Computing the Inverse of the Chebyshev Collocation Derivative
- 1 November 1988
- journal article
- research article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Scientific and Statistical Computing
- Vol. 9 (6), 1050-1057
- https://doi.org/10.1137/0909071
Abstract
Various numerical techniques for inverting the matrix S of the pseudospectral derivative in one spatial dimension at the Chebyshev nodes are compared in terms of accuracy and CPU time. An explicit formula for the entries of $S^{ - 1} $ is presented.
Keywords
This publication has 4 references indexed in Scilit:
- A Preconditioning Matrix for the Chebyshev Differencing OperatorSIAM Journal on Numerical Analysis, 1987
- An Instability Phenomenon in Spectral MethodsSIAM Journal on Numerical Analysis, 1987
- Some Results About the Spectrum of the Chebyshev Differencing OperatorPublished by Elsevier BV ,1987
- Numerical Analysis of Spectral MethodsPublished by Society for Industrial & Applied Mathematics (SIAM) ,1977