Publisher Summary This chapter discusses the modeling aspect of differential-algebraic
equations (DAEs). In computational engineering, the network modeling approach forms the …

To solve ODE systems with different time scales which are localized over the components,
multirate time stepping is examined. In this paper we introduce a self-adjusting multirate time …

Subunits of coupled technical systems typically behave on differing time scales, which are
often separated by several orders of magnitude. An ordinary integration scheme is limited by …

In communication electronics, radio frequency applications are characterised by widely
separated time scales. This behaviour increases both computation costs and problems …

This paper deals with the stability analysis of BDF Slowest-first multirate time-integration
methods applied to the transient analysis of circuit models. From an asymptotic analysis it …

Circuit simulation is an essential step within circuit design. Because of the increasing
complexity of the Integrated Circuits, electronic companies need fast and accurate …

Reduced order models are usually derived by performing the Galerkin projection procedure,
where the original equations are projected onto the space spanned by a set of …

The simulation of integrated circuits demands an increasing amount of computational
resources. Due to latency, the numerical integration based on multirate methods might be …

Recent developments of new methods for simulating electric circuits are described.
Emphasis is put on methods that fit existing datastructures for backward differentiation …

En esta Tesis se desarrollan nuevos métodos de integración para ecuaciones diferenciales
ordinarias. Siguiendo la idea de los métodos de integración basados en cuantificación, es …