{"id":"https://openalex.org/W2184790575","doi":"https://doi.org/10.1007/978-3-319-24021-3_18","title":"Homotopy Analysis Method for Stochastic Differential Equations with Maxima","display_name":"Homotopy Analysis Method for Stochastic Differential Equations with Maxima","publication_year":2015,"publication_date":"2015-01-01","ids":{"openalex":"https://openalex.org/W2184790575","doi":"https://doi.org/10.1007/978-3-319-24021-3_18","mag":"2184790575"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-24021-3_18","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-24021-3_18","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/A5058206243","display_name":"Maciej Janowicz","orcid":"https://orcid.org/0000-0002-1584-2089"},"institutions":[{"id":"https://openalex.org/I170230895","display_name":"Warsaw University of Life Sciences","ror":"https://ror.org/05srvzs48","country_code":"PL","type":"education","lineage":["https://openalex.org/I170230895"]},{"id":"https://openalex.org/I4210086947","display_name":"Institute of Physics","ror":"https://ror.org/000sfad56","country_code":"PL","type":"facility","lineage":["https://openalex.org/I4210086947","https://openalex.org/I99542240"]},{"id":"https://openalex.org/I99542240","display_name":"Polish Academy of Sciences","ror":"https://ror.org/01dr6c206","country_code":"PL","type":"government","lineage":["https://openalex.org/I99542240"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Maciej Janowicz","raw_affiliation_strings":["Faculty of Applied Informatics and Mathematics (WZIM), Warsaw University of Life Sciences (SGGW), ul. Nowoursynowska 159, 02-775, Warsaw, Poland","Institute of Physics of the Polish Academy of Sciences, Aleja Lotnik\u00f3w 32/46, 02-668, Warsaw, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Applied Informatics and Mathematics (WZIM), Warsaw University of Life Sciences (SGGW), ul. Nowoursynowska 159, 02-775, Warsaw, Poland","institution_ids":["https://openalex.org/I170230895"]},{"raw_affiliation_string":"Institute of Physics of the Polish Academy of Sciences, Aleja Lotnik\u00f3w 32/46, 02-668, Warsaw, Poland","institution_ids":["https://openalex.org/I99542240","https://openalex.org/I4210086947"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5054374020","display_name":"Joanna Kaleta","orcid":"https://orcid.org/0000-0001-6628-4251"},"institutions":[{"id":"https://openalex.org/I170230895","display_name":"Warsaw University of Life Sciences","ror":"https://ror.org/05srvzs48","country_code":"PL","type":"education","lineage":["https://openalex.org/I170230895"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Joanna Kaleta","raw_affiliation_strings":["Faculty of Applied Informatics and Mathematics (WZIM), Warsaw University of Life Sciences (SGGW), ul. Nowoursynowska 159, 02-775, Warsaw, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Applied Informatics and Mathematics (WZIM), Warsaw University of Life Sciences (SGGW), ul. Nowoursynowska 159, 02-775, Warsaw, Poland","institution_ids":["https://openalex.org/I170230895"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5012740670","display_name":"Filip Krzy\u017cewski","orcid":"https://orcid.org/0000-0001-8084-5617"},"institutions":[{"id":"https://openalex.org/I4210086947","display_name":"Institute of Physics","ror":"https://ror.org/000sfad56","country_code":"PL","type":"facility","lineage":["https://openalex.org/I4210086947","https://openalex.org/I99542240"]},{"id":"https://openalex.org/I99542240","display_name":"Polish Academy of Sciences","ror":"https://ror.org/01dr6c206","country_code":"PL","type":"government","lineage":["https://openalex.org/I99542240"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Filip Krzy\u017cewski","raw_affiliation_strings":["Institute of Physics of the Polish Academy of Sciences, Aleja Lotnik\u00f3w 32/46, 02-668, Warsaw, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Physics of the Polish Academy of Sciences, Aleja Lotnik\u00f3w 32/46, 02-668, Warsaw, Poland","institution_ids":["https://openalex.org/I99542240","https://openalex.org/I4210086947"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5027843504","display_name":"Marian Rusek","orcid":"https://orcid.org/0000-0002-9978-7530"},"institutions":[{"id":"https://openalex.org/I170230895","display_name":"Warsaw University of Life Sciences","ror":"https://ror.org/05srvzs48","country_code":"PL","type":"education","lineage":["https://openalex.org/I170230895"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Marian Rusek","raw_affiliation_strings":["Faculty of Applied Informatics and Mathematics (WZIM), Warsaw University of Life Sciences (SGGW), ul. Nowoursynowska 159, 02-775, Warsaw, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Applied Informatics and Mathematics (WZIM), Warsaw University of Life Sciences (SGGW), ul. Nowoursynowska 159, 02-775, Warsaw, Poland","institution_ids":["https://openalex.org/I170230895"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5061993696","display_name":"Arkadiusz Or\u0142owski","orcid":"https://orcid.org/0000-0002-6755-1830"},"institutions":[{"id":"https://openalex.org/I170230895","display_name":"Warsaw University of Life Sciences","ror":"https://ror.org/05srvzs48","country_code":"PL","type":"education","lineage":["https://openalex.org/I170230895"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Arkadiusz Or\u0142owski","raw_affiliation_strings":["Faculty of Applied Informatics and Mathematics (WZIM), Warsaw University of Life Sciences (SGGW), ul. Nowoursynowska 159, 02-775, Warsaw, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Applied Informatics and Mathematics (WZIM), Warsaw University of Life Sciences (SGGW), ul. Nowoursynowska 159, 02-775, Warsaw, Poland","institution_ids":["https://openalex.org/I170230895"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.06626506,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"233","last_page":"244"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9997000098228455,"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"}},"topics":[{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9997000098228455,"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/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9891999959945679,"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.9873999953269958,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/homotopy-analysis-method","display_name":"Homotopy analysis method","score":0.9097240567207336},{"id":"https://openalex.org/keywords/stochastic-differential-equation","display_name":"Stochastic differential equation","score":0.5845173597335815},{"id":"https://openalex.org/keywords/homotopy","display_name":"Homotopy","score":0.5832457542419434},{"id":"https://openalex.org/keywords/stochastic-partial-differential-equation","display_name":"Stochastic partial differential equation","score":0.5461649894714355},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.5244446396827698},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.5219492316246033},{"id":"https://openalex.org/keywords/maxima","display_name":"Maxima","score":0.5073391795158386},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.44645771384239197},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.43707484006881714},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.4230504035949707},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4228048324584961},{"id":"https://openalex.org/keywords/numerical-partial-differential-equations","display_name":"Numerical partial differential equations","score":0.4101606607437134},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.39845559000968933},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.39721915125846863},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.32553979754447937},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2675849497318268},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12186771631240845},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.11678603291511536},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.11074882745742798}],"concepts":[{"id":"https://openalex.org/C173636693","wikidata":"https://www.wikidata.org/wiki/Q17030668","display_name":"Homotopy analysis method","level":3,"score":0.9097240567207336},{"id":"https://openalex.org/C51955184","wikidata":"https://www.wikidata.org/wiki/Q1545585","display_name":"Stochastic differential equation","level":2,"score":0.5845173597335815},{"id":"https://openalex.org/C5961521","wikidata":"https://www.wikidata.org/wiki/Q746083","display_name":"Homotopy","level":2,"score":0.5832457542419434},{"id":"https://openalex.org/C84629840","wikidata":"https://www.wikidata.org/wiki/Q16979017","display_name":"Stochastic partial differential equation","level":3,"score":0.5461649894714355},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.5244446396827698},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.5219492316246033},{"id":"https://openalex.org/C91528185","wikidata":"https://www.wikidata.org/wiki/Q520952","display_name":"Maxima","level":3,"score":0.5073391795158386},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.44645771384239197},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.43707484006881714},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.4230504035949707},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4228048324584961},{"id":"https://openalex.org/C97826883","wikidata":"https://www.wikidata.org/wiki/Q7069659","display_name":"Numerical partial differential equations","level":3,"score":0.4101606607437134},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39845559000968933},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.39721915125846863},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.32553979754447937},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2675849497318268},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12186771631240845},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.11678603291511536},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.11074882745742798},{"id":"https://openalex.org/C52119013","wikidata":"https://www.wikidata.org/wiki/Q50637","display_name":"Art history","level":1,"score":0.0},{"id":"https://openalex.org/C554144382","wikidata":"https://www.wikidata.org/wiki/Q213156","display_name":"Performance art","level":2,"score":0.0},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-319-24021-3_18","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-24021-3_18","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":20,"referenced_works":["https://openalex.org/W1503504256","https://openalex.org/W1573631469","https://openalex.org/W1595848081","https://openalex.org/W1608234917","https://openalex.org/W1679051047","https://openalex.org/W1976196891","https://openalex.org/W1977344101","https://openalex.org/W1988130420","https://openalex.org/W2012249196","https://openalex.org/W2028697190","https://openalex.org/W2059348829","https://openalex.org/W2063222758","https://openalex.org/W2078872343","https://openalex.org/W2097982718","https://openalex.org/W2119794696","https://openalex.org/W2144522870","https://openalex.org/W2149199266","https://openalex.org/W4211155683","https://openalex.org/W4232178255","https://openalex.org/W4254879547"],"related_works":["https://openalex.org/W2362256999","https://openalex.org/W2007245702","https://openalex.org/W2006263304","https://openalex.org/W2155548976","https://openalex.org/W2048873866","https://openalex.org/W3020098708","https://openalex.org/W2482000553","https://openalex.org/W4254928846","https://openalex.org/W591031131","https://openalex.org/W4235225734"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}