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  • Print publication year: 2010
  • Online publication date: June 2012

6 - DISCRETE TRANSFORM METHODS

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Further Reading
Bracewell, R. N.The Fourier Transform and Its Applications, Second Edition. McGraw-Hill, 1986.
Canuto, C., Hussaini, M. Y., Quarteroni, A., and Zang, T. A.Spectral Methods in Fluid Dynamics. Springer-Verlag, 1988.
Dahlquist, G., and Björck, Å. Numerical Methods. Prentice-Hall, 1974, Chapter 9.
Gottlieb, D., and Orszag, Steven A. Numerical Analysis of Spectral Methods: Theory and Applications. Society for Industrial and Applied Mathematics (SIAM), 1977.
Hirsch, C.Numerical Computation of Internal and External Flows: The Fundamentals of Computational Fluid Dynamics. Elsevier Butterworth-Heinemann, 2007.
Hockney, R. W., and Eastwood, J. W.Computer Simulation Using Particles: IOP (Inst. of Physics) Publishing Ltd. 1988, reprinted 1994.
Orszag, S. A.Spectral Methods for Problems in Complex Geometries. J. Comp. Phys. 37, 70–92.
Press, W. H., Teukolsky, S. A., Vetterling, W. T., and Flannery, B. P.Numerical Recipes: The Art of Scientific Computing, Third Edition. Cambridge University Press, 2007, Chapters 12 and 13.
Snyder, M. A.Chebyshev Methods in Numerical Approximation. Prentice-Hall, 1966, Chapters 1, 2, and 3.
Trefethen, L. N.Spectral Methods in Matlab. Society for Industrial and Applied Mathematics, 2005.
Zienkiewicz, O. C., Taylor, R. L., and Zhu, J. Z.The Finite Element Method: Its Basis and Fundamentals. Elsevier Butterworth-Heinemann, 2005.