Spectral methods in MATLAB [electronic resource] / Lloyd N. Trefethen.
- Philadelphia, Pa. : Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104), 2000.
- Software, environments, tools ; 10.
Software, environments, tools
Software, environments, tools ; 10
1 electronic text (xvi, 165 p.) : ill., digital file.
- Differential equations, Partial -- Numerical solutions -- Data processing.
Spectral theory (Mathematics)
- System Details:
- Mode of access: Internet via World Wide Web.
- 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.
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
- Title from title screen.
Digitized and made available by: Books 24x7.com.
Includes bibliographical references (p. 155-160) and index.
Title from title screen, viewed 12/30/2010.
- Books24x7, Inc.
- Publisher Number:
- SE10 SIAM
- Access Restriction:
- Restricted to subscribers or individual electronic text purchasers.
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