Cardiovascular diseases have a major impact in Western countries. Mathematical models
and numerical simulations can aid the understanding of physiological and pathological …

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 …

In this paper we consider a non-standard dynamical inverse problem for the wave equation
on a metric tree graph. We assume that positive masses may be attached to the internal …

This work presents the application of the reduced differential transform method (RDTM) to
find solutions of partial differential‐algebraic equations (PDAEs). Two systems of index‐two …

The goal of this paper is to model and simulate the lateral photovoltage scanning (LPS)
method which detects inhomogeneities in semiconductor crystals. Our drift-diffusion model is …

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

In biomechanics, local phenomena, such as tissue perfusion, are strictly related to the global
features of the surrounding blood circulation. In this paper, we propose a heterogeneous …

We are interested in a convergent numerical discretization scheme for nonlinear differential
algebraic equations (DAEs) coupled with elliptic constraints. The dynamics of flow networks …