Existence and uniqueness of generalized solutions to initial value problems for a class of
abstract differential-algebraic equations (DAEs) is shown. The class of equations covers, in …

The computational costs associated with coupled reactive transport simulations are mostly
due to the chemical subsystem: replacing it with a pre-trained statistical surrogate is a …

Die vorliegende Arbeit beschäftigt sich mit der Regularisierung von differentiell-
algebraischen Gleichungen (DAEs) abstrakter Funktionen. Diese sogenannten Operator …

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 …

With the advancement of neural networks, there has been a notable increase, both in terms
of quantity and variety, in research publications concerning the application of autoencoders …

A class of abstract differential-algebraic equations is considered as they occur, eg, in the
modelling of flows. We derive a functional-analytic framework for the analysis of the structure …

As a first step towards time-stepping schemes for constrained PDE systems, this paper
presents convergence results for the temporal discretization of operator DAEs. We consider …

With the advancement of neural networks, there has been a notable increase, both in terms
of quantity and variety, in research publications concerning the application of autoencoders …

In this paper, we compute a phase field (diffuse interface) model of Cahn-Hilliard type for
moving contact line problems governing the motion of isothermal multiphase incompressible …

This work presents a novel reduced-order model (ROM) for the incompressible Navier-
Stokes equations with time-dependent boundary conditions. This ROM is velocity-only, ie …