{"id":"https://openalex.org/W1599524282","doi":"https://doi.org/10.1023/a:1007698525506","title":"A Rational Approximation and Its Applications to Differential Equations on the Half Line","display_name":"A Rational Approximation and Its Applications to Differential Equations on the Half Line","publication_year":2000,"publication_date":"2000-06-01","ids":{"openalex":"https://openalex.org/W1599524282","doi":"https://doi.org/10.1023/a:1007698525506","mag":"1599524282"},"language":"en","primary_location":{"id":"doi:10.1023/a:1007698525506","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1007698525506","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/A5112630309","display_name":"Ben\u2010yu Guo","orcid":null},"institutions":[{"id":"https://openalex.org/I21945476","display_name":"Shanghai Normal University","ror":"https://ror.org/01cxqmw89","country_code":"CN","type":"education","lineage":["https://openalex.org/I21945476"]},{"id":"https://openalex.org/I66867065","display_name":"East China Normal University","ror":"https://ror.org/02n96ep67","country_code":"CN","type":"education","lineage":["https://openalex.org/I66867065"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ben-Yu Guo","raw_affiliation_strings":["School of Mathematical Sciences, Shangai Normal University, Shanghai, 200234, People's Republic of China","School of Mathematical Sciences, Shangai Normal University, Shanghai 200234, People's Republic of China. byguo@guomai.sh.cn#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Shangai Normal University, Shanghai, 200234, People's Republic of China","institution_ids":["https://openalex.org/I21945476","https://openalex.org/I66867065"]},{"raw_affiliation_string":"School of Mathematical Sciences, Shangai Normal University, Shanghai 200234, People's Republic of China. byguo@guomai.sh.cn#TAB#","institution_ids":["https://openalex.org/I21945476"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028981574","display_name":"Jie Shen","orcid":"https://orcid.org/0000-0002-4885-5732"},"institutions":[{"id":"https://openalex.org/I130769515","display_name":"Pennsylvania State University","ror":"https://ror.org/04p491231","country_code":"US","type":"education","lineage":["https://openalex.org/I130769515"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jie Shen","raw_affiliation_strings":["Department of Mathematics, Penn State University, University Park, Pennsylvania, 16802","Department of Mathematics, Penn State University, University Park, Pennsylvania 16802. shen@math.psu.edu#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Penn State University, University Park, Pennsylvania, 16802","institution_ids":["https://openalex.org/I130769515"]},{"raw_affiliation_string":"Department of Mathematics, Penn State University, University Park, Pennsylvania 16802. shen@math.psu.edu#TAB#","institution_ids":["https://openalex.org/I130769515"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100369600","display_name":"Zhongqing Wang","orcid":"https://orcid.org/0000-0002-3281-5322"},"institutions":[{"id":"https://openalex.org/I4210162556","display_name":"Shangri-la Institute","ror":"https://ror.org/05e0fad36","country_code":"CN","type":"nonprofit","lineage":["https://openalex.org/I4210162556"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhong-Qing Wang","raw_affiliation_strings":["Department of Mathematics, Shangai University, Shangai, 200436, People's Republic of China","Department of Mathematics, Shangai University, Shangai 200436, People's Republic of China. zhqwang@kali.com.cn#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Shangai University, Shangai, 200436, People's Republic of China","institution_ids":["https://openalex.org/I4210162556"]},{"raw_affiliation_string":"Department of Mathematics, Shangai University, Shangai 200436, People's Republic of China. zhqwang@kali.com.cn#TAB#","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.0552,"has_fulltext":false,"cited_by_count":108,"citation_normalized_percentile":{"value":0.76693863,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"15","issue":"2","first_page":"117","last_page":"147"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9817000031471252,"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9817000031471252,"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/T11416","display_name":"Numerical methods for differential equations","score":0.906000018119812,"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/mathematics","display_name":"Mathematics","score":0.8359810709953308},{"id":"https://openalex.org/keywords/gauss-pseudospectral-method","display_name":"Gauss pseudospectral method","score":0.7610781788825989},{"id":"https://openalex.org/keywords/rational-function","display_name":"Rational function","score":0.6386741995811462},{"id":"https://openalex.org/keywords/pseudo-spectral-method","display_name":"Pseudo-spectral method","score":0.6205023527145386},{"id":"https://openalex.org/keywords/pseudospectral-optimal-control","display_name":"Pseudospectral optimal control","score":0.6130306720733643},{"id":"https://openalex.org/keywords/orthogonal-functions","display_name":"Orthogonal functions","score":0.5281534194946289},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5131798386573792},{"id":"https://openalex.org/keywords/chebyshev-pseudospectral-method","display_name":"Chebyshev pseudospectral method","score":0.5121890902519226},{"id":"https://openalex.org/keywords/spectral-method","display_name":"Spectral method","score":0.43064674735069275},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3907153308391571},{"id":"https://openalex.org/keywords/orthogonal-polynomials","display_name":"Orthogonal polynomials","score":0.20086565613746643},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.08708694577217102}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8359810709953308},{"id":"https://openalex.org/C71026131","wikidata":"https://www.wikidata.org/wiki/Q5527825","display_name":"Gauss pseudospectral method","level":5,"score":0.7610781788825989},{"id":"https://openalex.org/C75190567","wikidata":"https://www.wikidata.org/wiki/Q41237","display_name":"Rational function","level":2,"score":0.6386741995811462},{"id":"https://openalex.org/C177937620","wikidata":"https://www.wikidata.org/wiki/Q7254447","display_name":"Pseudo-spectral method","level":4,"score":0.6205023527145386},{"id":"https://openalex.org/C154304650","wikidata":"https://www.wikidata.org/wiki/Q7255577","display_name":"Pseudospectral optimal control","level":5,"score":0.6130306720733643},{"id":"https://openalex.org/C135925592","wikidata":"https://www.wikidata.org/wiki/Q2637908","display_name":"Orthogonal functions","level":2,"score":0.5281534194946289},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5131798386573792},{"id":"https://openalex.org/C122107654","wikidata":"https://www.wikidata.org/wiki/Q5089017","display_name":"Chebyshev pseudospectral method","level":5,"score":0.5121890902519226},{"id":"https://openalex.org/C23463724","wikidata":"https://www.wikidata.org/wiki/Q2308831","display_name":"Spectral method","level":2,"score":0.43064674735069275},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3907153308391571},{"id":"https://openalex.org/C10628310","wikidata":"https://www.wikidata.org/wiki/Q619458","display_name":"Orthogonal polynomials","level":2,"score":0.20086565613746643},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.08708694577217102},{"id":"https://openalex.org/C203024314","wikidata":"https://www.wikidata.org/wiki/Q1365258","display_name":"Fourier analysis","level":3,"score":0.0},{"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/C142484921","wikidata":"https://www.wikidata.org/wiki/Q3890369","display_name":"Chebyshev equation","level":4,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1023/a:1007698525506","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1007698525506","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W1975666830","https://openalex.org/W1983731610","https://openalex.org/W2007254031","https://openalex.org/W2033942740","https://openalex.org/W2047035089","https://openalex.org/W2065378774","https://openalex.org/W2068305880","https://openalex.org/W2082849992","https://openalex.org/W2130655033","https://openalex.org/W3038165843","https://openalex.org/W3150423993","https://openalex.org/W4211228115"],"related_works":["https://openalex.org/W2550657075","https://openalex.org/W2281601070","https://openalex.org/W2761671048","https://openalex.org/W2143234151","https://openalex.org/W2354694671","https://openalex.org/W2503830135","https://openalex.org/W2360369146","https://openalex.org/W2027623489","https://openalex.org/W2192624384","https://openalex.org/W1512809069"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":8},{"year":2016,"cited_by_count":8},{"year":2015,"cited_by_count":8},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":10},{"year":2012,"cited_by_count":11}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2016-06-24T00:00:00"}