{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,18]],"date-time":"2026-06-18T04:23:03Z","timestamp":1781756583108,"version":"3.54.5"},"reference-count":28,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2005,8,1]],"date-time":"2005-08-01T00:00:00Z","timestamp":1122854400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J Sci Comput"],"published-print":{"date-parts":[[2005,8]]},"DOI":"10.1007\/s10915-004-4613-y","type":"journal-article","created":{"date-parts":[[2005,8,20]],"date-time":"2005-08-20T08:15:42Z","timestamp":1124525742000},"page":"183-218","source":"Crossref","is-referenced-by-count":17,"title":["Error Analysis for Mapped Jacobi Spectral Methods"],"prefix":"10.1007","volume":"24","author":[{"given":"Li-Lian","family":"Wang","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Jie","family":"Shen","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","reference":[{"key":"4613_CR1","doi-asserted-by":"crossref","DOI":"10.1137\/1.9781611970470","volume-title":"Orthogonal Polynomials and Special Functions","author":"R. Askey","year":"1975"},{"issue":"2","key":"4613_CR2","doi-asserted-by":"crossref","first-page":"219","DOI":"10.1007\/PL00005387","volume":"85","author":"Babu\u0161ka. Ivo","year":"2000","journal-title":"Numer. Math."},{"key":"4613_CR3","doi-asserted-by":"crossref","first-page":"421","DOI":"10.1016\/0021-9991(89)90215-5","volume":"81","author":"A. Bayliss","year":"1989","journal-title":"J. Comput. Phys."},{"issue":"2","key":"4613_CR4","doi-asserted-by":"crossref","first-page":"349","DOI":"10.1016\/0021-9991(92)90012-N","volume":"101","author":"A. Bayliss","year":"1992","journal-title":"J. Comput Phys."},{"key":"4613_CR5","doi-asserted-by":"crossref","first-page":"63","DOI":"10.1016\/0021-9991(87)90002-7","volume":"70","author":"J.P. Boyd","year":"1987","journal-title":"J. Comput. Phys."},{"key":"4613_CR6","volume-title":"Chebyshev and Fourier Spectral Methods","author":"J.P. Boyd","year":"2001"},{"key":"4613_CR7","doi-asserted-by":"crossref","unstructured":"Canuto C., Hussaini M.Y., Quarteroni A., Zang T.A (1987). Spectral Methods in Fluid Dynamics, Springer-Verlag.","DOI":"10.1007\/978-3-642-84108-8"},{"key":"4613_CR8","unstructured":"Courant R., Hilbert D. (1953). Methods of Mathematical Physics, Vol.1. Interscience Publishers."},{"key":"4613_CR9","first-page":"335","volume":"7","author":"R.A. Fisher","year":"1937","journal-title":"Ann. Eugenics."},{"key":"4613_CR10","doi-asserted-by":"crossref","unstructured":"Funaro, D. (1992). Polynomial Approxiamtions of Differential Equations, Springer-verlag.","DOI":"10.1007\/978-3-540-46783-0"},{"key":"4613_CR11","doi-asserted-by":"crossref","DOI":"10.1137\/1.9781611970425","volume-title":"Numerical Analysis of Spectral Methods: Theory and Applications","author":"D. Gottlieb","year":"1977"},{"key":"4613_CR12","doi-asserted-by":"crossref","unstructured":"Guo B.Y., Shen J., Wang L.L. Optimal spectral-Galerkin methods using generalized Jacobi polynomials. J. Sci. Comp. to appear.","DOI":"10.1007\/s10915-005-9055-7"},{"key":"4613_CR13","doi-asserted-by":"crossref","first-page":"227","DOI":"10.1023\/A:1016681018268","volume":"14","author":"B.Y. Guo","year":"2001","journal-title":"Adv. Comput. Math."},{"key":"4613_CR14","unstructured":"Guo, B. Y., Shen, J., and Wang, Z. Q. (2002). Chebyshev rational spectral and pseudospectral methods on a semi-infinite interval Internat. J. Numer. Methods Engrg. 53 (1), 65\u201384 p and hp finite element methods, mathematics and engineering practice (St. Louis, MO, 2000)."},{"key":"4613_CR15","doi-asserted-by":"crossref","first-page":"373","DOI":"10.1006\/jmaa.1999.6677","volume":"243","author":"B.Y. Guo","year":"2000","journal-title":"J Math. Anal. Appl."},{"key":"4613_CR16","first-page":"95","volume":"18","author":"B.Y. Guo","year":"2000","journal-title":"J. Comput. Math."},{"key":"4613_CR17","doi-asserted-by":"crossref","first-page":"117","DOI":"10.1023\/A:1007698525506","volume":"15","author":"B.Y. Guo","year":"2000","journal-title":"J. Sci. Comp."},{"key":"4613_CR18","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.jat.2004.03.008","volume":"128","author":"B. Guo","year":"2004","journal-title":"J. Approx. theor."},{"key":"4613_CR19","doi-asserted-by":"crossref","first-page":"1025","DOI":"10.1090\/S0025-5718-1978-0483484-9","volume":"32","author":"R.B. Kellogg","year":"1978","journal-title":"Math. Comp."},{"key":"4613_CR20","doi-asserted-by":"crossref","first-page":"457","DOI":"10.1006\/jcph.1993.1044","volume":"104","author":"D. Kosloff","year":"1993","journal-title":"J. Comput. Phys."},{"key":"4613_CR21","doi-asserted-by":"crossref","first-page":"411","DOI":"10.1007\/BF02088955","volume":"11","author":"W.B. Liu","year":"1996","journal-title":"J. Sci. Comput."},{"key":"4613_CR22","doi-asserted-by":"crossref","first-page":"315","DOI":"10.1016\/S0168-9274(01)00036-8","volume":"38","author":"W.B. Liu","year":"2001","journal-title":"Appl. Numer. Math."},{"key":"4613_CR23","doi-asserted-by":"crossref","first-page":"1261","DOI":"10.1137\/S1064827595291984","volume":"19","author":"L.S. Mulholland","year":"1998","journal-title":"SIAM J. Sci Comput."},{"key":"4613_CR24","doi-asserted-by":"crossref","first-page":"281","DOI":"10.1146\/annurev.fl.06.010174.001433","volume":"5","author":"S.A. Orszag","year":"1974","journal-title":"Ann. Rev. Fluid. Mech."},{"key":"4613_CR25","doi-asserted-by":"crossref","first-page":"326","DOI":"10.1137\/S0036142903422065","volume":"42","author":"J. Shen","year":"2004","journal-title":"SIAM J Numer. Anal."},{"key":"4613_CR26","doi-asserted-by":"crossref","first-page":"228","DOI":"10.1006\/jcph.1994.1189","volume":"115","author":"Y.H. Song","year":"1994","journal-title":"J. Comput. Phys."},{"key":"4613_CR27","unstructured":"Szeg\u00f6 G. (1975). Orthogonal Polynomials, (4th ed.), Vol. 23, AMS Coll. Publ."},{"key":"4613_CR28","doi-asserted-by":"crossref","unstructured":"Tang, T., and Trummer, M. R. (1996). Boundary layer resolving pseudospectral mathod for singular pertubation problems. SIAM J. Sci. Comput. 17, 430\u2013438.","DOI":"10.1137\/S1064827592234120"}],"container-title":["Journal of Scientific Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10915-004-4613-y.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10915-004-4613-y\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10915-004-4613-y","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,4,9]],"date-time":"2020-04-09T04:28:01Z","timestamp":1586406481000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10915-004-4613-y"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2005,8]]},"references-count":28,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2005,8]]}},"alternative-id":["4613"],"URL":"https:\/\/doi.org\/10.1007\/s10915-004-4613-y","relation":{},"ISSN":["0885-7474","1573-7691"],"issn-type":[{"value":"0885-7474","type":"print"},{"value":"1573-7691","type":"electronic"}],"subject":[],"published":{"date-parts":[[2005,8]]}}}