2005-11-03Buch DOI: 10.18452/2592
General Linear Methods for nonlinear DAEs in Circuit Simulation
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.
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