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Approximating an Infinite System of Ordinary Differential Equations
by
Renuka Ravindran
Department of Mathematics, Indian Institute of Science, Bangalore 560012 India
This lecture deals with the approximation of an infinite system of ordinary differential equations arising in the study of the propagation of an initial discontinuity governed by a simple conservation law. Earlier numerical results had shown that the truncation of this system at a suitable stage gave rise to accurate results. Here an analytical study is done of the approximation - justifying the truncation and analysing initial conditions for which the procedure is valid.
Date received: December 13, 2002
Copyright © 2002 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cajw-55.