3 papers
cs.LG2021
Machine Learning for Initial Value Problems of Parameter-Dependent Dynamical Systems
Roland Pulch, Maha Youssef
We consider initial value problems of nonlinear dynamical systems, which include physical parameters. A quantity of interest depending on the solution is observed. A discretisation…
math.NA2019
Stability-preserving model order reduction for linear stochastic Galerkin systems
Roland Pulch
Mathematical modeling often yields linear dynamical systems in science and engineering. We change physical parameters of the system into random variables to perform an uncertainty…
math.NA2018
Sensitivity analysis of random linear dynamical systems using quadratic outputs
Roland Pulch, Akil Narayan
In uncertainty quantification, a stochastic modelling is often applied, where parameters are substituted by random variables. We investigate linear dynamical systems of ordinary di…