Jacobi and Laguerre quasi-orthogonal approximations and related interpolations

Ben-yu, Guo; Tao, Sun; Chao, Zhang

doi:10.1090/S0025-5718-2012-02614-7

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.

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