BDF Compound-Fast Multirate Transient Analysis with Adaptive Stepsize Control

Backward Difference Formula; Circuit simulation; Differential-algebraic equations; Discretization
error; Multirate; Numerical time integration; Partitioning; Transient analysis

Abstract: Transient analysis is an important circuit simulation technique. The circuit
model, which is a system of differential-algebraic equations, is solved for a given initial
condition using numerical time integration techniques. Multirate methods are efficient if
the dynamical behaviour of the circuit model is not uniform. This paper deals with the
analysis and control of the discretization errors for multirate time integration methods.

c 2008 European Society of Computational Methods in Sciences and Engineering


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