Institute of Technology, Harbin, Heilongjiang, 150001, P.R. China","School of Mathematics, Harbin Institute of Technology, Harbin, P.R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics, Harbin Institute of Technology, Harbin, Heilongjiang, 150001, P.R. China","institution_ids":["https://openalex.org/I204983213","https://openalex.org/I4210161462"]},{"raw_affiliation_string":"School of Mathematics, Harbin Institute of Technology, Harbin, P.R. China","institution_ids":["https://openalex.org/I204983213"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5026892626","https://openalex.org/A5040655215","https://openalex.org/A5101867698"],"corresponding_institution_ids":["https://openalex.org/I182707071","https://openalex.org/I204983213","https://openalex.org/I4210161462"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.05967346,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"71","issue":"4","first_page":"5327","last_page":"5341"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9955000281333923,"subfield":{"id":"https://openalex.org/subfields/2739","display_name":"Public Health, Environmental and Occupational Health"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},"topics":[{"id":"https://openalex.org/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9955000281333923,"subfield":{"id":"https://openalex.org/subfields/2739","display_name":"Public Health, Environmental and Occupational Health"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.9804999828338623,"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"}},{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9696999788284302,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.76018226146698},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.608690619468689},{"id":"https://openalex.org/keywords/population-model","display_name":"Population model","score":0.4736660122871399},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.4643118381500244},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.41057926416397095},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.32758384943008423},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.22325348854064941},{"id":"https://openalex.org/keywords/demography","display_name":"Demography","score":0.14462798833847046}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.76018226146698},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.608690619468689},{"id":"https://openalex.org/C52079815","wikidata":"https://www.wikidata.org/wiki/Q7229808","display_name":"Population model","level":3,"score":0.4736660122871399},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.4643118381500244},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.41057926416397095},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.32758384943008423},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.22325348854064941},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.14462798833847046},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s12190-025-02438-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12190-025-02438-8","pdf_url":null,"source":{"id":"https://openalex.org/S199913245","display_name":"Journal of Applied Mathematics and Computing","issn_l":"1226-0061","issn":["1226-0061","1229-9499","1229-9502","1598-5865","1865-2085"],"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 Applied Mathematics and Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1963991798","https://openalex.org/W1983176089","https://openalex.org/W2011771253","https://openalex.org/W2021540049","https://openalex.org/W2055090968","https://openalex.org/W2061792170","https://openalex.org/W2074567235","https://openalex.org/W2101190769","https://openalex.org/W2558543231","https://openalex.org/W2794202721","https://openalex.org/W3080720759","https://openalex.org/W3095381560","https://openalex.org/W3108821940","https://openalex.org/W3121890934"],"related_works":["https://openalex.org/W4388182612","https://openalex.org/W1054418432","https://openalex.org/W2184960155","https://openalex.org/W2065562190","https://openalex.org/W2792368783","https://openalex.org/W2060272130","https://openalex.org/W3111571418","https://openalex.org/W279011767","https://openalex.org/W4402133351","https://openalex.org/W2461257222"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}