{"id":"https://openalex.org/W1589001030","doi":"https://doi.org/10.1007/978-3-642-11389-5_1","title":"Mean Square Convergent Numerical Methods for Nonlinear Random Differential Equations","display_name":"Mean Square Convergent Numerical Methods for Nonlinear Random Differential Equations","publication_year":2010,"publication_date":"2010-01-01","ids":{"openalex":"https://openalex.org/W1589001030","doi":"https://doi.org/10.1007/978-3-642-11389-5_1","mag":"1589001030"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-11389-5_1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-11389-5_1","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5001284929","display_name":"J.\u2010C. Cort\u00e9s","orcid":"https://orcid.org/0000-0002-6528-2155"},"institutions":[{"id":"https://openalex.org/I60053951","display_name":"Universitat Polit\u00e8cnica de Val\u00e8ncia","ror":"https://ror.org/01460j859","country_code":"ES","type":"education","lineage":["https://openalex.org/I60053951"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"J. -C. Cort\u00e9s","raw_affiliation_strings":["Instituto Universitario de Matem\u00e1tica Multidisciplinar, Universidad Polit\u00e9cnica de Valencia, Edificio 8G, 2a, P.O. Box 22012, Valencia, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Instituto Universitario de Matem\u00e1tica Multidisciplinar, Universidad Polit\u00e9cnica de Valencia, Edificio 8G, 2a, P.O. Box 22012, Valencia, Spain","institution_ids":["https://openalex.org/I60053951"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083229284","display_name":"L. J\u00f3dar","orcid":"https://orcid.org/0000-0002-9672-6249"},"institutions":[{"id":"https://openalex.org/I60053951","display_name":"Universitat Polit\u00e8cnica de Val\u00e8ncia","ror":"https://ror.org/01460j859","country_code":"ES","type":"education","lineage":["https://openalex.org/I60053951"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"L. J\u00f3dar","raw_affiliation_strings":["Instituto Universitario de Matem\u00e1tica Multidisciplinar, Universidad Polit\u00e9cnica de Valencia, Edificio 8G, 2a, P.O. Box 22012, Valencia, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Instituto Universitario de Matem\u00e1tica Multidisciplinar, Universidad Polit\u00e9cnica de Valencia, Edificio 8G, 2a, P.O. Box 22012, Valencia, Spain","institution_ids":["https://openalex.org/I60053951"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5081099253","display_name":"Rafael J. Villanueva","orcid":"https://orcid.org/0000-0002-0131-0532"},"institutions":[{"id":"https://openalex.org/I60053951","display_name":"Universitat Polit\u00e8cnica de Val\u00e8ncia","ror":"https://ror.org/01460j859","country_code":"ES","type":"education","lineage":["https://openalex.org/I60053951"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"R. -J. Villanueva","raw_affiliation_strings":["Instituto Universitario de Matem\u00e1tica Multidisciplinar, Universidad Polit\u00e9cnica de Valencia, Edificio 8G, 2a, P.O. Box 22012, Valencia, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Instituto Universitario de Matem\u00e1tica Multidisciplinar, Universidad Polit\u00e9cnica de Valencia, Edificio 8G, 2a, P.O. Box 22012, Valencia, Spain","institution_ids":["https://openalex.org/I60053951"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5009864461","display_name":"L. Villafuerte","orcid":"https://orcid.org/0000-0001-8281-2819"},"institutions":[{"id":"https://openalex.org/I4210136187","display_name":"Universidad Aut\u00f3noma de Chiapas","ror":"https://ror.org/04eexme77","country_code":"MX","type":"education","lineage":["https://openalex.org/I4210136187"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"L. Villafuerte","raw_affiliation_strings":["Facultad de Ingenier\u00eda, Universidad Aut\u00f3noma de Chiapas, Calle 4a Ote. Nte. 1428, Tuxtla Guti\u00e9rrez, Chiapas, M\u00e9xico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Facultad de Ingenier\u00eda, Universidad Aut\u00f3noma de Chiapas, Calle 4a Ote. Nte. 1428, Tuxtla Guti\u00e9rrez, Chiapas, M\u00e9xico","institution_ids":["https://openalex.org/I4210136187"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":2.5641,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.89361702,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"21"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T13126","display_name":"Scientific Research and Discoveries","score":0.988099992275238,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9843999743461609,"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":[{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6574417948722839},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6446582078933716},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.6090296506881714},{"id":"https://openalex.org/keywords/mean-square","display_name":"Mean square","score":0.5968019962310791},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5801852941513062},{"id":"https://openalex.org/keywords/square","display_name":"Square (algebra)","score":0.5262757539749146},{"id":"https://openalex.org/keywords/stochastic-differential-equation","display_name":"Stochastic differential equation","score":0.5027704238891602},{"id":"https://openalex.org/keywords/stochastic-process","display_name":"Stochastic process","score":0.4578579366207123},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.44564756751060486},{"id":"https://openalex.org/keywords/convergence-of-random-variables","display_name":"Convergence of random variables","score":0.42879506945610046},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3920553922653198},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.24959370493888855},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1944471299648285},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.14746573567390442},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.05898404121398926}],"concepts":[{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6574417948722839},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6446582078933716},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.6090296506881714},{"id":"https://openalex.org/C2988709989","wikidata":"https://www.wikidata.org/wiki/Q85784623","display_name":"Mean square","level":2,"score":0.5968019962310791},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5801852941513062},{"id":"https://openalex.org/C135692309","wikidata":"https://www.wikidata.org/wiki/Q111124","display_name":"Square (algebra)","level":2,"score":0.5262757539749146},{"id":"https://openalex.org/C51955184","wikidata":"https://www.wikidata.org/wiki/Q1545585","display_name":"Stochastic differential equation","level":2,"score":0.5027704238891602},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.4578579366207123},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.44564756751060486},{"id":"https://openalex.org/C95763700","wikidata":"https://www.wikidata.org/wiki/Q578985","display_name":"Convergence of random variables","level":3,"score":0.42879506945610046},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3920553922653198},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.24959370493888855},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1944471299648285},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.14746573567390442},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.05898404121398926},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-642-11389-5_1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-11389-5_1","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W36225591","https://openalex.org/W276329159","https://openalex.org/W2017012107","https://openalex.org/W2026577854","https://openalex.org/W2077221255","https://openalex.org/W2092264912","https://openalex.org/W2095035481","https://openalex.org/W2136003379","https://openalex.org/W2798909945","https://openalex.org/W4210300258"],"related_works":["https://openalex.org/W3102623159","https://openalex.org/W2366911843","https://openalex.org/W2350577681","https://openalex.org/W2322239237","https://openalex.org/W2360117988","https://openalex.org/W2902606351","https://openalex.org/W171914860","https://openalex.org/W2060317829","https://openalex.org/W4249297485","https://openalex.org/W2068135454"],"abstract_inverted_index":null,"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2012,"cited_by_count":3}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}