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Main Authors:	Bakirova, Margarita, Dorodnitsyn, Vladimir, Kozlov, Roman
Format:	Preprint
Published:	2004
Subjects:	Numerical Analysis Adaptation and Self-Organizing Systems
Online Access:	https://arxiv.org/abs/math/0402367
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author	Bakirova, Margarita Dorodnitsyn, Vladimir Kozlov, Roman
author_facet	Bakirova, Margarita Dorodnitsyn, Vladimir Kozlov, Roman
contents	Lie group analysis of differential equations is a generally recognized method, which provides invariant solutions, integrability, conservation laws etc. In this paper we present three characteristic examples of the construction of invariant difference equations and meshes, where the original continuous symmetries are preserved in discrete models. Conservation of symmetries in difference modeling helps to retain qualitative properties of the differential equations in their difference counterparts.
format	Preprint
id	arxiv_https___arxiv_org_abs_math_0402367
institution	arXiv
publishDate	2004
record_format	arxiv
spellingShingle	Symmetry-preserving discrete schemes for some heat transfer equations Bakirova, Margarita Dorodnitsyn, Vladimir Kozlov, Roman Numerical Analysis Adaptation and Self-Organizing Systems Lie group analysis of differential equations is a generally recognized method, which provides invariant solutions, integrability, conservation laws etc. In this paper we present three characteristic examples of the construction of invariant difference equations and meshes, where the original continuous symmetries are preserved in discrete models. Conservation of symmetries in difference modeling helps to retain qualitative properties of the differential equations in their difference counterparts.
title	Symmetry-preserving discrete schemes for some heat transfer equations
topic	Numerical Analysis Adaptation and Self-Organizing Systems
url	https://arxiv.org/abs/math/0402367

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