1 Differentiation Matrices 1
2 Unbounded Grids:The Semidiscrete Fourier Transform 9
3 Periodic Grids:The DFT and FFT 17
4 Smoothness and Spectral Accuracy 29
5 Polynomial Interpolation and Clustered Grids 41
6 Chebyshev Differentiation Matrices 51
7 Boundary Value Problems 61
8 Chebyshev Series and the FFT 75
9 Eigenvalues and Pseudospectra 87
10 Time-Stepping and Stability Regions 101
11 Polar Coordinates 115
12 Integrals and Quadrature Formulas 125
13 More about Boundary Conditions 135
14 Fourth-Order Problems 145
Afterword 153
Bibliography 155
Index 161