Applications of Lie Groups to Difference Equations
Published on 1. December 2010
344 pages
978-1-040-20815-1 (ISBN)
Description
Intended for researchers, numerical analysts, and graduate students in various fields of applied mathematics, physics, mechanics, and engineering sciences, Applications of Lie Groups to Difference Equations is the first book to provide a systematic construction of invariant difference schemes for nonlinear differential equations. A guide to methods
Reviews / Votes
The book provides a systematic application of Lie groups to difference equations, difference meshes, and difference functionals. Besides the well-explained theoretical background and motivations, there is also a large number of concrete examples discussed in reasonable details. Due to the fairly broad introductory part, the book is indeed self-contained. The main ideas and concepts appear understandable not only to experts.-Vojtech Zadnik, Zentralblatt MATH 1236
In recent years "difference geometry" and its applications to integrable systems and mathematical physics have attracted significant attention and this monograph will contribute to the ongoing developments in this general area. It is clearly written and largely self-contained ...
-Peter J. Vassiliou, Mathematical Reviews, 2012e
More details
Series
Language
English
Place of publication
London
United Kingdom
Publishing group
Taylor & Francis Ltd
Target group
Professional and scholarly
File size
1,96 MB
ISBN-13
978-1-040-20815-1 (9781040208151)
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Schweitzer Classification
Other editions
Additional editions
Vladimir Dorodnitsyn
Applications of Lie Groups to Difference Equations
Book
06/2017
1st Edition
CRC Press
€117.79
Shipment within 10-20 days
Vladimir Dorodnitsyn
Applications of Lie Groups to Difference Equations
Book
12/2010
1st Edition
Chapman & Hall/CRC
€326.83
Shipment within 15-20 days
Person
Content
Introduction. Finite differences and transformation groups in space of discrete variables. Invariance of finite difference equations and meshes. Invariant difference models of ordinary differential equations. Invariant difference models of partial differential equations. Combined models, admitting a transformation group. The discrete representation of a differential equation. Invariant variational problem and conservation laws for difference equations.
