{"id":"https://openalex.org/W4226282464","doi":"https://doi.org/10.1016/j.matcom.2022.03.026","title":"Analysis of collocation methods for a class of third-kind auto-convolution Volterra integral equations","display_name":"Analysis of collocation methods for a class of third-kind auto-convolution Volterra integral equations","publication_year":2022,"publication_date":"2022-04-07","ids":{"openalex":"https://openalex.org/W4226282464","doi":"https://doi.org/10.1016/j.matcom.2022.03.026"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.matcom.2022.03.026","pdf_url":null,"source":{"id":"https://openalex.org/S32114090","display_name":"Mathematics and Computers in Simulation","issn_l":"0378-4754","issn":["0378-4754","1872-7166"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"journal-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/A5100360825","display_name":"Yuping Li","orcid":"https://orcid.org/0000-0003-2490-0436"},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yuping Li","raw_affiliation_strings":["School of Science, Harbin Institute of Technology, Shenzhen, 518055, China"],"affiliations":[{"raw_affiliation_string":"School of Science, Harbin Institute of Technology, Shenzhen, 518055, China","institution_ids":["https://openalex.org/I204983213"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5040655215","display_name":"Zhanwen Yang","orcid":"https://orcid.org/0000-0001-6617-4642"},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhanwen Yang","raw_affiliation_strings":["School of Mathematics, Harbin Institute of Technology, Harbin, 150001, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, Harbin Institute of Technology, Harbin, 150001, China","institution_ids":["https://openalex.org/I204983213"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5003689726","display_name":"Hui Liang","orcid":"https://orcid.org/0000-0002-4864-7052"},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Hui Liang","raw_affiliation_strings":["School of Science, Harbin Institute of Technology, Shenzhen, 518055, China"],"affiliations":[{"raw_affiliation_string":"School of Science, Harbin Institute of Technology, Shenzhen, 518055, China","institution_ids":["https://openalex.org/I204983213"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5003689726"],"corresponding_institution_ids":["https://openalex.org/I204983213"],"apc_list":{"value":1740,"currency":"USD","value_usd":1740,"provenance":"doaj"},"apc_paid":null,"fwci":0.467,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.619923,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":76,"max":80},"biblio":{"volume":"199","issue":null,"first_page":"341","last_page":"358"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9999,"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":0.9999,"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/T10514","display_name":"Numerical methods in engineering","score":0.9984,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9977,"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/orthogonal-collocation","display_name":"Orthogonal collocation","score":0.4938386},{"id":"https://openalex.org/keywords/convolution","display_name":"Convolution (computer science)","score":0.4834617},{"id":"https://openalex.org/keywords/collocation","display_name":"Collocation (remote sensing)","score":0.4657567}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8218057},{"id":"https://openalex.org/C21965488","wikidata":"https://www.wikidata.org/wiki/Q2632613","display_name":"Volterra integral equation","level":3,"score":0.8004004},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.6556554},{"id":"https://openalex.org/C2126413","wikidata":"https://www.wikidata.org/wiki/Q1779479","display_name":"Collocation method","level":4,"score":0.6543045},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.6287594},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.5218281},{"id":"https://openalex.org/C27016315","wikidata":"https://www.wikidata.org/wiki/Q580101","display_name":"Integral equation","level":2,"score":0.5206408},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5019386},{"id":"https://openalex.org/C114609681","wikidata":"https://www.wikidata.org/wiki/Q24839227","display_name":"Orthogonal collocation","level":5,"score":0.4938386},{"id":"https://openalex.org/C45347329","wikidata":"https://www.wikidata.org/wiki/Q5166604","display_name":"Convolution (computer science)","level":3,"score":0.4834617},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.47011745},{"id":"https://openalex.org/C80023036","wikidata":"https://www.wikidata.org/wiki/Q5147531","display_name":"Collocation (remote sensing)","level":2,"score":0.4657567},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.46137914},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.39103073},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.13419715},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.103227824},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"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/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"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/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.matcom.2022.03.026","pdf_url":null,"source":{"id":"https://openalex.org/S32114090","display_name":"Mathematics and Computers in Simulation","issn_l":"0378-4754","issn":["0378-4754","1872-7166"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false}],"best_oa_location":null,"sustainable_development_goals":[],"grants":[{"funder":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China","award_id":"11771128"},{"funder":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China","award_id":"12171122"},{"funder":"https://openalex.org/F4320326705","funder_display_name":"Science, Technology and Innovation Commission of Shenzhen Municipality","award_id":"RCJC20210609103755110"},{"funder":"https://openalex.org/F4320329791","funder_display_name":"Shenzhen Fundamental Research Program","award_id":"JCYJ20190806143201649"}],"datasets":[],"versions":[],"referenced_works_count":16,"referenced_works":["https://openalex.org/W1537337007","https://openalex.org/W1567668233","https://openalex.org/W1963698771","https://openalex.org/W1979762896","https://openalex.org/W1986683394","https://openalex.org/W1988394916","https://openalex.org/W1998424577","https://openalex.org/W2010823668","https://openalex.org/W2018483745","https://openalex.org/W2019989304","https://openalex.org/W2020648078","https://openalex.org/W2077542865","https://openalex.org/W2245233932","https://openalex.org/W2315579464","https://openalex.org/W2904511372","https://openalex.org/W2977437429"],"related_works":["https://openalex.org/W4255016916","https://openalex.org/W2889856026","https://openalex.org/W2791210196","https://openalex.org/W2536379864","https://openalex.org/W2267613321","https://openalex.org/W2111003632","https://openalex.org/W2078318892","https://openalex.org/W2000247808","https://openalex.org/W1989122168","https://openalex.org/W1987365920"],"abstract_inverted_index":null,"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W4226282464","counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1}],"updated_date":"2024-12-09T12:28:56.348027","created_date":"2022-05-05"}