In this paper, generalized from some monotone scheme, a class of MUSCL- Type finite difference E schemes is presented. It is proved to have second order accurac
The difference scheme for Navier-Stokes equations based on a third order up- wind compact scheme[1] is considered. To investigate this scheme, the viscous Burgers equation is used. For the inviscid po
In this paper, non-oscillatory numerical schemes with high order of accuracy are presented for solving Hamilton-Jacobi equations on structured meshes; An adaptive local refinement method is develope