The application of high-temperature superconductors to accelerator magnets for future
particle colliders is under study. Numerical methods are crucial for an accurate evaluation of …

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 …

Coupled systems of differential-algebraic equations (DAEs) may suffer from instabilities
during a dynamic iteration. We extend the existing analysis on recursion estimates, error …

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 …

Superconducting accelerator magnets require sophisticated monitoring and means of
protection due to the large energy stored in the magnetic field. Numerical simulations play a …

In this paper, we propose an optimized field/circuit coupling approach for the simulation of
magnetothermal transients in superconducting magnets. The approach improves the …

While waveform relaxation (also known as dynamic iteration or co-simulation) methods are
known to converge for coupled systems of ordinary differential equations (ODEs), they may …

This book deals with the analysis and development of numerical methods for the time-
domain analysis of multiphysical effects in superconducting circuits of particle accelerator …

The magnetoquasistatic simulation of large power converters, in particular transformers,
requires efficient models for their foils windings by means of homogenization techniques …