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Operator splitting for two-dimensional incompressible fluid equations (1102.1094v1)
Published 5 Feb 2011 in math.NA and math.AP
Abstract: We analyze splitting algorithms for a class of two-dimensional fluid equations, which includes the incompressible Navier-Stokes equations and the surface quasi-geostrophic equation. Our main result is that the Godunov and Strang splitting methods converge with the expected rates provided the initial data are sufficiently regular.
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