Discrete representations of the n-dimensional wave equation

Publisher Website
Google Scholar
Abstract
A system of first-order difference equations on a rectangular n-dimensional lattice is presented, which reduces to the wave equation in the continuum limit. These equations allow solutions of the discrete wave equation to be expressed as summations of paths simpler than those obtained through standard path integral formalism, which in turn allows wave solutions to be simulated by the same Monte Carlo and other methods used to model diffusion phenomena.

This publication has 14 references indexed in Scilit: