the National Natural Science Foundation of China (Grant No. 11771213);the National Key Research and Development Project of China (Grant No. 2016YFC0600310);the Major Projects of Natural Sciences of University in Jiangsu Province of China (Grant No. 15KJA110002).
This paper gives several structure-preserving schemes for the Degasperis-Procesi equation which has bi-Hamiltonian structures consisted of both complex and non-local Hamiltonian differential operators. For this sake, ...
A Fourier pseudospectral-finite difference scheme is proposed for unsteady Navier-Stokes equation. It is showed that the numerical solution keeps semi-discrete conservation. The strict error estimation is established....