Multidimensional difference schemes with heightened order approximation for advection equation with adaptive artificial viscosity
This paper describes multidimensional explicit difference schemes with three layers using for advection equation with adaptive artificial viscosity. These schemes have the third order approximation on time and the first or the second order on space depends on forward or central difference usage. This paper also contains comparative analysis with known schemes.
adaptive artificial viscosity, advection
Mathematical problems and theory of numerical methods