Equations paraboliques d'ordre élevé : représentations analytiques de solutions numériques

Abstract
A parabolic wave equation is etablished with a particular approximation by rational fraction of degree N. An analytical solution is given for this approximate equation, in the case of a homogeneous medium of constant depth with a free surface and a rigid bottom. An analytical representation is also obtained for the numerical solution of this equation by the alternating direction implicit (ADI) method. The advantages of this method over the usual ones are indicated.