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 …

Today's most commonly used circuit models increasingly tend to lose their validity in circuit
simulation due to rapid technological developments, miniaturization and increased …

In science and engineering, simulation tasks often involve numerical time integration of
differential equations. Usually, these systems contain different time constants of the involved …

Modeling with partial differential-algebraic equations is a natural and universal approach
valid for various applications with coupled subsystems. This contribution summarizes the …

In multiphysical modeling coupled problems naturally occur. Each subproblem is commonly
represented by a system of partial differential-algebraic equations. Applying the method of …

This thesis addresses differential-algebraic equations (DAEs). They play an important role in
the modeling, simulation and optimization of networks and coupled problems in various …

Multirate behavior of ordinary differential equations (ODEs) and differential-algebraic
equations (DAEs) is characterized by widely separated time constants in different …

We consider a system of partial differential–algebraic equations which model an electric
network containing semiconductor devices. The zero-dimensional differential–algebraic …

Known solvability results for nonlinear index‐1 differential‐algebraic equations (DAEs) are
in general local and rely on the Implicit Function Theorem. In this paper, we derive a global …