9 citations · 43 across the 22 of their papers we have counts for
18 papers · 1 filter
Structure-Preserving Data-Driven Identification of Port-Hamiltonian Differential-Algebraic Systems
Tom Zwerschke, Matthias Ehrhardt, Michael Günther +1
We present a data-driven approach to identifying linear index-1 differential-algebraic pH systems (pH-DAEs) based on input-output measurements. In comparison to the identification…
Energy-Consistent Splitting and Decomposition Approaches for Coupled port-Hamiltonian ODEs
Marius Mönch, Nicole Marheineke, Andreas Bartel +2
Operator splitting provides an attractive approach for the numerical integration of (coupled) port-Hamiltonian systems, as it allows the underlying system structure to be exploited…
Operator splitting for coupled linear port-Hamiltonian systems
Jan Lorenz, Tom Zwerschke, Michael Günther +1
Operator splitting methods tailored to coupled linear port-Hamiltonian systems are developed. We present algorithms that are able to exploit scalar coupling, as well as multirate p…
Splitting Techniques for DAEs with port-Hamiltonian Applications
Andreas Bartel, Malak Diab, Andreas Frommer +2
In the simulation of differential-algebraic equations (DAEs), it is essential to employ numerical schemes that take into account the inherent structure and maintain explicit or hid…
Hessian-free force-gradient integrators
Kevin Schäfers, Jacob Finkenrath, Michael Günther +1
We propose a new framework of Hessian-free force-gradient integrators that do not require the analytical expression of the force-gradient term based on the Hessian of the potential…
Operator splitting for port-Hamiltonian systems
Andreas Frommer, Michael Günther, Björn Liljegren-Sailer +1
The port-Hamiltonian approach presents an energy-based modeling of dynamical systems with energy-conservative and energy-dissipative parts as well as an interconnection over the so…
Port-Hamiltonian Systems Modelling in Electrical Engineering
Andreas Bartel, Markus Clemens, Michael Günther +2
The port-Hamiltonian modelling framework allows for models that preserve essential physical properties such as energy conservation or dissipative inequalities. If all subsystems ar…
Structure-preserving identification of port-Hamiltonian systems -- a sensitivity-based approach
Michael Günther, Birgit Jacob, Claudia Totzeck
We present a gradient-based calibration algorithm to identify a port-Hamiltonian system from given time-domain input-output data. The gradient is computed with the help of sensitiv…
Operator Splitting Based Dynamic Iteration for Linear Port-Hamiltonian Systems
Andreas Bartel, Michael Günther, Birgit Jacob +1
A dynamic iteration scheme for linear differential-algebraic port-Hamil\-tonian systems based on Lions-Mercier-type operator splitting methods is developed. The dynamic iteration i…
Spline-oriented inter/extrapolation-based multirate schemes of higher order
Kevin Schäfers, Andreas Bartel, Michael Günther +1
Multirate integration uses different time step sizes for different components of the solution based on the respective transient behavior. For inter/extrapolation-based multirate sc…
Symplectic GARK methods for partitioned Hamiltonian systems
Michael Günther, Adrian Sandu, Kevin Schäfers +1
Generalized Additive Runge-Kutta schemes have shown to be a suitable tool for solving ordinary differential equations with additively partitioned right-hand sides. This work develo…
Linearly implicit GARK schemes
Adrian Sandu, Michael Günther, Steven Roberts
Systems driven by multiple physical processes are central to many areas of science and engineering. Time discretization of multiphysics systems is challenging, since different proc…
Dynamic iteration schemes and port-Hamiltonian formulation in coupled DAE circuit simulation
Michael Günther, Andreas Bartel, Birgit Jacob +1
Electric circuits are usually described by charge- and flux-oriented modified nodal analysis. In this paper, we derive models as port-Hamiltonian systems on several levels: overall…
Inter/extrapolation-based multirate schemes -- a dynamic-iteration perspective
Andreas Bartel, Michael Günther
Multirate behavior of ordinary differential equations (ODEs) and differential-algebraic equations (DAEs) is characterized by widely separated time constants in different components…
A Multi-step Scheme based on Cubic Spline for solving Backward Stochastic Differential Equations
Long Teng, Aleksandr Lapitckii, Michael Günther
In this work we study a multi-step scheme on time-space grids proposed by W. Zhao et al. [28] for solving backward stochastic differential equations, where Lagrange interpolating p…
Adapted nested force-gradient integrators: the Schwinger model case
Dmitry Shcherbakov, Matthias Ehrhardt, Jacob Finkenrath +3
We study a novel class of numerical integrators, the adapted nested force-gradient schemes, used within the molecular dynamics step of the Hybrid Monte Carlo (HMC) algorithm. We te…
Force-Gradient Nested Multirate Methods for Hamiltonian System
Dmitry Shcherbakov, Matthias Ehrhardt, Michael Günther +1
Force-gradient decomposition methods are used to improve the energy preservation of symplectic schemes applied to Hamiltonian systems. If the potential is composed of different par…
A class of generalized additive Runge-Kutta methods
Adrian Sandu, Michael Guenther
This work generalizes the additively partitioned Runge-Kutta methods by allowing for different stage values as arguments of different components of the right hand side. An order co…