An Eulerian Method for Capturing Caustics

Author: Benamou J-D.   Solliec I.  

Publisher: Academic Press

ISSN: 0021-9991

Source: Journal of Computational Physics, Vol.162, Iss.1, 2000-07, pp. : 132-163

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Abstract

A robust numerical method for the localization of caustics is proposed for general Hamiltonians. It is based on the direct resolution of a system of partial differential equations obtained through a local change of the time variable in the Hamilton–Jacobi equation and complemented by a set of transport equations. Numerical results (1- to 3-D) are presented.