{"id":"https://openalex.org/W2006232871","doi":"https://doi.org/10.1080/00207169808804694","title":"On The numerical evaluation of singular integrals with coth-kernel","display_name":"On The numerical evaluation of singular integrals with coth-kernel","publication_year":1998,"publication_date":"1998-01-01","ids":{"openalex":"https://openalex.org/W2006232871","doi":"https://doi.org/10.1080/00207169808804694","mag":"2006232871"},"language":"en","primary_location":{"id":"doi:10.1080/00207169808804694","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207169808804694","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","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/A5021169979","display_name":"G. E. Okecha","orcid":null},"institutions":[{"id":"https://openalex.org/I153455119","display_name":"University of Zimbabwe","ror":"https://ror.org/04ze6rb18","country_code":"ZW","type":"education","lineage":["https://openalex.org/I153455119"]}],"countries":["ZW"],"is_corresponding":true,"raw_author_name":"G. E. Okecha","raw_affiliation_strings":["Department of Mathematics , University of Zimbabwe , P.O.Box Mp167, Mount Pleasant, Harare Zimbabwe","Department of Mathematics, University of Zimbabwe, P.O. Box MP167, Mount Pleasant, Harare, Zimbabwe#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics , University of Zimbabwe , P.O.Box Mp167, Mount Pleasant, Harare Zimbabwe","institution_ids":["https://openalex.org/I153455119"]},{"raw_affiliation_string":"Department of Mathematics, University of Zimbabwe, P.O. Box MP167, Mount Pleasant, Harare, Zimbabwe#TAB#","institution_ids":["https://openalex.org/I153455119"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5021169979"],"corresponding_institution_ids":["https://openalex.org/I153455119"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.15533355,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"68","issue":"3-4","first_page":"261","last_page":"271"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11191","display_name":"Mathematical functions and polynomials","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T11191","display_name":"Mathematical functions and polynomials","score":0.9998999834060669,"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"}},{"id":"https://openalex.org/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9983000159263611,"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"}},{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9975000023841858,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8171385526657104},{"id":"https://openalex.org/keywords/numerical-integration","display_name":"Numerical integration","score":0.6924035549163818},{"id":"https://openalex.org/keywords/gauss","display_name":"Gauss","score":0.5911452770233154},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.532813549041748},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.524518609046936},{"id":"https://openalex.org/keywords/gaussian-quadrature","display_name":"Gaussian quadrature","score":0.5188125967979431},{"id":"https://openalex.org/keywords/christoffel-symbols","display_name":"Christoffel symbols","score":0.5032839179039001},{"id":"https://openalex.org/keywords/assertion","display_name":"Assertion","score":0.4952971041202545},{"id":"https://openalex.org/keywords/quadrature","display_name":"Quadrature (astronomy)","score":0.48452991247177124},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.4660801589488983},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.41246336698532104},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4017944037914276},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.34722191095352173},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.3439117670059204},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.22118604183197021},{"id":"https://openalex.org/keywords/integral-equation","display_name":"Integral equation","score":0.17412498593330383},{"id":"https://openalex.org/keywords/nystr\u00f6m-method","display_name":"Nystr\u00f6m method","score":0.1682194471359253},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.14397501945495605}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8171385526657104},{"id":"https://openalex.org/C127349201","wikidata":"https://www.wikidata.org/wiki/Q753445","display_name":"Numerical integration","level":2,"score":0.6924035549163818},{"id":"https://openalex.org/C161794534","wikidata":"https://www.wikidata.org/wiki/Q177493","display_name":"Gauss","level":2,"score":0.5911452770233154},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.532813549041748},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.524518609046936},{"id":"https://openalex.org/C167196314","wikidata":"https://www.wikidata.org/wiki/Q767680","display_name":"Gaussian quadrature","level":4,"score":0.5188125967979431},{"id":"https://openalex.org/C77850982","wikidata":"https://www.wikidata.org/wiki/Q847816","display_name":"Christoffel symbols","level":2,"score":0.5032839179039001},{"id":"https://openalex.org/C40422974","wikidata":"https://www.wikidata.org/wiki/Q741248","display_name":"Assertion","level":2,"score":0.4952971041202545},{"id":"https://openalex.org/C62869609","wikidata":"https://www.wikidata.org/wiki/Q28137","display_name":"Quadrature (astronomy)","level":2,"score":0.48452991247177124},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.4660801589488983},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.41246336698532104},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4017944037914276},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.34722191095352173},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3439117670059204},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.22118604183197021},{"id":"https://openalex.org/C27016315","wikidata":"https://www.wikidata.org/wiki/Q580101","display_name":"Integral equation","level":2,"score":0.17412498593330383},{"id":"https://openalex.org/C48265008","wikidata":"https://www.wikidata.org/wiki/Q7071295","display_name":"Nystr\u00f6m method","level":3,"score":0.1682194471359253},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.14397501945495605},{"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/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","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/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","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/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207169808804694","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207169808804694","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W1964280225","https://openalex.org/W1972597916","https://openalex.org/W1976020427","https://openalex.org/W1982445135","https://openalex.org/W2020328455","https://openalex.org/W2032247732","https://openalex.org/W2045431810","https://openalex.org/W2801179766","https://openalex.org/W4300223101"],"related_works":["https://openalex.org/W2115344344","https://openalex.org/W2378736565","https://openalex.org/W2226133288","https://openalex.org/W1945408838","https://openalex.org/W2105196846","https://openalex.org/W2061025635","https://openalex.org/W2056088350","https://openalex.org/W2929787118","https://openalex.org/W1973321202","https://openalex.org/W2317230014"],"abstract_inverted_index":{"This":[0],"problem":[1],"was":[2],"first":[3],"tackled":[4],"by":[5],"W.":[6],"Gautschi":[7,70],"et":[8,71],"al.":[9,72],"[2]":[10],"using":[11],"Gauss-Christoffel":[12],"and":[13,32,60],"interpolating":[14],"quadrature":[15],"methods.":[16],"In":[17],"this":[18,82],"paper":[19],"we":[20],"present":[21],"two":[22],"alternative":[23],"numerical":[24,78],"methods,":[25],"one":[26],"based":[27],"on":[28,35],"complex":[29],"contour":[30],"integration":[31],"the":[33,67],"other":[34],"a":[36,44,49,76],"recurrence":[37],"relation":[38],"[Modified":[39],"Olver's":[40],"Algorithm]":[41],"derived":[42],"from":[43],"modified":[45],"moment":[46],"associated":[47],"with":[48],"given":[50],"classical":[51],"orthogonal":[52],"polynomial.":[53],"Our":[54],"methods":[55,68],"involve":[56],"less":[57],"computational":[58],"effort":[59],"yet":[61],"are":[62],"comparable":[63],"in":[64],"accuracy":[65],"to":[66,80],"of":[69],"[2].":[73],"We":[74],"give":[75],"few":[77],"examples":[79],"prove":[81],"assertion.":[83]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}