Spectral Methods in MATLAB

20004,326 citationsBook

Authors

Lloyd N. Trefethen · University of Oxford

Abstract

Preface 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.

Topics & Keywords

Fluid Dynamics and Turbulent Flows Wind and Air Flow Studies Computational Fluid Dynamics and Aerodynamics

Publication Details

Published in: Society for Industrial and Applied Mathematics eBooks

DOI: 10.1137/1.9780898719598

Field-Weighted Citation Impact: 8.94

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Spectral Methods in MATLAB

Authors

Abstract

Topics & Keywords

Publication Details