On the errors incurred calculating derivatives using Chebyshev polynomials
Journal of Computational Physics
A fast algorithm for spectral differentiation
Journal of Computational Physics
A modified Chebyshev pseudospectral method with an O(N–1) time step restriction
Journal of Computational Physics
Roundoff error in computing derivatives using the Chebyshev differentiation matrix
Journal of Computational Physics
Accuracy and speed in computing the Chebyshev collocation derivative
SIAM Journal on Scientific Computing
Boundary Layer Resolving Pseudospectral Methods for Singular Perturbation Problems
SIAM Journal on Scientific Computing
Accuracy Enhancement for Higher Derivatives using Chebyshev Collocation and a Mapping Technique
SIAM Journal on Scientific Computing
Generation of Pseudospectral Differentiation Matrices I
SIAM Journal on Numerical Analysis
Improving the accuracy of the matrix differentiation method for arbitrary collocation points
Proceedings of the fourth international conference on Spectral and high order methods (ICOSAHOM 1998)
On the computation of high order pseudospectral derivatives
Proceedings of the fourth international conference on Spectral and high order methods (ICOSAHOM 1998)
Numerical evaluation of the pth derivative of Jacobi series
Applied Numerical Mathematics
Spectral Differencing with a Twist
SIAM Journal on Scientific Computing
ICCS '07 Proceedings of the 7th international conference on Computational Science, Part IV: ICCS 2007
An improved Levin quadrature method for highly oscillatory integrals
Applied Numerical Mathematics
A rapid solution of a kind of 1D Fredholm oscillatory integral equation
Journal of Computational and Applied Mathematics
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A new explicit expression of the higher order pseudospectral differentiation matrices is presented by using an explicit formula for higher derivatives of Chebyshev polynomials. The roundoff errors incurred during computing differentiation matrices are investigated. The advantages of the suggested differentiation matrices emerged through comparisons with other ones.