Construction of high-order accurate difference schemes for hyperbolic equations
The author constructs third-order accurate finite difference schemes for the Euler equations. The basic idea of the construction is illustrated by considering a linear transport equation. The approximations of the spatial derivative constructed on a seven-point stencil depend on three functions, which are determined by monotonicity conditions. Results are calculated for the two-dimensional Navier-Stokes equations.
scientific article; zbMATH DE number 1467856