Semi-explicit discretization schemes for weakly coupled elliptic-parabolic problems

R Altmann, R Maier, B Unger - Mathematics of Computation, 2021 - ams.org
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 …

Delay regularity of differential-algebraic equations

S Trenn, B Unger - 2019 IEEE 58th Conference on Decision …, 2019 - ieeexplore.ieee.org
We study linear time-invariant delay differential-algebraic equations (DDAEs). Such
equations can arise if a feedback controller is applied to a descriptor system and the …

Semi-explicit integration of second order for weakly coupled poroelasticity

R Altmann, R Maier, B Unger - BIT Numerical Mathematics, 2024 - Springer
We introduce a semi-explicit time-step** scheme of second order for linear poroelasticity
satisfying a weak coupling condition. Here, semi-explicit means that the system, which …

Analysis and Computation of the Norm of Delay Differential Algebraic Equations

MA Gomez, W Michiels - IEEE Transactions on Automatic …, 2019 - ieeexplore.ieee.org
We consider a class of dynamical systems described by linear delay differential algebraic
equations (DDAEs) called strangeness free, which is broader than the class commonly …

[책][B] Well-posedness and realization theory for delay differential-algebraic equations

B Unger - 2020 - search.proquest.com
Well-Posedness and Realization Theory for Delay Differential-Algebraic Equations Page 1
WELL-POSEDNESS AND REALIZATION THEORY FOR DELAY DIFFERENTIAL-ALGEBRAIC …

On the Strong Norm of Differential Algebraic Systems With Multiple Delays: Finiteness Criteria, Regularization, and Computation

MA Gomez, RM Jungers… - IEEE Transactions on …, 2020 - ieeexplore.ieee.org
The norm of an exponentially stable system described by delay differential algebraic
equations (DDAEs) might be infinite due to the existence of hidden feedthrough terms and …

Emulating complex networks with a single delay differential equation

F Stelzer, S Yanchuk - The European Physical Journal Special Topics, 2021 - Springer
A single dynamical system with time-delayed feedback can emulate networks. This property
of delay systems made them extremely useful tools for Machine-Learning applications. Here …

Lyapunov-based stability of delayed linear differential algebraic systems

A Al Sawoor, M Sadkane - Applied Mathematics Letters, 2021 - Elsevier
Lyapunov-based stability of delayed linear differential algebraic systems - ScienceDirect
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The Pantelides algorithm for delay differential-algebraic equations

I Ahrens, B Unger - Transactions of Mathematics and Its …, 2020 - academic.oup.com
We present a graph-theoretical approach that can detect which equations of a delay
differential-algebraic equation (DDAE) need to be differentiated or shifted to construct a …

Modeling active optical networks

G Giacomelli, A Politi, S Yanchuk - Physica D: Nonlinear Phenomena, 2020 - Elsevier
The recently introduced complex active optical network (LANER) generalizes the concept of
laser system to a collection of links, building a bridge with random-laser physics and …