Jacobi and Laguerre quasi-orthogonal approximations and related interpolations
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- by Guo Ben-yu, Sun Tao and Zhang Chao PDF
- Math. Comp. 82 (2013), 413-441 Request permission
Abstract:
In this paper, we investigate Jacobi quasi-orthogonal approximation and generalized Jacobi-Gauss-Lobatto interpolation. We also propose Laguerre quasi-orthogonal approximation and generalized Laguerre-Gauss-Radau interpolation. A series of sharp results on these approximations are established, which are applicable to spectral and pseudospectral methods for mixed nonhomogeneous boundary value problems of high order.References
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Additional Information
- Guo Ben-yu
- Affiliation: Department of Mathematics, Shanghai Normal University, Shanghai, 200234, China – and – Scientific Computing Key Laboratory of Shanghai Universities, Division of Computational Science of E-institute of Shanghai Universities
- Email: byguo@shnu.edu.cn
- Sun Tao
- Affiliation: Department of Applied Mathematics, Shanghai Finance University, Shanghai, 201209, China
- Email: taosun80@yeah.net
- Zhang Chao
- Affiliation: Department of Mathematics, Xuzhou Normal University, Xuzhou, 221116, China
- Email: zcxz1977@163.com
- Received by editor(s): November 17, 2009
- Received by editor(s) in revised form: August 17, 2011
- Published electronically: May 8, 2012
- Additional Notes: The work of this author is supported in part by NSF of China N. 11171227, Fund for Doctor Degree Authority of Chinese Educational Ministry N. 20080270001, Shanghai Leading Academic Discipline Project N. S30405 and Fund for E-institute of Shanghai Universities N. E03004.
- © Copyright 2012
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Math. Comp. 82 (2013), 413-441
- MSC (2010): Primary 41A10, 41A05, 41A30, 65L60
- DOI: https://doi.org/10.1090/S0025-5718-2012-02614-7
- MathSciNet review: 2983030