{"id":"https://openalex.org/W1983111752","doi":"https://doi.org/10.1080/00207160310001606043","title":"Exact and fast numerical algorithms for the stochastic wave equation","display_name":"Exact and fast numerical algorithms for the stochastic wave equation","publication_year":2003,"publication_date":"2003-12-01","ids":{"openalex":"https://openalex.org/W1983111752","doi":"https://doi.org/10.1080/00207160310001606043","mag":"1983111752"},"language":"en","primary_location":{"id":"doi:10.1080/00207160310001606043","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160310001606043","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.5282/ubm/epub.1725","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5113631551","display_name":"Andreas Martin","orcid":null},"institutions":[{"id":"https://openalex.org/I4210127477","display_name":"Institute of Groundwater Ecology","ror":"https://ror.org/03fp59e94","country_code":"DE","type":"nonprofit","lineage":["https://openalex.org/I4210127477","https://openalex.org/I4387152675"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Andreas Martin","raw_affiliation_strings":["GSF\u2014National Research Centre for Environment and Health,  Institute of Biomathematics and Biometry  , Ingolst\u00e4dter Landstra\u00dfe 1, 85764, Neuherberg/M\u00fcnchen,  Germany","GSF\u2014National Research Centre for Environment and Health, Institute of Biomathematics and Biometry , Ingolst\u00e4dter Landstra\u00dfe 1, 85764, Neuherberg/M\u00fcnchen, Germany"],"affiliations":[{"raw_affiliation_string":"GSF\u2014National Research Centre for Environment and Health,  Institute of Biomathematics and Biometry  , Ingolst\u00e4dter Landstra\u00dfe 1, 85764, Neuherberg/M\u00fcnchen,  Germany","institution_ids":["https://openalex.org/I4210127477"]},{"raw_affiliation_string":"GSF\u2014National Research Centre for Environment and Health, Institute of Biomathematics and Biometry , Ingolst\u00e4dter Landstra\u00dfe 1, 85764, Neuherberg/M\u00fcnchen, Germany","institution_ids":["https://openalex.org/I4210127477"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5040571019","display_name":"S. M. Prigarin","orcid":"https://orcid.org/0000-0001-8044-9251"},"institutions":[{"id":"https://openalex.org/I4210110796","display_name":"Institute of Computational Mathematics and Mathematical Geophysics","ror":"https://ror.org/01z686714","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I4210110796","https://openalex.org/I4210124601"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Sergei M. Prigarin\u2020","raw_affiliation_strings":["Institute of Computational Mathematics and Mathematical Geophysics , pr. Lavrentieva 6, Novosibirsk, 630090,  Russia","Institute of Computational Mathematics and Mathematical Geophysics , pr. Lavrentieva 6, Novosibirsk, 630090, Russia"],"affiliations":[{"raw_affiliation_string":"Institute of Computational Mathematics and Mathematical Geophysics , pr. Lavrentieva 6, Novosibirsk, 630090,  Russia","institution_ids":["https://openalex.org/I4210110796"]},{"raw_affiliation_string":"Institute of Computational Mathematics and Mathematical Geophysics , pr. Lavrentieva 6, Novosibirsk, 630090, Russia","institution_ids":["https://openalex.org/I4210110796"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5113650220","display_name":"Gerhard Winkler","orcid":null},"institutions":[{"id":"https://openalex.org/I4210127477","display_name":"Institute of Groundwater Ecology","ror":"https://ror.org/03fp59e94","country_code":"DE","type":"nonprofit","lineage":["https://openalex.org/I4210127477","https://openalex.org/I4387152675"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Gerhard Winkler\u2021","raw_affiliation_strings":["GSF\u2014National Research Centre for Environment and Health,  Institute of Biomathematics and Biometry  , Ingolst\u00e4dter Landstra\u00dfe 1, 85764, Neuherberg/M\u00fcnchen,  Germany","GSF\u2014National Research Centre for Environment and Health, Institute of Biomathematics and Biometry , Ingolst\u00e4dter Landstra\u00dfe 1, 85764, Neuherberg/M\u00fcnchen, Germany"],"affiliations":[{"raw_affiliation_string":"GSF\u2014National Research Centre for Environment and Health,  Institute of Biomathematics and Biometry  , Ingolst\u00e4dter Landstra\u00dfe 1, 85764, Neuherberg/M\u00fcnchen,  Germany","institution_ids":["https://openalex.org/I4210127477"]},{"raw_affiliation_string":"GSF\u2014National Research Centre for Environment and Health, Institute of Biomathematics and Biometry , Ingolst\u00e4dter Landstra\u00dfe 1, 85764, Neuherberg/M\u00fcnchen, Germany","institution_ids":["https://openalex.org/I4210127477"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5113631551"],"corresponding_institution_ids":["https://openalex.org/I4210127477"],"apc_list":null,"apc_paid":null,"fwci":2.845,"has_fulltext":false,"cited_by_count":19,"citation_normalized_percentile":{"value":0.91066098,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"80","issue":"12","first_page":"1535","last_page":"1541"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10067","display_name":"Stochastic processes and financial applications","score":0.9998000264167786,"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":0.9998000264167786,"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/T10282","display_name":"Financial Risk and Volatility Modeling","score":0.9869999885559082,"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9781000018119812,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.747289776802063},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.532279372215271},{"id":"https://openalex.org/keywords/dirichlet-boundary-condition","display_name":"Dirichlet boundary condition","score":0.531825602054596},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5265738368034363},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.4709518849849701},{"id":"https://openalex.org/keywords/wave-equation","display_name":"Wave equation","score":0.4569227695465088},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.407115638256073},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3817020058631897},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.37211987376213074},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.10876622796058655}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.747289776802063},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.532279372215271},{"id":"https://openalex.org/C110167270","wikidata":"https://www.wikidata.org/wiki/Q1193699","display_name":"Dirichlet boundary condition","level":3,"score":0.531825602054596},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5265738368034363},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.4709518849849701},{"id":"https://openalex.org/C59696629","wikidata":"https://www.wikidata.org/wiki/Q193846","display_name":"Wave equation","level":2,"score":0.4569227695465088},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.407115638256073},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3817020058631897},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.37211987376213074},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.10876622796058655},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1080/00207160310001606043","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160310001606043","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.92.7337","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.92.7337","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://epub.ub.uni-muenchen.de/1725/1/paper_349.pdf","raw_type":"text"},{"id":"pmh:oai:econstor.eu:10419/31102","is_oa":false,"landing_page_url":"http://hdl.handle.net/10419/31102","pdf_url":null,"source":{"id":"https://openalex.org/S4306401696","display_name":"Econstor (Econstor)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"doc-type:workingPaper"},{"id":"pmh:oai:epub.ub.uni-muenchen.de:1725","is_oa":false,"landing_page_url":"https://epub.ub.uni-muenchen.de/1725/","pdf_url":null,"source":{"id":"https://openalex.org/S4306401845","display_name":"Open access LMU (Ludwid Maxmilian's Universitat Munchen)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I8204097","host_organization_name":"Ludwig-Maximilians-Universit\u00e4t M\u00fcnchen","host_organization_lineage":["https://openalex.org/I8204097"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"doc-type:workingPaper"},{"id":"pmh:oai:opus-zb.helmholtz-muenchen.de:22799","is_oa":false,"landing_page_url":"https://push-zb.helmholtz-muenchen.de/frontdoor.php?source_opus=22799","pdf_url":null,"source":{"id":"https://openalex.org/S4377196115","display_name":"Site cant be reached","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Int. J. Comput. Math. 80, 1535-1541 (2003)","raw_type":"article"},{"id":"doi:10.5282/ubm/epub.1725","is_oa":true,"landing_page_url":"https://doi.org/10.5282/ubm/epub.1725","pdf_url":null,"source":{"id":"https://openalex.org/S7407052039","display_name":"Universit\u00e4tsbibliothek der LMU","issn_l":null,"issn":[],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"doi:10.5282/ubm/epub.1725","is_oa":true,"landing_page_url":"https://doi.org/10.5282/ubm/epub.1725","pdf_url":null,"source":{"id":"https://openalex.org/S7407052039","display_name":"Universit\u00e4tsbibliothek der LMU","issn_l":null,"issn":[],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320875","display_name":"Deutscher Akademischer Austauschdienst","ror":"https://ror.org/039djdh30"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":4,"referenced_works":["https://openalex.org/W594202426","https://openalex.org/W1968339027","https://openalex.org/W1988989650","https://openalex.org/W2149160432"],"related_works":["https://openalex.org/W2068031792","https://openalex.org/W3188476162","https://openalex.org/W2506697880","https://openalex.org/W3064106082","https://openalex.org/W1988058848","https://openalex.org/W2076624356","https://openalex.org/W2015699640","https://openalex.org/W2039127249","https://openalex.org/W4200126783","https://openalex.org/W2019135187"],"abstract_inverted_index":{"On":[0],"the":[1,13,17],"basis":[2],"of":[3],"integral":[4],"representations":[5],"we":[6],"propose":[7],"fast":[8],"numerical":[9],"methods":[10],"to":[11],"solve":[12],"Cauchy":[14],"problem":[15],"for":[16],"stochastic":[18],"wave":[19],"equation":[20],"without":[21],"boundaries":[22],"and":[23],"with":[24],"Dirichlet":[25],"boundary":[26],"conditions.":[27],"The":[28],"algorithms":[29],"are":[30],"exact":[31],"in":[32],"a":[33],"probabilistic":[34],"sense.":[35]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
