Efficient approximation methods for the global long-term behavior of dynamical systems – Theory, algorithms and examples
By (author) Peter Koltai
Paperback (Published)
(December 2010)
ISBN: 9783832527525
5.75 x 8.31 inches
Price: $64.00
On back order
In this thesis three new transfer operator based approaches are developed for the analysis of the long-term behavior of dynamical systems. First, a sparse grid discretization is derived in order to deal with the “curse of dimension”. The second method considers the infinitesimal generator of the transfer operator semigroup for continuous-time systems. The third method uses mean field theory to describe the dynamics of subsystems; here the main attention is devoted to conformation analysis in molecular dynamics. Further, conditions are derived such that the Galerkin projection of the transfer operator can be related to a small random perturbation of the underlying system.
- By (author) Peter Koltai
