4 citations · 7 across the 10 of their papers we have counts for
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Stability preservation in Galerkin-type projection-based model order reduction
Roland Pulch
We consider linear dynamical systems consisting of ordinary differential equations with high dimensionality. The aim of model order reduction is to construct an approximating syste…
Balanced truncation for model order reduction of linear dynamical systems with quadratic outputs
Roland Pulch, Akil Narayan
We investigate model order reduction (MOR) for linear dynamical systems, where a quadratic output is defined as a quantity of interest. The system can be transformed into a linear…
Stability preservation in stochastic Galerkin projections of dynamical systems
Roland Pulch, Florian Augustin
In uncertainty quantification, critical parameters of mathematical models are substituted by random variables. We consider dynamical systems composed of ordinary differential equat…
Index-analysis for a method of lines discretising multirate partial differential algebraic equations
Roland Pulch, Diana Estevez Schwarz, Rene Lamour
In radio frequency applications, electric circuits generate signals, which are amplitude modulated and/or frequency modulated. A mathematical modelling yields typically systems of…
Model order reduction for random nonlinear dynamical systems and low-dimensional representations for their quantities of interest
Roland Pulch
We examine nonlinear dynamical systems of ordinary differential equations or differential algebraic equations. In an uncertainty quantification, physical parameters are replaced by…