Original Articles

THE STABILITY OF A VARIATIONAL METHOD FOR THE SOLUTION OF A LINEAR HYPERBOLIC INITIAL BOUNDARY VALUE PROBLEM

Published in: Quaestiones Mathematicae
Volume 12 , issue 4 , 1989 , pages: 375–395

DOI: 10.1080/16073606.1989.9632191

Author(s): IM Snyman Department of Mathematics, Applied Mathematics and Astronomy, Republic of South Africa

Keywords: 65M10 , 65160

Abstract

The numerical stability of a variational method that is used to obtain the solution of a one space dimension wave equation with initial and boundary conditions is analyzed. The phase speed and group velocity of the numerical solution are also investigated with respect to that of the exact solution.

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