Jacobi and Laguerre quasi-orthogonal approximations and related interpolations

G Ben-Yu, S Tao, Z Chao - Mathematics of Computation, 2013 - ams.org
G Ben-Yu, S Tao, Z Chao
Mathematics of Computation, 2013ams.org
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
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
ams.org
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