{"id":"https://openalex.org/W3182678341","doi":"https://doi.org/10.1007/s11075-021-01161-2","title":"Sharp error estimate of a Gr\u00fcnwald\u2013Letnikov scheme for reaction-subdiffusion equations","display_name":"Sharp error estimate of a Gr\u00fcnwald\u2013Letnikov scheme for reaction-subdiffusion equations","publication_year":2021,"publication_date":"2021-07-05","ids":{"openalex":"https://openalex.org/W3182678341","doi":"https://doi.org/10.1007/s11075-021-01161-2","mag":"3182678341"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-021-01161-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-021-01161-2","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/A5026609401","display_name":"Hu Chen","orcid":"https://orcid.org/0000-0003-3297-2747"},"institutions":[{"id":"https://openalex.org/I59028903","display_name":"Ocean University of China","ror":"https://ror.org/04rdtx186","country_code":"CN","type":"education","lineage":["https://openalex.org/I59028903"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Hu Chen","raw_affiliation_strings":["School of Mathematical Sciences, Ocean University of China, 266100, Qingdao, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Ocean University of China, 266100, Qingdao, China","institution_ids":["https://openalex.org/I59028903"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109600539","display_name":"Yanhua Shi","orcid":null},"institutions":[{"id":"https://openalex.org/I903994226","display_name":"Xuchang University","ror":"https://ror.org/03k174p87","country_code":"CN","type":"education","lineage":["https://openalex.org/I903994226"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yanhua Shi","raw_affiliation_strings":["School of Science, Xuchang University, 461000, Xuchang, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Science, Xuchang University, 461000, Xuchang, China","institution_ids":["https://openalex.org/I903994226"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100353048","display_name":"Jiwei Zhang","orcid":"https://orcid.org/0000-0002-4493-7431"},"institutions":[{"id":"https://openalex.org/I37461747","display_name":"Wuhan University","ror":"https://ror.org/033vjfk17","country_code":"CN","type":"education","lineage":["https://openalex.org/I37461747"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jiwei Zhang","raw_affiliation_strings":["School of Mathematics and Statistics, and Hubei Key Laboratory of Computational Science, Wuhan Univeristy, 430072, Wuhan, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, and Hubei Key Laboratory of Computational Science, Wuhan Univeristy, 430072, Wuhan, China","institution_ids":["https://openalex.org/I37461747"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5032386955","display_name":"Yanmin Zhao","orcid":"https://orcid.org/0000-0003-1678-6717"},"institutions":[{"id":"https://openalex.org/I903994226","display_name":"Xuchang University","ror":"https://ror.org/03k174p87","country_code":"CN","type":"education","lineage":["https://openalex.org/I903994226"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yanmin Zhao","raw_affiliation_strings":["School of Science, Xuchang University, 461000, Xuchang, China"],"raw_orcid":"https://orcid.org/0000-0003-1678-6717","affiliations":[{"raw_affiliation_string":"School of Science, Xuchang University, 461000, Xuchang, China","institution_ids":["https://openalex.org/I903994226"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5026609401"],"corresponding_institution_ids":["https://openalex.org/I59028903"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":2.809,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.89633601,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"89","issue":"4","first_page":"1465","last_page":"1477"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9998999834060669,"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9994999766349792,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9991000294685364,"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/mathematics","display_name":"Mathematics","score":0.8863556385040283},{"id":"https://openalex.org/keywords/truncation-error","display_name":"Truncation error","score":0.6720856428146362},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.6102414131164551},{"id":"https://openalex.org/keywords/convolution","display_name":"Convolution (computer science)","score":0.5577653050422668},{"id":"https://openalex.org/keywords/legendre-polynomials","display_name":"Legendre polynomials","score":0.5532405972480774},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4588203728199005},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4331205189228058},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.424967497587204},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.417377233505249},{"id":"https://openalex.org/keywords/fractional-calculus","display_name":"Fractional calculus","score":0.4109852910041809},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.08443063497543335}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8863556385040283},{"id":"https://openalex.org/C104942944","wikidata":"https://www.wikidata.org/wiki/Q3434686","display_name":"Truncation error","level":2,"score":0.6720856428146362},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6102414131164551},{"id":"https://openalex.org/C45347329","wikidata":"https://www.wikidata.org/wiki/Q5166604","display_name":"Convolution (computer science)","level":3,"score":0.5577653050422668},{"id":"https://openalex.org/C111458787","wikidata":"https://www.wikidata.org/wiki/Q215405","display_name":"Legendre polynomials","level":2,"score":0.5532405972480774},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4588203728199005},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4331205189228058},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.424967497587204},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.417377233505249},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.4109852910041809},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.08443063497543335},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"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/s11075-021-01161-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-021-01161-2","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":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.4699999988079071}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W2043080303","https://openalex.org/W2316383984","https://openalex.org/W2560003211","https://openalex.org/W2619423951","https://openalex.org/W2794616828","https://openalex.org/W2799821673","https://openalex.org/W2910660763","https://openalex.org/W2963392111","https://openalex.org/W2963868979","https://openalex.org/W2995880743","https://openalex.org/W3028739883","https://openalex.org/W3098333777","https://openalex.org/W4247375400"],"related_works":["https://openalex.org/W2736737644","https://openalex.org/W3106446297","https://openalex.org/W2385225694","https://openalex.org/W2374325362","https://openalex.org/W2074688623","https://openalex.org/W2146736923","https://openalex.org/W2790191500","https://openalex.org/W4229335327","https://openalex.org/W3084022122","https://openalex.org/W2383733925"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
