Finite difference operators approximating second derivatives and satisfying a summation by parts rule have been derived for the fourth, sixth and eighth order case by using the symbolic mathematics… Expand

Stable and accurate interface conditions based on the SAT penalty method are derived for the linear advection?diffusion equation. The conditions are functionally independent of the spatial order of… Expand

Finite difference approximations of the second derivative in space appearing in, parabolic, incompletely parabolic systems of, and 2nd-order hyperbolic partial differential equations can be closed with two orders less accuracy at the boundary without reducing the global order of accuracy.Expand

A stable wall boundary procedure is derived for the discretized compressible Navier-Stokes equations using high-order accurate finite difference summation-by-parts.Expand

The new time-integration method is global, high order accurate, unconditionally stable and together with the approximation in space, it generates optimally sharp fully discrete energy estimates.Expand

In this paper we present dissipation operators that preserve both stability and accuracy for high order finite difference approximations of initial boundary value problems.Expand

We show that the continuous analysis of well posed boundary conditions implemented with weak boundary procedures together with schemes on Summation-by-parts (SBP) form automatically leads to stability.Expand

We show that the primary importance of the fringe region technique is to damp out the deviation associated with large scales in the direction normal to the wall.Expand