Preface
Acknowledgments
A Note on the MATLAB Programs
1 Differentiation Matrices
2 Unbounded Grids: The Semidiscrete Fourier Transform
3 Periodic Grids: The DFT and FFT
4 Smoothness and Spectral Accuracy
5 Polynomial Interpolation and Clustered Grids
6 Chebyshev Differentiation Matrices
7 Boundary Value Problems
8 Chebyshev Series and the FFT
9 Eigenvalues and Pseudospectra
10 Time-Stepping and Stability Regions
11 Polar Coordinates
12 Integrals and Quadrature Formulas
13 More about Boundary Conditions
14 Fourth-Order Problems
Afterword
Bibliography
Index