We prove first-order convergence of the semi-explicit Euler scheme combined with a finite
element discretization in space for elliptic-parabolic problems which are weakly coupled …

This paper studies bulk–surface splitting methods of first order for (semilinear) parabolic
partial differential equations with dynamic boundary conditions. The proposed Lie splitting …

This thesis is devoted to the application and analysis of time integration schemes for
differential-algebraic equations (DAEs) stated in (abstract) Banach spaces. The existence …

This thesis is concerned with the approximation of dynamical systems and the optimal
control thereof using model order reduction based on proper orthogonal decomposition …

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

Abstract The Navier-Stokes equations are commonly used to model and to simulate flow
phenomena. We introduce the basic equations and discuss the standard methods for the …

We study linear semi-explicit stochastic operator differential algebraic equations (DAEs) for
which the constraint equation is given in an explicit form. In particular, this includes the …

Coupled systems of differential-algebraic equations (DAEs) and partial differential equations
(PDEs) appear in various fields of applications such as electrical engineering, bio …

To deal with a large amount of redundant data in the indirect category database and
inefficient redundancy elimination of the existing methods, we proposed an indirect category …