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) …

Simulating the transient effects occurring in superconducting accelerator magnet circuits
requires including the mutual electro-thermo-dynamic interaction among the circuit …

Differential equations arising in many practical applications are characterized by multiple
time scales. Multirate time integration seeks to solve them efficiently by discretizing each …

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 …

In this paper, we present an overview of existing and ongoing developments in multirate and
cosimulation. These are structured into thematical sections, providing general information on …

A broad range of scientific simulations involve solving large-scale computationally
expensive linear systems of equations. Iterative solvers are typically preferred over direct …

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

We consider implicit co-simulation and solver-coupling methods, where different subsystems
are coupled in time domain in a weak sense. Within such weak coupling approaches, a …

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 …