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math.NA2011★ 1 cited
An efficient second order in time scheme for approximating long time statistical properties of the two dimensional Navier-Stokes equations
Xiaoming Wang
We investigate the long tim behavior of the following efficient second order in time scheme for the 2D Navier-Stokes equation in a periodic box: $$ \frac{3ω^{n+1}-4ω^n+ω^{n-1}}{2k}…
math.NA2011
Long time stability of a classical efficient scheme for two dimensional Navier-Stokes equations
Sigal Gottlieb, Florentina Tone, Cheng Wang +2
We prove that a popular classical implicit-explicit scheme for the 2D incompressible Navier--Stokes equations that treats the viscous term implicitly while the nonlinear advection…