The FEniCS Project set out in 2003 with an idea to automate the solution of mathematical
models based on differential equations. Initially, the FEniCS Project consisted of two …

Interplay between matrix theory and matroid theory is the main theme of this book, which
offers a matroid-theoretic approach to linear algebra and, reciprocally, a linear-algebraic …

Differential-algebraic equations (DAEs) provide an essential tool for system modeling and
analysis within different fields of applied sciences and engineering. This book addresses …

The development of integrated circuits requires powerful numerical simulation programs.
Naturally, there is no method that treats all the different kinds of circuits successfully. The …

Nonsmooth Modeling and Simulation for Switched Circuits concerns the modeling and the
numerical simulation of switched circuits with the nonsmooth dynamical systems (NSDS) …

Purpose–The purpose of this paper is to review the mutual coupling of electromagnetic
fields in the magnetic vector potential formulation with electric circuits in terms of (modified) …

This paper surveys different analytical aspects of differential-algebraic models of electrical
and electronic circuits. The use of DAEs in circuit modelling has increased in the last two …

This treatise was written during my employment at the Chair of Angewandte Mathematik und
Numerische Analysis of the Bergische Universität Wuppertal and my post-graduate research …

Coupled Systems of Differential Algebraic and Partial Differential Equations in Circuit and
Device Simulation Page 1 Coupled Systems of Differential Algebraic and Partial Differential …

Instability and oscillation issues originating in high-voltage direct current (HVDC) systems
comprising modular multilevel converters (MMCs) are gaining increasing interest in the …