Spectral Methods in MATLAB

Name: Spectral Methods in MATLAB
Price: 79.64 USD
Availability: InStock
ISBN: 9780898714654

ISBN-10: 0898714656

ISBN-13: 9780898714654

Edition: 2000

Authors: Lloyd N. Trefethen

List price: $64.00

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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 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…

Book details

List price: $64.00
Copyright year: 2000
Publisher: Society for Industrial and Applied Mathematics
Publication date: 7/31/2000
Binding: Paperback
Pages: 181
Size: 7.00" wide x 9.75" long x 0.25" tall
Weight: 0.924
Language: English



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