12 citations · 42 across the 29 of their papers we have counts for
10 papers · 1 filter
Palindromic linearization and numerical solution of nonsymmetric algebraic T-Riccati equations
Peter Benner, Bruno Iannazzo, Beatrice Meini +1
We identify a relationship between the solutions of a nonsymmetric algebraic T-Riccati equation (T-NARE) and the deflating subspaces of a palindromic matrix pencil, obtained by arr…
Learning Dynamics from Noisy Measurements using Deep Learning with a Runge-Kutta Constraint
Pawan Goyal, Peter Benner
Measurement noise is an integral part while collecting data of a physical process. Thus, noise removal is a necessary step to draw conclusions from these data, and it often becomes…
Learning reduced order models from data for hyperbolic PDEs
Neeraj Sarna, Peter Benner
Given a set of solution snapshots of a hyperbolic PDE, we are interested in learning a reduced order model (ROM). To this end, we propose a novel decompose then learn approach. We…
Next-Gen Gas Network Simulation
Christian Himpe, Sara Grundel, Peter Benner
To overcome many-query optimization, control, or uncertainty quantification work loads in reliable gas and energy network operations, model order reduction is the mathematical tech…
A Greedy Data Collection Scheme For Linear Dynamical Systems
Karim Cherifi, Pawan Goyal, Peter Benner
Mathematical models are essential to analyze and understand the dynamics of complex systems. Recently, data-driven methodologies have got a lot of attention which is leveraged by a…
Multivariate moment matching for model order reduction of quadratic-bilinear systems using error bounds
Muhammad Altaf Khattak, Mian Ilyas Ahmad, Lihong Feng +1
We propose an adaptive moment-matching framework for model order reduction of quadratic-bilinear descriptor systems. In this framework, an important issue is the selection of those…