arXiv subjects

Nadine Stahl

Publications and source records attributed to Nadine Stahl.

2 recordsLinked to original sources

arXiv2022

Certified Reduced Basis Method for the Damped Wave Equations on Networks

In this paper we present a reduced basis method which yields structure-preservation and a tight a posteriori error bound for the simulation of the damped wave equations on networks. The error bound is based on the exponential decay of the energy inside the system and therefore allows for sharp bounds without the need of regularization parameters. The fast convergence of the reduced solution to the truth solution as well as the tightness of the error bound are verified numerically using an academic network as example.

math.NA↗

arXiv2021

Efficient State Estimation for Gas Pipeline Networks via Low-Rank Approximations

In this paper we investigate the performance of projection-based low-rank approximations in Kalman filtering. For large-scale gas pipeline networks structure-preserving model order reduction has turned out to be an advantageous way to compute accurate solutions with much less computational effort. For state estimation we propose to combine these low-rank models with Kalman filtering and show the advantages of this procedure to established low-rank Kalman filters in terms of efficiency and quality of the estimate.

math.OC↗