6 citations · 12 across the 7 of their papers we have counts for
7 papers
Data-Driven Snapshot Calibration via Monotonic Feature Matching
Neeraj Sarna, Jan Giesselmann, Peter Benner
Snapshot matrices of hyperbolic equations have a slow singular value decay, resulting in inefficient reduced-order models. We develop on the idea of inducing a faster singular valu…
A rational Even-IRA algorithm for the solution of T-even polynomial eigenvalue problems
Peter Benner, Heike Fassbender, Philip Saltenberger
In this work we present a rational Krylov subspace method for solving real large-scale polynomial eigenvalue problems with T-even (that is, symmetric/skew-symmetric) structure. Our…
Automatic Decoupling and Index-aware Model-Order Reduction for Nonlinear Differential-Algebraic Equations
Nicodemus Banagaaya, Giuseppe Ali, Sara Grundel +1
We extend the index-aware model-order reduction method to systems of nonlinear differential-algebraic equations with a special nonlinear term f(Ex), where E is a singular matrix. S…
Identification of Dominant Subspaces for Linear Structured Parametric Systems and Model Reduction
Peter Benner, Pawan Goyal, Igor Pontes Duff
In this paper, we discuss a novel model reduction framework for generalized linear systems. The transfer functions of these systems are assumed to have a special structure, e.g., c…
Invariant Galerkin Ansatz Spaces and Davison-Maki Methods for the Numerical Solution of Differential Riccati Equations
Maximilian Behr, Peter Benner, Jan Heiland
The differential Riccati equation appears in different fields of applied mathematics like control and system theory. Recently Galerkin methods based on Krylov subspaces were develo…
Data-Driven Identification of Rayleigh-Damped Second-Order Systems
Igor Pontes Duff, Pawan Goyal, Peter Benner
In this paper, we present a data-driven approach to identify second-order systems, having internal Rayleigh damping. This means that the damping matrix is given as a linear combina…