Spectral methods in MATLAB 0898714656, 9780898714654
This is the only book on spectral methods built around MATLAB programs. Along with finite differences and finite element
262 68 233KB
English Pages 186 Year 2000
Table of contents :
Contents......Page 9
Preface......Page 11
Acknowledgments......Page 15
A Note on the MATLAB Programs......Page 17
1 Differentiation Matrices......Page 21
2 Unbounded Grids: The Semidiscrete Fourier Transform......Page 29
3 Periodic Grids: The DFT and FFT......Page 37
4 Smoothness and Spectral Accuracy......Page 49
5 Polynomial Interpolation and Clustered Grids......Page 61
6 Chebyshev Differentiation Matrices......Page 71
7 Boundary Value Problems......Page 81
8 Chebyshev Series and the FFT......Page 95
9 Eigenvalues and Pseudospectra......Page 107
10 Time-Stepping and Stability Regions......Page 121
11 Polar Coordinates......Page 135
12 Integrals and Quadrature Formulas......Page 145
13 More about Boundary Conditions......Page 155
14 Fourth-Order Problems......Page 165
Afterword......Page 173
Bibliography......Page 175
Index......Page 181
Contents......Page 9
Preface......Page 11
Acknowledgments......Page 15
A Note on the MATLAB Programs......Page 17
1 Differentiation Matrices......Page 21
2 Unbounded Grids: The Semidiscrete Fourier Transform......Page 29
3 Periodic Grids: The DFT and FFT......Page 37
4 Smoothness and Spectral Accuracy......Page 49
5 Polynomial Interpolation and Clustered Grids......Page 61
6 Chebyshev Differentiation Matrices......Page 71
7 Boundary Value Problems......Page 81
8 Chebyshev Series and the FFT......Page 95
9 Eigenvalues and Pseudospectra......Page 107
10 Time-Stepping and Stability Regions......Page 121
11 Polar Coordinates......Page 135
12 Integrals and Quadrature Formulas......Page 145
13 More about Boundary Conditions......Page 155
14 Fourth-Order Problems......Page 165
Afterword......Page 173
Bibliography......Page 175
Index......Page 181
- Author / Uploaded
- Lloyd Nicholas Trefethen
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- Computers
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