{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,5,22]],"date-time":"2025-05-22T11:46:00Z","timestamp":1747914360355},"reference-count":20,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2011,9,29]],"date-time":"2011-09-29T00:00:00Z","timestamp":1317254400000},"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":[[2012,7]]},"DOI":"10.1007\/s10444-011-9193-4","type":"journal-article","created":{"date-parts":[[2011,9,28]],"date-time":"2011-09-28T03:23:18Z","timestamp":1317180198000},"page":"1-37","source":"Crossref","is-referenced-by-count":16,"title":["Generalized Jacobi rational spectral method on the half line"],"prefix":"10.1007","volume":"37","author":[{"given":"Yong-gang","family":"Yi","sequence":"first","affiliation":[]},{"given":"Ben-yu","family":"Guo","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2011,9,29]]},"reference":[{"key":"9193_CR1","series-title":"Techniques of Scientific Computing","first-page":"209","volume-title":"Handbook of Numerical Analysis","author":"C Bernardi","year":"1997","unstructured":"Bernardi, C., Maday, Y.: Spectral methods. In: Ciarlet, P.G., Lions, J.L. (eds.) Handbook of Numerical Analysis, vol.5, Techniques of Scientific Computing, pp.\u00a0209\u2013486. Elsevier, Amsterdam (1997)"},{"key":"9193_CR2","doi-asserted-by":"crossref","first-page":"112","DOI":"10.1016\/0021-9991(87)90158-6","volume":"69","author":"JP Boyd","year":"1987","unstructured":"Boyd, J.P.: Spectral methods using rational basis functions on an infinite interval. J. Comput. Phys. 69, 112\u2013142 (1987)","journal-title":"J. Comput. Phys."},{"key":"9193_CR3","volume-title":"Chebyshev and Fourier Spectral Methods","author":"JP Boyd","year":"2001","unstructured":"Boyd, J.P.: Chebyshev and Fourier Spectral Methods, 2nd edn. Dover, New York 1989 (2001)","edition":"2"},{"key":"9193_CR4","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-540-30726-6","volume-title":"Spectral Methods, Fundamentals in Single Domains","author":"C Canuto","year":"2006","unstructured":"Canuto, C., Hussaini, M.Y., Quarteroni, A., Zang, T.A.: Spectral Methods, Fundamentals in Single Domains. Springer, Berlin (2006)"},{"key":"9193_CR5","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-540-46783-0","volume-title":"Polynomial Approximation of Differential Equations","author":"D Funaro","year":"1992","unstructured":"Funaro, D.: Polynomial Approximation of Differential Equations. Springer-Verlag, Berlin (1992)"},{"key":"9193_CR6","doi-asserted-by":"crossref","DOI":"10.1142\/9789812816641","volume-title":"Spectral Methods and Their Applications","author":"B-y Guo","year":"1998","unstructured":"Guo, B.-y.: Spectral Methods and Their Applications. World Scientific, Singapore (1998)"},{"key":"9193_CR7","first-page":"95","volume":"18","author":"B-y Guo","year":"2000","unstructured":"Guo, B.-y.: Jacobi spectral approximations to differential equations on the half line. J. Comput. Math. 18, 95\u2013112 (2000)","journal-title":"J. Comput. Math."},{"key":"9193_CR8","doi-asserted-by":"crossref","unstructured":"Guo, B.-y.: Some developments in spectral methods for nonlinear partial differential equations in unbounded domains. In: Gu,\u00a0C.-h., Hu, H.-s., Li, T.-t. (eds.) Differential Geometry and Related Topics, pp.\u00a068\u201390. World Scientific (2002)","DOI":"10.1142\/9789812776419_0006"},{"key":"9193_CR9","doi-asserted-by":"crossref","first-page":"305","DOI":"10.1007\/s10915-005-9055-7","volume":"27","author":"B-y Guo","year":"2006","unstructured":"Guo, B.-y., Shen, J., Wang, L.-l.: Optimal spectral-Galerkin methods using generalized Jacobi polynomials. J. Sci. Comput. 27, 305\u2013322 (2006)","journal-title":"J. Sci. Comput."},{"key":"9193_CR10","doi-asserted-by":"crossref","first-page":"1011","DOI":"10.1016\/j.apnum.2008.04.003","volume":"29","author":"B-y Guo","year":"2009","unstructured":"Guo, B.-y., Shen, J., Wang, L.-l.: Generalized Jacobi polynomials\/functions and their applications. Appl. Numer. Math. 29, 1011\u20131028 (2009)","journal-title":"Appl. Numer. Math."},{"key":"9193_CR11","doi-asserted-by":"crossref","first-page":"117","DOI":"10.1023\/A:1007698525506","volume":"15","author":"B-y Guo","year":"2000","unstructured":"Guo, B.-y., Shen, J., Wang, Z.-q.: A rational approximation and its applications to differential equations on the half line. J. Sci. Comput. 15, 117\u2013148 (2000)","journal-title":"J. Sci. Comput."},{"key":"9193_CR12","doi-asserted-by":"crossref","first-page":"65","DOI":"10.1002\/nme.392","volume":"53","author":"B-y Guo","year":"2002","unstructured":"Guo, B.-y., Shen, J., Wang, Z.-q.: Chebyshev rational spectral and pseudospectral methods on a semi-infinite interval. Int. J. Numer. Methods Eng. 53, 65\u201384 (2002)","journal-title":"Int. J. Numer. Methods Eng."},{"key":"9193_CR13","unstructured":"Guo, B.-y., Wang, Z.-q.: Modified Chebyshev rational spectral method for the whole line. Discrete Contin. Dyn. Syst. Suppl. 365\u2013374 (2003)"},{"key":"9193_CR14","doi-asserted-by":"crossref","first-page":"155","DOI":"10.1360\/04za0014","volume":"47","author":"B-y Guo","year":"2004","unstructured":"Guo, B.-y., Wang, Z.-q.: Legendre rational approximation on the whole line. Sci. China, Ser. A Math 47, 155\u2013164 (2004)","journal-title":"Sci. China, Ser. A Math"},{"key":"9193_CR15","doi-asserted-by":"crossref","first-page":"201","DOI":"10.1007\/s10915-010-9353-6","volume":"43","author":"B-y Guo","year":"2010","unstructured":"Guo, B.-y., Yi, Y.-g.: Generalized Jacobi rational spectral method and its applications. J. Sci. Comput. 43, 201\u2013238 (2010)","journal-title":"J. Sci. Comput."},{"key":"9193_CR16","doi-asserted-by":"crossref","first-page":"455","DOI":"10.1016\/j.apnum.2006.07.032","volume":"57","author":"B-y Guo","year":"2007","unstructured":"Guo, B.-y., Zhang, X.-y.: Spectral method for differential equations of degenerate type on unbounded domains by using generalized Laguerre functions. Appl. Numer. Math. 57, 455\u2013471 (2007)","journal-title":"Appl. Numer. Math."},{"key":"9193_CR17","volume-title":"Inequalities","author":"GH Hardy","year":"1952","unstructured":"Hardy, G.H., Littlewood, J.E., P\u00f3lya, G.: Inequalities, 2nd edn. Cambridge University Press, Cambridge (1952)","edition":"2"},{"key":"9193_CR18","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-662-09922-3","volume-title":"Sobolev Spaces","author":"VG Maz\u2019ja","year":"1985","unstructured":"Maz\u2019ja, V.G.: Sobolev Spaces. Springer-Verlag, Berlin (1985)"},{"key":"9193_CR19","first-page":"195","volume":"5","author":"J Shen","year":"2009","unstructured":"Shen, J., Wang, L.-L.: Some recent advances in spectral methods for unbounded domains. Comm. Comp. Phys. 5, 195\u2013241 (2009)","journal-title":"Comm. Comp. Phys."},{"key":"9193_CR20","doi-asserted-by":"crossref","first-page":"883","DOI":"10.1090\/S0025-5718-07-02074-1","volume":"77","author":"Z-q Wang","year":"2008","unstructured":"Wang, Z.-q., Guo, B.-y.: Jacobi rational approximation and spectral method for differential equations of degenerate type. Math. Comput. 77, 883\u2013907 (2008)","journal-title":"Math. Comput."}],"container-title":["Advances in Computational Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10444-011-9193-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10444-011-9193-4\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10444-011-9193-4","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,16]],"date-time":"2019-06-16T12:57:56Z","timestamp":1560689876000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10444-011-9193-4"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,9,29]]},"references-count":20,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2012,7]]}},"alternative-id":["9193"],"URL":"https:\/\/doi.org\/10.1007\/s10444-011-9193-4","relation":{},"ISSN":["1019-7168","1572-9044"],"issn-type":[{"value":"1019-7168","type":"print"},{"value":"1572-9044","type":"electronic"}],"subject":[],"published":{"date-parts":[[2011,9,29]]}}}