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{ "item_title" : "Efficient Approximation Methods for the Global Long-Term Behavior of Dynamical Systems - Theory, Algorithms and Examples", "item_author" : [" Peter Koltai "], "item_description" : "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.", "item_img_path" : "https://covers2.booksamillion.com/covers/bam/3/83/252/752/3832527524_b.jpg", "price_data" : { "retail_price" : "64.00", "online_price" : "64.00", "our_price" : "64.00", "club_price" : "64.00", "savings_pct" : "0", "savings_amt" : "0.00", "club_savings_pct" : "0", "club_savings_amt" : "0.00", "discount_pct" : "10", "store_price" : "" } }
Efficient Approximation Methods for the Global Long-Term Behavior of Dynamical Systems - Theory, Algorithms and Examples|Peter Koltai

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

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Overview

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.

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Details

  • ISBN-13: 9783832527525
  • ISBN-10: 3832527524
  • Publisher: Logos Verlag Berlin
  • Publish Date: December 2010
  • Dimensions: 8.11 x 5.71 x 0.41 inches
  • Shipping Weight: 0.5 pounds
  • Page Count: 168

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