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Generalized Jacobi-Gauss-Lobatto interpolation |
Zhengsu WAN1,2, Benyu GUO3, Chengjian ZHANG1( ) |
| 1. School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074, China; 2. Department of Mathematics, Hunan Institute of Science and Technology, Yueyang 414006, China; 3. Department of Mathematics, Shanghai Normal University, Shanghai 200234, China |
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Abstract We introduce the generalized Jacobi-Gauss-Lobatto interpolation involving the values of functions and their derivatives at the endpoints, which play important roles in the Jacobi pseudospectral methods for high order problems. We establish some results on these interpolations in non-uniformly weighted Sobolev spaces, which serve as the basic tools in analysis of numerical quadratures and various numerical methods of differential and integral equations.
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| Keywords
Generalized Jacobi-Gauss-Lobatto interpolation
pseudospectral method
non-uniformly weighted Sobolev space
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Corresponding Author(s):
ZHANG Chengjian,Email:zs77w@126.com
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Issue Date: 01 August 2013
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