{"id":"https://openalex.org/W2081406720","doi":"https://doi.org/10.1016/s0096-3003(02)00058-9","title":"Restrictive Chebyshev rational approximation and applications to heat-conduction problems","display_name":"Restrictive Chebyshev rational approximation and applications to heat-conduction problems","publication_year":2002,"publication_date":"2002-11-04","ids":{"openalex":"https://openalex.org/W2081406720","doi":"https://doi.org/10.1016/s0096-3003(02)00058-9","mag":"2081406720"},"language":"en","primary_location":{"id":"doi:10.1016/s0096-3003(02)00058-9","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0096-3003(02)00058-9","pdf_url":null,"source":{"id":"https://openalex.org/S50372074","display_name":"Applied Mathematics and Computation","issn_l":"0096-3003","issn":["0096-3003","1873-5649"],"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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Mathematics and Computation","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/A5082683405","display_name":"Elsayed M.E. Elbarbary","orcid":null},"institutions":[{"id":"https://openalex.org/I107720978","display_name":"Ain Shams University","ror":"https://ror.org/00cb9w016","country_code":"EG","type":"education","lineage":["https://openalex.org/I107720978"]}],"countries":["EG"],"is_corresponding":true,"raw_author_name":"Elsayed M.E Elbarbary","raw_affiliation_strings":["Department of Mathematics, Faculty of Education, Ain Shams University, Roxy, Hiliopolis, Cairo, Egypt","Department of Mathematics , Faculty of Education, Ain Shams University , Roxy, Hiliopolis, Cairo, Egypt"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Education, Ain Shams University, Roxy, Hiliopolis, Cairo, Egypt","institution_ids":["https://openalex.org/I107720978"]},{"raw_affiliation_string":"Department of Mathematics , Faculty of Education, Ain Shams University , Roxy, Hiliopolis, Cairo, Egypt","institution_ids":["https://openalex.org/I107720978"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5069850068","display_name":"Salah M. El\u2010Sayed","orcid":"https://orcid.org/0000-0001-9885-313X"},"institutions":[{"id":"https://openalex.org/I207547235","display_name":"Benha University","ror":"https://ror.org/03tn5ee41","country_code":"EG","type":"education","lineage":["https://openalex.org/I207547235"]}],"countries":["EG"],"is_corresponding":false,"raw_author_name":"Salah M Elsayed","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Benha University, Benha 13518, Egypt","Department of Mathematics, Faculty of Science, Benha university, Benha 13518, Egypt#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Benha University, Benha 13518, Egypt","institution_ids":["https://openalex.org/I207547235"]},{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Benha university, Benha 13518, Egypt#TAB#","institution_ids":["https://openalex.org/I207547235"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5019577295","display_name":"I. K. Youssef","orcid":"https://orcid.org/0000-0002-9935-0865"},"institutions":[{"id":"https://openalex.org/I107720978","display_name":"Ain Shams University","ror":"https://ror.org/00cb9w016","country_code":"EG","type":"education","lineage":["https://openalex.org/I107720978"]}],"countries":["EG"],"is_corresponding":false,"raw_author_name":"Ismail K Youssef","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Ain Shams University, Cairo, Egypt"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Ain Shams University, Cairo, Egypt","institution_ids":["https://openalex.org/I107720978"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004542498","display_name":"Ahmed M. M. Khodier","orcid":null},"institutions":[{"id":"https://openalex.org/I107720978","display_name":"Ain Shams University","ror":"https://ror.org/00cb9w016","country_code":"EG","type":"education","lineage":["https://openalex.org/I107720978"]}],"countries":["EG"],"is_corresponding":false,"raw_author_name":"Ahmed M.M Khodier","raw_affiliation_strings":["Department of Mathematics, Faculty of Education, Ain Shams University, Roxy, Hiliopolis, Cairo, Egypt","Department of Mathematics , Faculty of Education, Ain Shams University , Roxy, Hiliopolis, Cairo, Egypt"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Education, Ain Shams University, Roxy, Hiliopolis, Cairo, Egypt","institution_ids":["https://openalex.org/I107720978"]},{"raw_affiliation_string":"Department of Mathematics , Faculty of Education, Ain Shams University , Roxy, Hiliopolis, Cairo, Egypt","institution_ids":["https://openalex.org/I107720978"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5082683405"],"corresponding_institution_ids":["https://openalex.org/I107720978"],"apc_list":{"value":3550,"currency":"USD","value_usd":3550},"apc_paid":null,"fwci":1.0363,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.76428123,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"136","issue":"2-3","first_page":"395","last_page":"403"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","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"}},"topics":[{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9991999864578247,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6946846842765808},{"id":"https://openalex.org/keywords/chebyshev-filter","display_name":"Chebyshev filter","score":0.6150217056274414},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.6049900054931641},{"id":"https://openalex.org/keywords/chebyshev-polynomials","display_name":"Chebyshev polynomials","score":0.5589957237243652},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5490156412124634},{"id":"https://openalex.org/keywords/rational-function","display_name":"Rational function","score":0.5402329564094543},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.5293115973472595},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.5115814805030823},{"id":"https://openalex.org/keywords/numerical-stability","display_name":"Numerical stability","score":0.508660614490509},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5067294239997864},{"id":"https://openalex.org/keywords/approximation-theory","display_name":"Approximation theory","score":0.4728800654411316},{"id":"https://openalex.org/keywords/finite-difference","display_name":"Finite difference","score":0.4715583026409149},{"id":"https://openalex.org/keywords/chebyshev-equation","display_name":"Chebyshev equation","score":0.46514904499053955},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.4552624523639679},{"id":"https://openalex.org/keywords/chebyshev-iteration","display_name":"Chebyshev iteration","score":0.44014304876327515},{"id":"https://openalex.org/keywords/thermal-conduction","display_name":"Thermal conduction","score":0.41694480180740356},{"id":"https://openalex.org/keywords/exact-solutions-in-general-relativity","display_name":"Exact solutions in general relativity","score":0.4123663008213043},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3343748450279236},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.16183069348335266},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.13441121578216553},{"id":"https://openalex.org/keywords/orthogonal-polynomials","display_name":"Orthogonal polynomials","score":0.07224205136299133}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6946846842765808},{"id":"https://openalex.org/C21424316","wikidata":"https://www.wikidata.org/wiki/Q718621","display_name":"Chebyshev filter","level":2,"score":0.6150217056274414},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.6049900054931641},{"id":"https://openalex.org/C129785596","wikidata":"https://www.wikidata.org/wiki/Q619511","display_name":"Chebyshev polynomials","level":2,"score":0.5589957237243652},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5490156412124634},{"id":"https://openalex.org/C75190567","wikidata":"https://www.wikidata.org/wiki/Q41237","display_name":"Rational function","level":2,"score":0.5402329564094543},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.5293115973472595},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.5115814805030823},{"id":"https://openalex.org/C176321772","wikidata":"https://www.wikidata.org/wiki/Q1430640","display_name":"Numerical stability","level":3,"score":0.508660614490509},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5067294239997864},{"id":"https://openalex.org/C145242015","wikidata":"https://www.wikidata.org/wiki/Q774123","display_name":"Approximation theory","level":2,"score":0.4728800654411316},{"id":"https://openalex.org/C181330731","wikidata":"https://www.wikidata.org/wiki/Q2068418","display_name":"Finite difference","level":2,"score":0.4715583026409149},{"id":"https://openalex.org/C142484921","wikidata":"https://www.wikidata.org/wiki/Q3890369","display_name":"Chebyshev equation","level":4,"score":0.46514904499053955},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.4552624523639679},{"id":"https://openalex.org/C196512905","wikidata":"https://www.wikidata.org/wiki/Q2457511","display_name":"Chebyshev iteration","level":3,"score":0.44014304876327515},{"id":"https://openalex.org/C172100665","wikidata":"https://www.wikidata.org/wiki/Q7465774","display_name":"Thermal conduction","level":2,"score":0.41694480180740356},{"id":"https://openalex.org/C520416788","wikidata":"https://www.wikidata.org/wiki/Q5419229","display_name":"Exact solutions in general relativity","level":2,"score":0.4123663008213043},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3343748450279236},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.16183069348335266},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.13441121578216553},{"id":"https://openalex.org/C10628310","wikidata":"https://www.wikidata.org/wiki/Q619458","display_name":"Orthogonal polynomials","level":2,"score":0.07224205136299133},{"id":"https://openalex.org/C21736991","wikidata":"https://www.wikidata.org/wiki/Q17006917","display_name":"Classical orthogonal polynomials","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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s0096-3003(02)00058-9","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0096-3003(02)00058-9","pdf_url":null,"source":{"id":"https://openalex.org/S50372074","display_name":"Applied Mathematics and Computation","issn_l":"0096-3003","issn":["0096-3003","1873-5649"],"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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Mathematics and Computation","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":14,"referenced_works":["https://openalex.org/W307165017","https://openalex.org/W2001268557","https://openalex.org/W2023380643","https://openalex.org/W2053673060","https://openalex.org/W2056385345","https://openalex.org/W2058880652","https://openalex.org/W2078354120","https://openalex.org/W2081202859","https://openalex.org/W2083839500","https://openalex.org/W2132784243","https://openalex.org/W2937947362","https://openalex.org/W3144860608","https://openalex.org/W4253854029","https://openalex.org/W4386256137"],"related_works":["https://openalex.org/W2054912819","https://openalex.org/W2179563627","https://openalex.org/W2011010098","https://openalex.org/W1866822838","https://openalex.org/W2124032335","https://openalex.org/W2259605768","https://openalex.org/W2561452628","https://openalex.org/W2016336416","https://openalex.org/W2770058533","https://openalex.org/W2036520616"],"abstract_inverted_index":null,"counts_by_year":[{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
