activity
20172020
most citedA splitting/polynomial chaos expansion approach for stochastic evolution equations

1 citations · 1 across the 2 of their papers we have counts for

collaborators

6 papers

math.OC2020

Discounted Cost Linear Quadratic Gaussian Control for Descriptor Systems

Hermann Mena, Lena-Maria Pfurtscheller, Matthias Voigt

We consider the linear quadratic Gaussian control problem with a discounted cost functional for descriptor systems on the infinite time horizon. Based on recent results from the de…

math.NA2019★ 1 cited

A splitting/polynomial chaos expansion approach for stochastic evolution equations

Andreas Kofler, Tijana Levajković, Hermann Mena +1

In this paper, we combine deterministic splitting methods with a polynomial chaos expansion method for solving stochastic parabolic evolution problems. The stochastic differential…

math.NA2018

GPU acceleration of splitting schemes applied to differential matrix equations

Hermann Mena, Lena-Maria Pfurtscheller, Tony Stillfjord

We consider differential Lyapunov and Riccati equations, and generalized versions thereof. Such equations arise in many different areas and are especially important within the fiel…

math.NA2017

An efficient SPDE approach for El Niño

Hermann Mena, Lena Pfurtscheller

We consider the numerical approximation of stochastic partial differential equations (SPDEs) based models for a quasi-periodic climate pattern in the tropical Pacific Ocean known a…

math.NA2017

Numerical low-rank approximation of matrix differential equations

Hermann Mena, Alexander Ostermann, Lena-Maria Pfurtscheller +1

The efficient numerical integration of large-scale matrix differential equations is a topical problem in numerical analysis and of great importance in many applications. Standard n…

math.NA2017

Analysis of Krylov Subspace Approximation to Large Scale Differential Riccati Equations

Antti Koskela, Hermann Mena

We consider a Krylov subspace approximation method for the symmetric differential Riccati equation , . The method we consider is based on p…