Frontiers of Mathematics in China >
Generalized Jacobi-Gauss-Lobatto interpolation
Received date: 20 Sep 2011
Accepted date: 28 Nov 2012
Published date: 01 Aug 2013
Copyright
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.
Zhengsu WAN , Benyu GUO , Chengjian ZHANG . Generalized Jacobi-Gauss-Lobatto interpolation[J]. Frontiers of Mathematics in China, 2013 , 8(4) : 933 -960 . DOI: 10.1007/s11464-013-0271-4
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