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Science/Engineering Variational Integrators and Generating Functions for Stochastic

Posted on 2010-03-16




Name:Science/Engineering Variational Integrators and Generating Functions for Stochastic
ASIN/ISBN:386644155X
Language:English
File size:2.7 Mb
Publish Date: 2007-09-05
ISBN: 386644155X
Pages: 144 pages
File Type: PDF
File Size: 2.7 MB
Other Info: Universitätsverlag Karlsruhe
   Science/Engineering Variational Integrators and Generating Functions for Stochastic

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Wang Lijin "Variational Integrators and Generating Functions for Stochastic"

In this work, the stochastic version of the variational principle is established, important for stochastic symplectic integration, and for structure-preserving algorithms of stochastic dynamical systems. Based on it, the stochastic variational integrators in formulation of stochastic Lagrangian functions are proposed, and some applications to symplectic integrations are given. Three types of generating functions in the cases of one and two noises are discussed for constructing new schemes.

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