Bokus
Vladimir Dorodnitsyn - Applications of Lie Groups to Difference Equations, E-bok

E-bok, Engelska, 2010

Applications of Lie Groups to Difference Equations

Av Vladimir Dorodnitsyn

Del i serien Differential and Integral Equations and Their Applications

1437 kr

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Beskrivning
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
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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

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