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Applications of Lie Groups to Difference Equations (Differential and Integral Equations and Their Applications) by Vladimir Dorodnitsyn is a nonfiction available to read on EtoBox.
What is Applications of Lie Groups to Difference Equations (Differential and Integral Equations and Their Applications) about?
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 and results in a new area of application of Lie groups to difference equations, difference meshes (lattices), and difference functionals, this book focuses on the preservation of complete symmetry of original differential equations in numerical schemes. This symmetry preservation results in symmetry reduction of the difference model along with that of the original partial differential equations and in order reduction for ordinary difference equations.** A substantial part of the book is concerned with conservation laws and first integrals for difference models. The variational approach and Noether type theorems for difference equations are presented in the framework of the Lagrangian and Hamiltonian formalism for difference equations. In addition, the book develops difference mesh geometry based on a symmetry group, because different s
Who reads Applications of Lie Groups to Difference Equations (Differential and Integral Equations and Their Applications)?
It is typically read by self-directed learners exploring a subject in depth.
Common subject areas: history, science, philosophy, social sciences.
- Author
- Vladimir Dorodnitsyn
- Publisher
- Chapman and Hall/CRC
- Published
- 2010
- Language
- EN
- ISBN
- 9781138118232
- Category
- nonfiction
- Subjects
- Mathematics, Stem
Other editions & translations
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