General linear methods for nonlinear DAEs in circuit simulation
Please always quote using this URN:urn:nbn:de:0296-matheon-1889
- The Modified Nodal Analysis leads to differential algebraic equations with properly stated leading terms. In this article a special structure of the DAEs modelling electrical circuits is exploited in order to derive a new decoupling for nonlinear index-2 DAEs. This decoupling procedure leads to a solvability result and is also used to study general linear methods, a class of numerical schemes that covers both Runge-Kutta and linear multistep methods. Convergence for index-2 DAEs is proved.
Author: | Steffen Voigtmann |
---|---|
URN: | urn:nbn:de:0296-matheon-1889 |
Referee: | Caren Tischendorf |
Document Type: | Preprint, Research Center Matheon |
Language: | English |
Date of first Publication: | 2004/11/30 |
Release Date: | 2004/11/29 |
Institute: | Technische Universität Berlin |
Preprint Number: | 182 |