Name: Efficient Approximation Methods for the Global Long-Term Behavior of Dynamical Systems - Theory, Algorithms and Examples (en Inglés)
Price: 88.94 USD
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Author: Koltai, Peter
ISBN: 9783832527525

portada Efficient Approximation Methods for the Global Long-Term Behavior of Dynamical Systems - Theory, Algorithms and Examples (en Inglés)

Efficient Approximation Methods for the Global Long-Term Behavior of Dynamical Systems - Theory, Algorithms and Examples (en Inglés)

Formato

Libro Físico

Editorial

Logos Verlag Berlin

Autor

Koltai, Peter

Año

2010

Idioma

Inglés

N° páginas

168

Encuadernación

Tapa Blanda

ISBN13

9783832527525

Efficient Approximation Methods for the Global Long-Term Behavior of Dynamical Systems - Theory, Algorithms and Examples (en Inglés)

Koltai, Peter (Autor) · Logos Verlag Berlin · Tapa Blanda

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Reseña del libro "Efficient Approximation Methods for the Global Long-Term Behavior of Dynamical Systems - Theory, Algorithms and Examples (en Inglés)"

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.