{"id":"https://openalex.org/W2964483593","doi":"https://doi.org/10.1007/s10915-021-01630-9","title":"The Unified Theory of Shifted Convolution Quadrature for Fractional Calculus","display_name":"The Unified Theory of Shifted Convolution Quadrature for Fractional Calculus","publication_year":2021,"publication_date":"2021-08-30","ids":{"openalex":"https://openalex.org/W2964483593","doi":"https://doi.org/10.1007/s10915-021-01630-9","mag":"2964483593"},"language":"en","primary_location":{"id":"doi:10.1007/s10915-021-01630-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-021-01630-9","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":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1908.01136","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5054988044","display_name":"Yang Liu","orcid":"https://orcid.org/0000-0001-8218-0196"},"institutions":[{"id":"https://openalex.org/I2722730","display_name":"Inner Mongolia University","ror":"https://ror.org/0106qb496","country_code":"CN","type":"education","lineage":["https://openalex.org/I2722730"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yang Liu","raw_affiliation_strings":["School of Mathematical Sciences, Inner Mongolia University, Hohhot, China","[School of Mathematical Sciences, Inner Mongolia University, Hohhot, China]"],"raw_orcid":"https://orcid.org/0000-0001-8218-0196","affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Inner Mongolia University, Hohhot, China","institution_ids":["https://openalex.org/I2722730"]},{"raw_affiliation_string":"[School of Mathematical Sciences, Inner Mongolia University, Hohhot, China]","institution_ids":["https://openalex.org/I2722730"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004206519","display_name":"Baoli Yin","orcid":"https://orcid.org/0000-0002-2929-0289"},"institutions":[{"id":"https://openalex.org/I2722730","display_name":"Inner Mongolia University","ror":"https://ror.org/0106qb496","country_code":"CN","type":"education","lineage":["https://openalex.org/I2722730"]},{"id":"https://openalex.org/I64222039","display_name":"National University of Mongolia","ror":"https://ror.org/04855bv47","country_code":"MN","type":"education","lineage":["https://openalex.org/I64222039"]}],"countries":["CN","MN"],"is_corresponding":true,"raw_author_name":"Baoli Yin","raw_affiliation_strings":["School of Mathematical Sciences, Inner Mongolia University, Hohhot, China","#N##TAB##TAB##TAB##TAB# Inner Mongolia University#N##TAB##TAB##TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Inner Mongolia University, Hohhot, China","institution_ids":["https://openalex.org/I2722730"]},{"raw_affiliation_string":"#N##TAB##TAB##TAB##TAB# Inner Mongolia University#N##TAB##TAB##TAB#","institution_ids":["https://openalex.org/I2722730","https://openalex.org/I64222039"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058935935","display_name":"Hong Li","orcid":"https://orcid.org/0000-0002-9832-0496"},"institutions":[{"id":"https://openalex.org/I2722730","display_name":"Inner Mongolia University","ror":"https://ror.org/0106qb496","country_code":"CN","type":"education","lineage":["https://openalex.org/I2722730"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Hong Li","raw_affiliation_strings":["School of Mathematical Sciences, Inner Mongolia University, Hohhot, China","[School of Mathematical Sciences, Inner Mongolia University, Hohhot, China]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Inner Mongolia University, Hohhot, China","institution_ids":["https://openalex.org/I2722730"]},{"raw_affiliation_string":"[School of Mathematical Sciences, Inner Mongolia University, Hohhot, China]","institution_ids":["https://openalex.org/I2722730"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100406523","display_name":"Zhimin Zhang","orcid":"https://orcid.org/0000-0002-2704-6637"},"institutions":[{"id":"https://openalex.org/I185443292","display_name":"Wayne State University","ror":"https://ror.org/01070mq45","country_code":"US","type":"education","lineage":["https://openalex.org/I185443292"]},{"id":"https://openalex.org/I4210139958","display_name":"Beijing Computational Science Research Center","ror":"https://ror.org/04tavf782","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210139958"]}],"countries":["CN","US"],"is_corresponding":true,"raw_author_name":"Zhimin Zhang","raw_affiliation_strings":["Beijing Computational Science Research Center, Beijing, China","Department of Mathematics, Wayne State University, Detroit, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Beijing Computational Science Research Center, Beijing, China","institution_ids":["https://openalex.org/I4210139958"]},{"raw_affiliation_string":"Department of Mathematics, Wayne State University, Detroit, USA","institution_ids":["https://openalex.org/I185443292"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5004206519","https://openalex.org/A5054988044","https://openalex.org/A5058935935","https://openalex.org/A5100406523"],"corresponding_institution_ids":["https://openalex.org/I185443292","https://openalex.org/I2722730","https://openalex.org/I4210139958","https://openalex.org/I64222039"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":0.3377,"has_fulltext":true,"cited_by_count":7,"citation_normalized_percentile":{"value":0.5041794,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"89","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":1.0,"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":1.0,"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/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.996999979019165,"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/T11191","display_name":"Mathematical functions and polynomials","score":0.9966999888420105,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/quadrature","display_name":"Quadrature (astronomy)","score":0.7152010202407837},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7074122428894043},{"id":"https://openalex.org/keywords/convolution","display_name":"Convolution (computer science)","score":0.5594320297241211},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.49815845489501953},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.49457523226737976},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.3647499680519104},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3589942753314972},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.12232792377471924},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.06249570846557617}],"concepts":[{"id":"https://openalex.org/C62869609","wikidata":"https://www.wikidata.org/wiki/Q28137","display_name":"Quadrature (astronomy)","level":2,"score":0.7152010202407837},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7074122428894043},{"id":"https://openalex.org/C45347329","wikidata":"https://www.wikidata.org/wiki/Q5166604","display_name":"Convolution (computer science)","level":3,"score":0.5594320297241211},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.49815845489501953},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.49457523226737976},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3647499680519104},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3589942753314972},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.12232792377471924},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.06249570846557617},{"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/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","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},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s10915-021-01630-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-021-01630-9","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"},{"id":"pmh:oai:arXiv.org:1908.01136","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1908.01136","pdf_url":"https://arxiv.org/pdf/1908.01136","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"mag:2964483593","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1908.01136","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1908.01136","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1908.01136","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1908.01136","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1908.01136","pdf_url":"https://arxiv.org/pdf/1908.01136","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2446419679","display_name":"\u9ad8\u7ef4\u5206\u6570\u9636\u6a21\u578b\u7684\u57fa\u4e8e\u4e24\u7c7b\u65b0\u578b\u5206\u6570\u9636\u903c\u8fd1\u516c\u5f0f\u7684\u7b97\u6cd5\u6784\u9020\u53ca\u5176\u6570\u503c\u7406\u8bba\u7814\u7a76","funder_award_id":"12061053","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4291108966","display_name":null,"funder_award_id":"11761053","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4646362747","display_name":"\u7535\u78c1\u573a\u65b9\u7a0b\u53ca\u5176\u7279\u5f81\u503c\u95ee\u9898\u9ad8\u6548\u9ad8\u7cbe\u5ea6\u6570\u503c\u65b9\u6cd5","funder_award_id":"11871092","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2964483593.pdf","grobid_xml":"https://content.openalex.org/works/W2964483593.grobid-xml"},"referenced_works_count":50,"referenced_works":["https://openalex.org/W902939226","https://openalex.org/W1587308833","https://openalex.org/W1779031210","https://openalex.org/W1980593821","https://openalex.org/W1991982189","https://openalex.org/W2001011967","https://openalex.org/W2014845799","https://openalex.org/W2041540906","https://openalex.org/W2043080303","https://openalex.org/W2062266804","https://openalex.org/W2065232540","https://openalex.org/W2086512227","https://openalex.org/W2091244859","https://openalex.org/W2091613684","https://openalex.org/W2105723279","https://openalex.org/W2107162131","https://openalex.org/W2165076033","https://openalex.org/W2259227674","https://openalex.org/W2269998415","https://openalex.org/W2277830160","https://openalex.org/W2360890442","https://openalex.org/W2504965697","https://openalex.org/W2513307962","https://openalex.org/W2529992474","https://openalex.org/W2587540480","https://openalex.org/W2589697132","https://openalex.org/W2601627861","https://openalex.org/W2610201963","https://openalex.org/W2612471483","https://openalex.org/W2613570485","https://openalex.org/W2735222895","https://openalex.org/W2757644851","https://openalex.org/W2763401070","https://openalex.org/W2789967849","https://openalex.org/W2792947986","https://openalex.org/W2794616828","https://openalex.org/W2799821673","https://openalex.org/W2806752574","https://openalex.org/W2806868147","https://openalex.org/W2890413134","https://openalex.org/W2891433006","https://openalex.org/W2910660763","https://openalex.org/W2948345770","https://openalex.org/W2989781359","https://openalex.org/W3000427044","https://openalex.org/W3036538818","https://openalex.org/W3103086007","https://openalex.org/W4244854774","https://openalex.org/W4247465432","https://openalex.org/W6608839597"],"related_works":["https://openalex.org/W2889152654","https://openalex.org/W2952257616","https://openalex.org/W3002639329","https://openalex.org/W2606765273","https://openalex.org/W1980548952","https://openalex.org/W3134178474","https://openalex.org/W2339093954","https://openalex.org/W3180889615","https://openalex.org/W2203051406","https://openalex.org/W3103542473","https://openalex.org/W1992122601","https://openalex.org/W2061014140","https://openalex.org/W3154715416","https://openalex.org/W2248973412","https://openalex.org/W197071900","https://openalex.org/W2734896008","https://openalex.org/W3040622913","https://openalex.org/W3047258972","https://openalex.org/W3136134297","https://openalex.org/W2167685875"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":3}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}