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Synthesis and Design of Passive Runge-Kutta Methods

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Abstract:

Recently, the concept of passive Runge-Kutta methods for numerical integration has been presented. With the fundamental theory thus provided, the goal of this paper is to cover some of the aspects relevant for an actual implementation of the methods derived. For this, procedures for the synthesis of corresponding wave flow diagrams are developed. Some design examples for PDIRK methods are given. Finally, a simulation example is presented in order to verify the functionality of the methods derived.

Keywords: Passive integration; Runge-Kutta methods; Wave digital structures

Document Type: Original Article

DOI: https://doi.org/10.1078/14348410122267735

Affiliations: Department of Electrical Engineering and Information Technology/Communications Theory, University of Paderborn, D-33095 Paderborn, Germany. E-mail: fraenken@ieee.org, ochs@ieee.org

Publication date: 2001-12-01

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