Dr. Florian Augustin

Research

Diploma thesis: "Zur Numerik des Polynomiellen Chaos bei Differentialgleichungen"
(in cooperation with Siemens Corporate Technology PP2)
Numerics of stochastic collocation
Numerics of stochastic Galerkin method (example)

Augustin, F., Rentrop, P.:
Rosenbrock methods
In: Encyclopedia of Applied and Computational Mathematics, Springer Verlag, to appear 2013
Augustin, F.:
Generalized Wiener expansions for the numerical solution of random ordinary differential equations
Dr. Hut Verlag (2012), ISBN 978-3-8439-0320-2
Augustin, F., Rentrop, P.:
Stochastic Galerkin Techniques for Random Ordinary Differential Equations
Numerische Mathematik 122, 399-419 (2012)
Villegas, M., Augustin, F., Gilg, A., Hmaidi, A., Wever, U.:
Application of the Polynomial Chaos Expansion to the simulation
of Chemical Reactors with Uncertainties
Mathematics and Computers in Simulation 82, 805–817 (2012).
Augustin, F., Rentrop, P., Wever, U.:
Wiener Calculus for Differential Equations with Uncertainties
Progress in Industrial Mathematics at ECMI 2010,
Mathematics in Industry 17, 271-282, Springer Berlin-Heidelberg 2012
Augustin, F., Rentrop, P.:
Numerics of the Van Der Pol equation with random parameter
Proceedings MathMod 09 Vienna
Augustin, F., Gilg, A., Paffrath, M., Rentrop, P., Wever, U.:
Polynomial Chaos for the Approximation of Uncertainties: Chances and Limits
Euro. Jnl. of Applied Mathematics 19, 149–190 (2008).

17th European Conference on Mathematics for Industry 2012
Lund University, 2012
Workshop GAMM-FA "Dynamik und Regelungstheorie"
University of Bayreuth, 2011
Large-scale Inverse Problems and Quantification of Uncertainty
University of Minnesota, IMA, 2011
Uncertainty Quantification in Industrial and Energy Applications:
Experiences and Challenges, University of Minnesota, IMA, 2011
GAMM 2011, 82. Annual Meeting
Graz University of Technology, 2011
Computing with Uncertainty: Mathematical Modeling, Numerical Approximation
and Large Scale Optimization of Complex Systems with Uncertainty,
University of Minnesota, IMA, 2010
GAMM 2010, 81. Annual Meeting
University of Karlsruhe, KIT, 2010
Numdiff 12
Martin-Luther University Halle-Wittenberg, 2009
Vienna Conference on Mathematical Modelling (MathMod)
Technical University of Vienna, 2009
Opportunities and Challenges in Applying Polynomial Chaos Expansions
to Engineering Design and Analysis, USC, 2008