Now showing items 1-3 of 3
Reduced basis methods for parabolic PDEs with parameter functions in high dimensions and applications in finance
(Universität Ulm, 2016-06-23)
The present thesis deals with variants of the space-time reduced basis method for parametrised parabolic partial differential equations. The reduced basis method is a well-known projection based model reduction technique ...
Curvature based criteria for slow invariant manifold computation: from differential geometry to numerical software implementations for model reduction in hydrocarbon combustion
(Universität Ulm, 2017-05-04)
Mathematical models for chemical kinetics are multiple times scale dynamical systems based on ordinary differential equations and can be reduced in order to decrease the dimensionality of the state space and the complexity ...
Noncoercive and parabolic variational inequalities : analysis, applications and model reduction
(Universität Ulm, 2018)
Variational inequalities appear in a variety of practically relevant problems, e.g., in engineering, medicine, or finance. The theory of stationary coercive variational inequalities is quite well-developed. Much less is ...