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3 votes
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How do multigrid approaches deal with Gibbs phenomenon?

The point important to understand when thinking about multigrid is that the lower levels of the hierarchy do not actually have to solve the problem accurately. Rather, the operators at the lower level …
Wolfgang Bangerth's user avatar
4 votes
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Fast way to compute integral of type $\int dx f(x) \cos(n \pi x)$ in SciPy

This is part of the (complex-valued) Fourier transform for which there is (provably) no more efficient way than the Fast Fourier Transform (FFT) if you want to compute the integrals for at least a sig …
Wolfgang Bangerth's user avatar
6 votes
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Can this finite difference dispersion be eliminated somehow?

It isn't the spike that's causing the dispersion. The scheme you use has a dispersion relationship whereby waves of different frequency travel at different speeds. Every numerical scheme has such a di …
Wolfgang Bangerth's user avatar