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Description:
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Speaker: Mark Lyon, Math Dept UNH
Title: Fourier Continuation algorithms, fast transforms, and techniques for PDE Solution
Abstract:
Fourier Continuation methods, which have been successfully applied to the solution of a variety of Partial Differential Equations (PDEs), allow for highly-accurate approximation and convergence in a PDE solver by allowing Fourier series to be applied to non-periodic functions. FFT speed algorithms have been developed and additionally exhibit minimal pollution (i.e. growth in the global error with the scale of the problem) with spectral error decay away from the boundaries and, at minimum, high-order polynomial interpolation based error near the boundaries. Various methods for applying the FC methodology will be discussed along with demonstrations.
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