{"id":"https://openalex.org/W2899926923","doi":"https://doi.org/10.1007/s11075-018-0613-0","title":"Numerical solutions to time-fractional stochastic partial differential equations","display_name":"Numerical solutions to time-fractional stochastic partial differential equations","publication_year":2018,"publication_date":"2018-11-04","ids":{"openalex":"https://openalex.org/W2899926923","doi":"https://doi.org/10.1007/s11075-018-0613-0","mag":"2899926923"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-018-0613-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-018-0613-0","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"Numerical Algorithms","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/A5031991069","display_name":"Guang\u2010an Zou","orcid":null},"institutions":[{"id":"https://openalex.org/I173899330","display_name":"Henan University","ror":"https://ror.org/003xyzq10","country_code":"CN","type":"education","lineage":["https://openalex.org/I173899330"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Guang-an Zou","raw_affiliation_strings":["School of Mathematics and Statistics, Henan University, Kaifeng, 475004, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Henan University, Kaifeng, 475004, China","institution_ids":["https://openalex.org/I173899330"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5031991069"],"corresponding_institution_ids":["https://openalex.org/I173899330"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.9314,"has_fulltext":false,"cited_by_count":20,"citation_normalized_percentile":{"value":0.74244277,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"82","issue":"2","first_page":"553","last_page":"571"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9998999834060669,"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":0.9998999834060669,"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.995199978351593,"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"}},{"id":"https://openalex.org/T10067","display_name":"Stochastic processes and financial applications","score":0.9940999746322632,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8324977159500122},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.7268860936164856},{"id":"https://openalex.org/keywords/semigroup","display_name":"Semigroup","score":0.5413863658905029},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.5326095819473267},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5055782794952393},{"id":"https://openalex.org/keywords/analytic-semigroup","display_name":"Analytic semigroup","score":0.5024030208587646},{"id":"https://openalex.org/keywords/multiplicative-noise","display_name":"Multiplicative noise","score":0.49783754348754883},{"id":"https://openalex.org/keywords/stochastic-partial-differential-equation","display_name":"Stochastic partial differential equation","score":0.47732478380203247},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4715585708618164},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.466621994972229},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.4630034267902374},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.4461921155452728},{"id":"https://openalex.org/keywords/heat-equation","display_name":"Heat equation","score":0.41107022762298584},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.39640355110168457},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.07949170470237732}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8324977159500122},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.7268860936164856},{"id":"https://openalex.org/C207405024","wikidata":"https://www.wikidata.org/wiki/Q207348","display_name":"Semigroup","level":2,"score":0.5413863658905029},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.5326095819473267},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5055782794952393},{"id":"https://openalex.org/C2779751289","wikidata":"https://www.wikidata.org/wiki/Q485292","display_name":"Analytic semigroup","level":3,"score":0.5024030208587646},{"id":"https://openalex.org/C18015164","wikidata":"https://www.wikidata.org/wiki/Q6935000","display_name":"Multiplicative noise","level":5,"score":0.49783754348754883},{"id":"https://openalex.org/C84629840","wikidata":"https://www.wikidata.org/wiki/Q16979017","display_name":"Stochastic partial differential equation","level":3,"score":0.47732478380203247},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4715585708618164},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.466621994972229},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.4630034267902374},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.4461921155452728},{"id":"https://openalex.org/C202787564","wikidata":"https://www.wikidata.org/wiki/Q6510488","display_name":"Heat equation","level":2,"score":0.41107022762298584},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.39640355110168457},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.07949170470237732},{"id":"https://openalex.org/C13412647","wikidata":"https://www.wikidata.org/wiki/Q174948","display_name":"Analog signal","level":3,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C84462506","wikidata":"https://www.wikidata.org/wiki/Q173142","display_name":"Digital signal processing","level":2,"score":0.0},{"id":"https://openalex.org/C131021393","wikidata":"https://www.wikidata.org/wiki/Q7512759","display_name":"Signal transfer function","level":4,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"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/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11075-018-0613-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-018-0613-0","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"Numerical Algorithms","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3298465556","display_name":null,"funder_award_id":"Grant No. 11626085","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W121011854","https://openalex.org/W609699901","https://openalex.org/W617206983","https://openalex.org/W1584611818","https://openalex.org/W1965511033","https://openalex.org/W1966375731","https://openalex.org/W2008247388","https://openalex.org/W2012163408","https://openalex.org/W2041202720","https://openalex.org/W2041422028","https://openalex.org/W2042210122","https://openalex.org/W2043080303","https://openalex.org/W2045350842","https://openalex.org/W2077089662","https://openalex.org/W2082621526","https://openalex.org/W2086764121","https://openalex.org/W2092912961","https://openalex.org/W2139056865","https://openalex.org/W2166927286","https://openalex.org/W2170316986","https://openalex.org/W2795928414","https://openalex.org/W2888319398","https://openalex.org/W2962900479","https://openalex.org/W2963095203","https://openalex.org/W2963113412","https://openalex.org/W2963199059","https://openalex.org/W2964319763","https://openalex.org/W4239838448"],"related_works":["https://openalex.org/W2040350136","https://openalex.org/W4295585635","https://openalex.org/W2083355284","https://openalex.org/W1762206374","https://openalex.org/W1697484951","https://openalex.org/W4378770560","https://openalex.org/W4226238329","https://openalex.org/W4361230184","https://openalex.org/W2593368009","https://openalex.org/W2034293349"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":8},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}