activity
20172023
most citedExample Setups of Navier-Stokes Equations with Control and Observation: Spatial Discretization and Representation via Linear-quadratic Matrix Coefficients

12 citations · 42 across the 29 of their papers we have counts for

collaborators
Showing 2020Show all

16 papers · 1 filter

math.OC2020

Model Order Reduction for Gas and Energy Networks

Christian Himpe, Sara Grundel, Peter Benner

To counter the volatile nature of renewable energy sources, gas networks take a vital role. But, to ensure fulfillment of contracts under these circumstances, a vast number of poss…

math.NA2020

Parallel Algorithms for Tensor Train Arithmetic

Hussam Al Daas, Grey Ballard, Peter Benner

We present efficient and scalable parallel algorithms for performing mathematical operations for low-rank tensors represented in the tensor train (TT) format. We consider algorithm…

cs.LG2020

Machine Learning for Material Characterization with an Application for Predicting Mechanical Properties

Anke Stoll, Peter Benner

Currently, the growth of material data from experiments and simulations is expanding beyond processable amounts. This makes the development of new data-driven methods for the disco…

math.DS2020

Operator Inference and Physics-Informed Learning of Low-Dimensional Models for Incompressible Flows

Peter Benner, Pawan Goyal, Jan Heiland +1

Reduced-order modeling has a long tradition in computational fluid dynamics. The ever-increasing significance of data for the synthesis of low-order models is well reflected in the…

math.NA20201 cited

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…

math.NA2020

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…