Spectral Methods in MATLAB

ISBN-10: 0898714656
ISBN-13: 9780898714654
Edition: 2000
List price: $39.50
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Description: This is the only book on spectral methods built around MATLAB programs. Along with finite differences and finite elements, spectral methods are one of the three main technologies for solving partial differential equations on computers. Since  More...

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Book details

List price: $39.50
Copyright year: 2000
Publisher: Society for Industrial and Applied Mathematics
Binding: Paperback
Pages: 183
Size: 7.00" wide x 9.75" long x 0.25" tall
Weight: 0.990
Language: English

This is the only book on spectral methods built around MATLAB programs. Along with finite differences and finite elements, spectral methods are one of the three main technologies for solving partial differential equations on computers. Since spectral methods involve significant linear algebra and graphics they are very suitable for the high level programming of MATLAB. This hands-on introduction is built around forty short and powerful MATLAB programs, which the reader can download from the World Wide Web. This book presents the key ideas along with many figures, examples, and short, elegant MATLAB programs for readers to adapt to their own needs. It covers ODE and PDE boundary value problems, eigenvalues and pseudospectra, linear and nonlinear waves, and numerical quadrature.

Preface
Acknowledgments
A Note on the Matlab Programs
Differentiation Matrices
Unbounded Grids: The Semidiscrete Fourier Transform
Periodic Grids: The DFT and FFT
Smoothness and Spectral Accuracy
Polynomial Interpolation and Clustered Grids
Chebyshev Differentiation Matrices
Boundary Value Problems
Chebyshev Series and the FFT
Eigenvalues and Pseudospectra
Time-Stepping and Stability Regions
Polar Coordinates
Integrals and Quadrature Formulas
More about Boundary Conditions
Fourth-Order Problems
Afterword
Bibliography
Index

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