Spectral Methods in MATLAB

Preface 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.