{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,3,31]],"date-time":"2022-03-31T21:46:28Z","timestamp":1648763188290},"reference-count":18,"publisher":"Springer Science and Business Media LLC","issue":"1-3","license":[{"start":{"date-parts":[[2006,7,1]],"date-time":"2006-07-01T00:00:00Z","timestamp":1151712000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Adv Comput Math"],"published-print":{"date-parts":[[2006,7]]},"DOI":"10.1007\/s10444-003-7608-6","type":"journal-article","created":{"date-parts":[[2006,6,27]],"date-time":"2006-06-27T09:29:35Z","timestamp":1151400575000},"page":"305-322","source":"Crossref","is-referenced-by-count":7,"title":["Stair Laguerre pseudospectral method for differential equations on the half line"],"prefix":"10.1007","volume":"25","author":[{"given":"Li-lian","family":"Wang","sequence":"first","affiliation":[]},{"given":"Ben-yu","family":"Guo","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"key":"7608_CR1","volume-title":"Sobolev Spaces","author":"R.A. Adams","year":"1975","unstructured":"R.A. Adams, Sobolev Spaces (Academic Press, New York, 1975)."},{"key":"7608_CR2","first-page":"209","volume-title":"Handbook of Numerical Analysis, Vol. 5","author":"C. Bernardi","year":"1997","unstructured":"C. Bernardi and Y. Maday, Spectral methods, in: Handbook of Numerical Analysis, Vol. 5, Techniques of Scientific Computing, eds. P.G. Ciarlet and J.L. Lions (Elsevier, Amsterdam, 1997) pp. 209\u2013486."},{"key":"7608_CR3","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-84108-8","volume-title":"Spectral Methods in Fluid Dynamics","author":"C. Canuto","year":"1988","unstructured":"C. Canuto, M.Y. Hussaini, A. Quarteroni and T.A. Zang, Spectral Methods in Fluid Dynamics (Springer, Berlin, 1988)."},{"key":"7608_CR4","doi-asserted-by":"crossref","first-page":"451","DOI":"10.1016\/0045-7825(90)90050-V","volume":"80","author":"O. Coulaud","year":"1990","unstructured":"O. Coulaud, D. Funaro and O. Kavian, Laguerre spectral approximation of elliptic problems in exterior domains, Comput. Mech. Appl. Mech. Engrg. 80 (1990) 451\u2013458.","journal-title":"Comput. Mech. Appl. Mech. Engrg."},{"key":"7608_CR5","unstructured":"D. Funaro, Estimates of Laguerre spectral projectors in Sobolev spaces, in: Orthogonal Polynomials and Their Applications, eds. C. Brezinski, L. Gori and A. Ronveaux (Scientific Publishing, 1991) pp. 263\u2013266."},{"key":"7608_CR6","doi-asserted-by":"crossref","DOI":"10.1137\/1.9781611970425","volume-title":"Numerical Analysis of Spectral Methods: Theory and Applications","author":"D. Gottlieb","year":"1977","unstructured":"D. Gottlieb and S.A. Orszag, Numerical Analysis of Spectral Methods: Theory and Applications (SIAM\/CBMS, Philadelphia, PA, 1977)."},{"key":"7608_CR7","doi-asserted-by":"crossref","DOI":"10.1142\/9789812816641","volume-title":"Spectral Methods and Their Applications","author":"B.-y. Guo","year":"1998","unstructured":"B.-y. Guo, Spectral Methods and Their Applications (World Scientific, Singapore, 1998)."},{"key":"7608_CR8","doi-asserted-by":"crossref","first-page":"1067","DOI":"10.1090\/S0025-5718-99-01059-5","volume":"68","author":"B.-y. Guo","year":"1999","unstructured":"B.-y. Guo, Error estimation of Hermite spectral method for nonlinear partial differential equations, Math. Comp. 68 (1999) 1067\u20131078.","journal-title":"Math. Comp."},{"key":"7608_CR9","first-page":"101","volume":"19","author":"B.-y. Guo","year":"2001","unstructured":"B.-y. Guo and H.-p. Ma, Composite Legendre\u2013Laguerre approximation in unbounded domains, J. Comput. Math. 19 (2001) 101\u2013112.","journal-title":"J. Comput. Math."},{"key":"7608_CR10","doi-asserted-by":"crossref","first-page":"635","DOI":"10.1007\/PL00005413","volume":"86","author":"B.-y. Guo","year":"2000","unstructured":"B.-y. Guo and J. Shen, Laguerre\u2013Galerkin method for nonlinear partial differential equations on a semi-infinte interval, Numer. Math. 86 (2000) 635\u2013654.","journal-title":"Numer. Math."},{"key":"7608_CR11","doi-asserted-by":"crossref","first-page":"859","DOI":"10.1051\/m2an:2000100","volume":"24","author":"B.-y. Guo","year":"2000","unstructured":"B.-y. Guo and C.-l. Xu, Hermite pseudospectral method for nonlinear partial differential equations, RAIRO Math. Mod\u00e9l. Anal. Num\u00e9r. 24 (2000) 859\u2013872.","journal-title":"RAIRO Math. Mod\u00e9l. Anal. Num\u00e9r."},{"key":"7608_CR12","doi-asserted-by":"crossref","first-page":"105","DOI":"10.1016\/0045-7825(92)90171-F","volume":"98","author":"V. Irazo","year":"1992","unstructured":"V. Irazo and A. Falqu\u00e9s, Some spectral approximations for differential equations in unbounded domains, Comput. Mech. Appl. Mech. Engrg. 98 (1992) 105\u2013126.","journal-title":"Comput. Mech. Appl. Mech. Engrg."},{"key":"7608_CR13","first-page":"353","volume":"6","author":"Y. Maday","year":"1985","unstructured":"Y. Maday, B. Pernaud-Thomas and H. Vandeven, Une r\u00e9habilitation des m\u00e9thodes sp\u00e9ctrales de type Laguerre, Rech. Aerospat. 6 (1985) 353\u2013379.","journal-title":"Rech. Aerospat."},{"key":"7608_CR14","first-page":"612","volume":"17","author":"G. Masteroianni","year":"1997","unstructured":"G. Masteroianni and G. Monegato, Nystr\u00f6m interpolatants based on zeros of Laguerre polynomials for some Wiener\u2013Hopf equations, IMA J. Numer. Anal. 17 (1997) 612\u2013642.","journal-title":"IMA J. Numer. Anal."},{"key":"7608_CR15","doi-asserted-by":"crossref","first-page":"1113","DOI":"10.1137\/S0036142999362936","volume":"38","author":"J. Shen","year":"2000","unstructured":"J. Shen, Stable and efficient spectral methods in unbounded domains using Laguerre functions, SIAM J. Numer. Anal. 38 (2000) 1113\u20131133.","journal-title":"SIAM J. Numer. Anal."},{"key":"7608_CR16","volume-title":"Orthogonal Polynomials","author":"G. Szeg\u00f6","year":"1959","unstructured":"G. Szeg\u00f6, Orthogonal Polynomials (Amer. Math. Soc., Providence, RI, 1959)."},{"key":"7608_CR17","unstructured":"L.-l. Wang and B.-y. Guo, Modified Laguerre pseudospectral method refined by multidomain Legendre approximation for differential equations on the half line, submitted."},{"key":"7608_CR18","first-page":"413","volume":"20","author":"C.-l. Xu","year":"2002","unstructured":"C.-l. Xu and B.-y. Guo, Laguerre pseudospectral method for nonlinear partial differential equations, J. Comput. Math. 20 (2002) 413\u2013428.","journal-title":"J. Comput. Math."}],"container-title":["Advances in Computational Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10444-003-7608-6.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10444-003-7608-6\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10444-003-7608-6","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,29]],"date-time":"2019-05-29T13:08:07Z","timestamp":1559135287000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10444-003-7608-6"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2006,7]]},"references-count":18,"journal-issue":{"issue":"1-3","published-print":{"date-parts":[[2006,7]]}},"alternative-id":["7608"],"URL":"https:\/\/doi.org\/10.1007\/s10444-003-7608-6","relation":{},"ISSN":["1019-7168","1572-9044"],"issn-type":[{"value":"1019-7168","type":"print"},{"value":"1572-9044","type":"electronic"}],"subject":[],"published":{"date-parts":[[2006,7]]}}}