An interval version of Wendroff’s method for solving the wave equation
Barbara Szyszka · AIP conference proceedings · 2016
The paper is devoted to an implicit interval method for solving the wave equation. We consider an interval version of Wendroff’s method, which is constructed so as to include the estimation of the approximation error. The computer calculations were performed in floating point interval arithmetic, in order to control the round-off errors, and to obtain a solution, which contains the exact solution, in interval form.