MATLAB中的谱方法 英文影印版PDF电子书下载

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