{"id":"https://openalex.org/W2025315566","doi":"https://doi.org/10.1007/s10915-009-9295-z","title":"A Fast Collocation Method for Eigen-Problems of\u00a0Weakly Singular Integral Operators","display_name":"A Fast Collocation Method for Eigen-Problems of\u00a0Weakly Singular Integral Operators","publication_year":2009,"publication_date":"2009-05-02","ids":{"openalex":"https://openalex.org/W2025315566","doi":"https://doi.org/10.1007/s10915-009-9295-z","mag":"2025315566"},"language":"en","primary_location":{"id":"doi:10.1007/s10915-009-9295-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-009-9295-z","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/A5064005392","display_name":"Zhongying Chen","orcid":"https://orcid.org/0000-0001-7844-0207"},"institutions":[{"id":"https://openalex.org/I157773358","display_name":"Sun Yat-sen University","ror":"https://ror.org/0064kty71","country_code":"CN","type":"education","lineage":["https://openalex.org/I157773358"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zhongying Chen","raw_affiliation_strings":["Department of Scientific Computing and Computer Applications, Sun Yat-Sen University, Guangzhou, 510275, P.R. China","Department of Scientific Computing and Computer Applications, Sun Yat-Sen University, Guangzhou, P.R. China 510275"],"affiliations":[{"raw_affiliation_string":"Department of Scientific Computing and Computer Applications, Sun Yat-Sen University, Guangzhou, 510275, P.R. China","institution_ids":["https://openalex.org/I157773358"]},{"raw_affiliation_string":"Department of Scientific Computing and Computer Applications, Sun Yat-Sen University, Guangzhou, P.R. China 510275","institution_ids":["https://openalex.org/I157773358"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5037217684","display_name":"Gnaneshwar Nelakanti","orcid":"https://orcid.org/0000-0002-5247-9696"},"institutions":[{"id":"https://openalex.org/I145894827","display_name":"Indian Institute of Technology Kharagpur","ror":"https://ror.org/03w5sq511","country_code":"IN","type":"education","lineage":["https://openalex.org/I145894827"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Gnaneshwar Nelakanti","raw_affiliation_strings":["Department of Mathematics, Indian Institute of Technology, Kharagpur, 721302, West-Bengal, India","Department of Mathematics, Indian Institute of Technology, Kharagpur, India 721302"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Indian Institute of Technology, Kharagpur, 721302, West-Bengal, India","institution_ids":["https://openalex.org/I145894827"]},{"raw_affiliation_string":"Department of Mathematics, Indian Institute of Technology, Kharagpur, India 721302","institution_ids":["https://openalex.org/I145894827"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026572582","display_name":"Yuesheng Xu","orcid":"https://orcid.org/0000-0003-3965-3087"},"institutions":[{"id":"https://openalex.org/I70983195","display_name":"Syracuse University","ror":"https://ror.org/025r5qe02","country_code":"US","type":"education","lineage":["https://openalex.org/I70983195"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yuesheng Xu","raw_affiliation_strings":["Department of Mathematics, Syracuse University, Syracuse, NY, 13244-1150, USA","Department of Mathematics, Syracuse University, Syracuse, USA 13244-1150#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Syracuse University, Syracuse, NY, 13244-1150, USA","institution_ids":["https://openalex.org/I70983195"]},{"raw_affiliation_string":"Department of Mathematics, Syracuse University, Syracuse, USA 13244-1150#TAB#","institution_ids":["https://openalex.org/I70983195"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5046305086","display_name":"Yongdong Zhang","orcid":"https://orcid.org/0000-0002-1151-1792"},"institutions":[{"id":"https://openalex.org/I157773358","display_name":"Sun Yat-sen University","ror":"https://ror.org/0064kty71","country_code":"CN","type":"education","lineage":["https://openalex.org/I157773358"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yongdong Zhang","raw_affiliation_strings":["Department of Scientific Computing and Computer Applications, Sun Yat-Sen University, Guangzhou, 510275, P.R. China","Department of Scientific Computing and Computer Applications, Sun Yat-Sen University, Guangzhou, P.R. China 510275"],"affiliations":[{"raw_affiliation_string":"Department of Scientific Computing and Computer Applications, Sun Yat-Sen University, Guangzhou, 510275, P.R. China","institution_ids":["https://openalex.org/I157773358"]},{"raw_affiliation_string":"Department of Scientific Computing and Computer Applications, Sun Yat-Sen University, Guangzhou, P.R. China 510275","institution_ids":["https://openalex.org/I157773358"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5064005392"],"corresponding_institution_ids":["https://openalex.org/I157773358"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.7076,"has_fulltext":false,"cited_by_count":17,"citation_normalized_percentile":{"value":0.70635569,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"41","issue":"2","first_page":"256","last_page":"272"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9998999834060669,"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"}},{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9995999932289124,"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"}},{"id":"https://openalex.org/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8743079304695129},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.6977945566177368},{"id":"https://openalex.org/keywords/collocation","display_name":"Collocation (remote sensing)","score":0.6894718408584595},{"id":"https://openalex.org/keywords/truncation","display_name":"Truncation (statistics)","score":0.6331993937492371},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5475545525550842},{"id":"https://openalex.org/keywords/collocation-method","display_name":"Collocation method","score":0.5239827036857605},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5167521834373474},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.45076924562454224},{"id":"https://openalex.org/keywords/singular-integral","display_name":"Singular integral","score":0.4229018986225128},{"id":"https://openalex.org/keywords/power-iteration","display_name":"Power iteration","score":0.4225044250488281},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4137556552886963},{"id":"https://openalex.org/keywords/integral-equation","display_name":"Integral equation","score":0.3643876314163208},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.30797964334487915},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.2045435607433319},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.06763172149658203},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.06638866662979126}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8743079304695129},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.6977945566177368},{"id":"https://openalex.org/C80023036","wikidata":"https://www.wikidata.org/wiki/Q5147531","display_name":"Collocation (remote sensing)","level":2,"score":0.6894718408584595},{"id":"https://openalex.org/C106195933","wikidata":"https://www.wikidata.org/wiki/Q7847935","display_name":"Truncation (statistics)","level":2,"score":0.6331993937492371},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5475545525550842},{"id":"https://openalex.org/C2126413","wikidata":"https://www.wikidata.org/wiki/Q1779479","display_name":"Collocation method","level":4,"score":0.5239827036857605},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5167521834373474},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.45076924562454224},{"id":"https://openalex.org/C92571104","wikidata":"https://www.wikidata.org/wiki/Q888122","display_name":"Singular integral","level":3,"score":0.4229018986225128},{"id":"https://openalex.org/C162443888","wikidata":"https://www.wikidata.org/wiki/Q1426504","display_name":"Power iteration","level":3,"score":0.4225044250488281},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4137556552886963},{"id":"https://openalex.org/C27016315","wikidata":"https://www.wikidata.org/wiki/Q580101","display_name":"Integral equation","level":2,"score":0.3643876314163208},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.30797964334487915},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2045435607433319},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.06763172149658203},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.06638866662979126},{"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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/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/s10915-009-9295-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-009-9295-z","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":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W128189427","https://openalex.org/W202979919","https://openalex.org/W614581382","https://openalex.org/W1485916122","https://openalex.org/W1575147392","https://openalex.org/W1598325079","https://openalex.org/W1967818484","https://openalex.org/W1970439845","https://openalex.org/W1976796120","https://openalex.org/W1981792545","https://openalex.org/W1990669907","https://openalex.org/W2007707831","https://openalex.org/W2014208709","https://openalex.org/W2024732094","https://openalex.org/W2025957493","https://openalex.org/W2042858439","https://openalex.org/W2047028207","https://openalex.org/W2052628125","https://openalex.org/W2057292049","https://openalex.org/W2066681436","https://openalex.org/W2070510490","https://openalex.org/W2077864014","https://openalex.org/W2082414199","https://openalex.org/W2089155098","https://openalex.org/W2089751960","https://openalex.org/W2090305422","https://openalex.org/W2091491115","https://openalex.org/W2094585768","https://openalex.org/W2103047177","https://openalex.org/W2127661818","https://openalex.org/W2799267564","https://openalex.org/W3021528686"],"related_works":["https://openalex.org/W2078318892","https://openalex.org/W2791210196","https://openalex.org/W1987365920","https://openalex.org/W322101810","https://openalex.org/W2384941625","https://openalex.org/W2889856026","https://openalex.org/W2009058751","https://openalex.org/W1989122168","https://openalex.org/W2131278000","https://openalex.org/W2953063785"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}