Optimal Computing Units in the Problem of Discretizing Solutions of the KleinGordon Equation and Their Limit Errors

Abstract

A specific computing unit is indicated that implements the exact order of the error that occurs when discretizing the solution of the Klein–Gordon equation by computing units constructed from exact numerical information about the initial conditions belonging to multidimensional 1-periodic Nikol’skii classes. The limit error of the specified optimal computing unit is found.