Publications
2003
Issue 15

MiS Preprint Repository

We have decided to discontinue the publication of preprints on our preprint server end of 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint

15/2003

On the $Γ$ -Convergence of Discrete Dynamics and Variational Integrators

Stefan Müller and Michael Ortiz

Abstract

For a simple class of Lagrangians and variational integrators, derived by time discretization of the action functional, we supply conditions ensuring: i) The $Γ$ -convergence of the discrete action sum to the action functional; ii) The weak $^{*}$ convergence of the discrete trajectories in $W^{1, \infty} (R)$ and uniform convergence on compact subsets; and iii) The convergence of the Fourier transform of the discrete trajectories as measures in the flat norm.

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Received:: 18.02.03

Published:: 18.02.03

Keywords:: discrete dynamics, variational integrators, gamma-convergence, spectral convergence, flat norm

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inJournal

2004 Repository Open Access

Stefan Müller and Michael Ortiz

On the $Γ$ -convergence of discrete dynamics and variational integrators

In: Journal of nonlinear science, 14 (2004) 3, pp. 279-296

BibTex DOI: 10.1007/BF02666023

MiS Preprint Repository

On the Γ-Convergence of Discrete Dynamics and Variational Integrators

Abstract

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On the Γ-convergence of discrete dynamics and variational integrators

On the $Γ$ -Convergence of Discrete Dynamics and Variational Integrators

On the $Γ$ -convergence of discrete dynamics and variational integrators