Algorithm Suited for the Solution of Initial Value Problems in
Engineering Applications
Abstract
It is the scope of this paper to describe the special demands of integration routines
for handling initial value problems in engineering applications. Besides the pure
integration algorithm all other activities of the routine, which can be called the
"interface" between the problem and the integration algorithm, have been taken into
consideration. The requirements needed for correct processing of discontinuities
(time events, state events) and for the proper treatment of memory- and history-functions
are discussed in separate sections. As an example an electro-mechanical system is
discussed. It is shown that an algorithm capable of processing this small system requires
most of the attributes described in this article.
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Last modified: January 23, 2006 -- © François Cellier