# Computing nearly singular solutions using pseudo-spectral methods

@article{Hou2007ComputingNS, title={Computing nearly singular solutions using pseudo-spectral methods}, author={Thomas Y. Hou and Ruo Li}, journal={J. Comput. Phys.}, year={2007}, volume={226}, pages={379-397} }

In this paper, we investigate the performance of pseudo-spectral methods in computing nearly singular solutions of fluid dynamics equations. We consider two different ways of removing the aliasing errors in a pseudo-spectral method. The first one is the traditional 2/3 dealiasing rule. The second one is a high (36th) order Fourier smoothing which keeps a significant portion of the Fourier modes beyond the 2/3 cut-off point in the Fourier spectrum for the 2/3 dealiasing method. Both the 1D…

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