《Spectral Methods in MATLAB》(Lloyd N.Trefethen) is a charming book, beautifully written, easy to understand without sacrificing accuracy. The idea of using MATLAB is brilliant and will appeal to the students and the other readers.

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