Titlebook: Spectral Methods in Fluid Dynamics; Claudio Canuto,M. Yousuff Hussaini,Thomas A. Zang Textbook 1988 Springer-Verlag Berlin Heidelberg 1988

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Fundamentals of Spectral Methods for PDEs,m methods for evaluating convolution sums. Next, we discuss Neumann, Robin and radiation boundary conditions. Finally, we remark on the treatment of coordinate singularities and the use of mapping techniques in two-dimensional problems.

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1434-8322 rom their of spectral methods has evolved rigorous theory. The computational side vigorously since the early 1970s, especially in computationally intensive of the more spectacular applications are applications in fluid dynamics. Some of the power of these discussed here, first in general terms as ex

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Simple Incompressible Flows,Some simple one- and two-dimensional problems from incompressible fluid dynamics will now be used to illustrate the spectral discretization and solution techniques which have been discussed in the preceding chapters.

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Global Approximation Results,In this chapter we present error estimates for the approximation of functions by orthogonal polynomials. The results will cover the following topics:

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Transient, Smooth Problems,In this chapter, we present the numerical analysis of spectral methods for linear hyperbolic and parabolic problems.