Efficient approximation methods for the global long-term behavior of dynamical systems – Theory, algorithms and examples

By (author) Peter Koltai

Book cover: Efficient approximation methods for the global long-term behavior of dynamical systems – Theory, algorithms and examples

Extent: 168 pages

Publisher: Logos Verlag Berlin

Subjects: Technical Sciences: Computer Science, Engineering, IT, & Math

Language: English

Paperback (Published)

(December 2010)

ISBN: 9783832527525

5.71 x 8.27 inches

Price: $64.00

In stock

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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

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