On the construction of arbitrary order schemes for the many dimensional wave equation
The paper is devoted to a problem which was of an interest in the beginning of the theory of difference methods. The elementary constructed explicit high-order approximations for the wave equation (on the simplest cubic grid in space) assume that the solution is very smooth and that no boundary conditions are given. Stability is also understood in the simplest way (in \(L_2)\).
scientific article; zbMATH DE number 881191
scientific article