| Abstract: |
| In this talk, I will present the generalized SAV approach, which possessed the following attractive properties:1)It yields a long time uniform upper bound for the numerical solutions unconditionally; 2) It is applicable to general dissipative systems, not limited to gradient flow systems; 3)It enables the construction of arbitrarily high-order schemes with low computational cost. As an application, we construct the longtime stable schemes for the forced Navier-Stokes equations. Numerical examples will be presented to demonstrate the advantages of our approach. |
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