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
Concerning prerequisites,it is assumed that the words just written have meaning for you, that you have some knowledge of numerical methods, and that you already know MATLAB.