{"id":"https://openalex.org/W2986790682","doi":"https://doi.org/10.1007/s10915-019-01091-1","title":"Asymptotic Stability of Compact and Linear $$\\theta $$-Methods for Space Fractional Delay Generalized Diffusion Equation","display_name":"Asymptotic Stability of Compact and Linear $$\\theta $$-Methods for Space Fractional Delay Generalized Diffusion Equation","publication_year":2019,"publication_date":"2019-11-11","ids":{"openalex":"https://openalex.org/W2986790682","doi":"https://doi.org/10.1007/s10915-019-01091-1","mag":"2986790682"},"language":"en","primary_location":{"id":"doi:10.1007/s10915-019-01091-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-019-01091-1","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"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":"Journal of Scientific Computing","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/A5100661021","display_name":"Qifeng Zhang","orcid":"https://orcid.org/0000-0002-2742-2188"},"institutions":[{"id":"https://openalex.org/I1328775524","display_name":"Zhejiang Sci-Tech University","ror":"https://ror.org/03893we55","country_code":"CN","type":"education","lineage":["https://openalex.org/I1328775524"]},{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Qifeng Zhang","raw_affiliation_strings":["Department of Mathematics, Southeast University, Nanjing, 210096, China","Department of Mathematics, Zhejiang Sci-Tech University, Hangzhou, 310018, China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Southeast University, Nanjing, 210096, China","institution_ids":["https://openalex.org/I76569877"]},{"raw_affiliation_string":"Department of Mathematics, Zhejiang Sci-Tech University, Hangzhou, 310018, China","institution_ids":["https://openalex.org/I1328775524"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5000381693","display_name":"Tingyue Li","orcid":null},"institutions":[{"id":"https://openalex.org/I1328775524","display_name":"Zhejiang Sci-Tech University","ror":"https://ror.org/03893we55","country_code":"CN","type":"education","lineage":["https://openalex.org/I1328775524"]},{"id":"https://openalex.org/I181679659","display_name":"Shanghai University of Finance and Economics","ror":"https://ror.org/00wtvfq62","country_code":"CN","type":"education","lineage":["https://openalex.org/I181679659"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Tingyue Li","raw_affiliation_strings":["Department of Mathematics, Zhejiang Sci-Tech University, Hangzhou, 310018, China","School of Mathematics, Shanghai University of Finance and Economics, Shanghai, 200433, China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Zhejiang Sci-Tech University, Hangzhou, 310018, China","institution_ids":["https://openalex.org/I1328775524"]},{"raw_affiliation_string":"School of Mathematics, Shanghai University of Finance and Economics, Shanghai, 200433, China","institution_ids":["https://openalex.org/I181679659"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100661021"],"corresponding_institution_ids":["https://openalex.org/I1328775524","https://openalex.org/I76569877"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":2.1465,"has_fulltext":false,"cited_by_count":24,"citation_normalized_percentile":{"value":0.87401575,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"81","issue":"3","first_page":"2413","last_page":"2446"},"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":0.9998000264167786,"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9968000054359436,"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":0.9063378572463989},{"id":"https://openalex.org/keywords/fractional-calculus","display_name":"Fractional calculus","score":0.5737642049789429},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4954460859298706},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4928719997406006},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.47786563634872437},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.46898871660232544},{"id":"https://openalex.org/keywords/stability-theory","display_name":"Stability theory","score":0.4663827419281006},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.4581749141216278},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.44366374611854553},{"id":"https://openalex.org/keywords/delay-differential-equation","display_name":"Delay differential equation","score":0.4361013174057007},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.35315364599227905},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.1688491702079773},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.0982992947101593}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9063378572463989},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.5737642049789429},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4954460859298706},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4928719997406006},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.47786563634872437},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.46898871660232544},{"id":"https://openalex.org/C41949839","wikidata":"https://www.wikidata.org/wiki/Q1756677","display_name":"Stability theory","level":3,"score":0.4663827419281006},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.4581749141216278},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.44366374611854553},{"id":"https://openalex.org/C147504518","wikidata":"https://www.wikidata.org/wiki/Q2146125","display_name":"Delay differential equation","level":3,"score":0.4361013174057007},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.35315364599227905},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.1688491702079773},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.0982992947101593},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10915-019-01091-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-019-01091-1","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"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":"Journal of Scientific Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3371670323","display_name":null,"funder_award_id":"LY19A010026","funder_id":"https://openalex.org/F4320338464","funder_display_name":"Natural Science Foundation of Zhejiang Province"},{"id":"https://openalex.org/G4265419819","display_name":null,"funder_award_id":"2018M642131","funder_id":"https://openalex.org/F4320335443","funder_display_name":"Postdoctoral Research Foundation of China"},{"id":"https://openalex.org/G876165381","display_name":null,"funder_award_id":"11501514","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"},{"id":"https://openalex.org/F4320335443","display_name":"Postdoctoral Research Foundation of China","ror":null},{"id":"https://openalex.org/F4320338464","display_name":"Natural Science Foundation of Zhejiang Province","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":70,"referenced_works":["https://openalex.org/W40822717","https://openalex.org/W45047736","https://openalex.org/W605044866","https://openalex.org/W1522745717","https://openalex.org/W1963927951","https://openalex.org/W1966308826","https://openalex.org/W1972474856","https://openalex.org/W1974267666","https://openalex.org/W1991982189","https://openalex.org/W1994204687","https://openalex.org/W1997432471","https://openalex.org/W2000528499","https://openalex.org/W2001011967","https://openalex.org/W2002760970","https://openalex.org/W2003202721","https://openalex.org/W2005775749","https://openalex.org/W2006884639","https://openalex.org/W2009063484","https://openalex.org/W2009155935","https://openalex.org/W2010666826","https://openalex.org/W2016230799","https://openalex.org/W2017568798","https://openalex.org/W2025159382","https://openalex.org/W2030122838","https://openalex.org/W2037274488","https://openalex.org/W2042388195","https://openalex.org/W2045463928","https://openalex.org/W2045818435","https://openalex.org/W2048554912","https://openalex.org/W2054899953","https://openalex.org/W2055148154","https://openalex.org/W2055856733","https://openalex.org/W2060016579","https://openalex.org/W2063898196","https://openalex.org/W2067513555","https://openalex.org/W2068285571","https://openalex.org/W2069987059","https://openalex.org/W2078382106","https://openalex.org/W2094799761","https://openalex.org/W2105723279","https://openalex.org/W2107162131","https://openalex.org/W2114010261","https://openalex.org/W2132105090","https://openalex.org/W2164848779","https://openalex.org/W2189911743","https://openalex.org/W2214443391","https://openalex.org/W2334407529","https://openalex.org/W2345092966","https://openalex.org/W2425076639","https://openalex.org/W2488513708","https://openalex.org/W2498216762","https://openalex.org/W2559764606","https://openalex.org/W2588029474","https://openalex.org/W2590181264","https://openalex.org/W2741724023","https://openalex.org/W2753071462","https://openalex.org/W2765519574","https://openalex.org/W2775785918","https://openalex.org/W2781754946","https://openalex.org/W2787959293","https://openalex.org/W2795250543","https://openalex.org/W2802027832","https://openalex.org/W2803870043","https://openalex.org/W2940691773","https://openalex.org/W2955902581","https://openalex.org/W2968014749","https://openalex.org/W2977318642","https://openalex.org/W3106303935","https://openalex.org/W3209416867","https://openalex.org/W4240793405"],"related_works":["https://openalex.org/W2074717584","https://openalex.org/W4285551356","https://openalex.org/W327603423","https://openalex.org/W2963352210","https://openalex.org/W4301805170","https://openalex.org/W1708834020","https://openalex.org/W4246323976","https://openalex.org/W2541551113","https://openalex.org/W2984926096","https://openalex.org/W2562682806"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":12},{"year":2020,"cited_by_count":6}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}