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Viscosity-uniform error estimates for a semi-implicit Fourier method in Besov spaces

Cheng, Xinyu et al.
arXiv (All) · Papers
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numerical-analysis
We prove error estimates for a semi-implicit Fourier--Galerkin method for two-dimensional incompressible flow on the torus, with viscosity $0\leν\le1$. The temporal error is first order in $H^s$ for $H^{s+2}$ initial data and integer $s\ge1$. For data in $B^m_{2,1}$, with integer $m\ge3$, the fully
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