Passive Integration Methods: Fundamental Theory
Abstract:Methods based on the wave digital concept are suited for the modelling of passive physical systems. The generated wave digital models inhere both a high physical transparency as well as a variety of good numerical properties.
However, the wave digital concept is known for linear multistep methods only. In this context, passivity imposes a limited accuracy. To this end, more universal integration methods are considered in this paper: The so-called general linear methods which cover in particular linear multistep methods and Runge-Kutta methods. In order to establish a new theory for these integration methods, a network theoretical approach is used. A new class of Runge-Kutta methods will be derived. The generated algorithmic models inhere the same good properties as wave digital models but their numerical accuracy is increased. A simulation example for a nonlinear physical system will be given.
Document Type: Original Article
Affiliations: Department of Electrical Engineering and Information Technology/Communications Theory, University of Paderborn, D-33095 Paderborn, Germany. E-mail: email@example.com
Publication date: 2001-05-01