Download Applications of Lie Groups to Difference Equations (Differential and Integral Equations and Their Applications, Volume 8) PDF Free - Full Version
Download Applications of Lie Groups to Difference Equations (Differential and Integral Equations and Their Applications, Volume 8) by Vladimir Dorodnitsyn in PDF format completely FREE. No registration required, no payment needed. Get instant access to this valuable resource on PDFdrive.to!
About Applications of Lie Groups to Difference Equations (Differential and Integral Equations and Their Applications, Volume 8)
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 symmetries are shown to require different geometric mesh structures. The method of finite-difference invariants provides the mesh generating equation, any special case of which guarantees the mesh invariance. A number of examples of invariant meshes is presented. In particular, and with numerous applications in numerics for continuous media, that most evolution PDEs need to be approximated on moving meshes. Based on the developed method of finite-difference invariants, the practical sections of the book present dozens of examples of invariant schemes and meshes for physics and mechanics. In particular, there are new examples of invariant schemes for second-order ODEs, for the linear and nonlinear heat equation with a source, and for well-known equations including Burgers equation, the KdV equation, and the Schr?dinger equation.
Detailed Information
| Author: | Vladimir Dorodnitsyn |
|---|---|
| Publication Year: | 2010 |
| ISBN: | 9781420083095 |
| Pages: | 346 |
| Language: | English |
| File Size: | 1.839 |
| Format: | |
| Price: | FREE |
Safe & Secure Download - No registration required
Why Choose PDFdrive for Your Free Applications of Lie Groups to Difference Equations (Differential and Integral Equations and Their Applications, Volume 8) Download?
- 100% Free: No hidden fees or subscriptions required for one book every day.
- No Registration: Immediate access is available without creating accounts for one book every day.
- Safe and Secure: Clean downloads without malware or viruses
- Multiple Formats: PDF, MOBI, Mpub,... optimized for all devices
- Educational Resource: Supporting knowledge sharing and learning
Frequently Asked Questions
Is it really free to download Applications of Lie Groups to Difference Equations (Differential and Integral Equations and Their Applications, Volume 8) PDF?
Yes, on https://PDFdrive.to you can download Applications of Lie Groups to Difference Equations (Differential and Integral Equations and Their Applications, Volume 8) by Vladimir Dorodnitsyn completely free. We don't require any payment, subscription, or registration to access this PDF file. For 3 books every day.
How can I read Applications of Lie Groups to Difference Equations (Differential and Integral Equations and Their Applications, Volume 8) on my mobile device?
After downloading Applications of Lie Groups to Difference Equations (Differential and Integral Equations and Their Applications, Volume 8) PDF, you can open it with any PDF reader app on your phone or tablet. We recommend using Adobe Acrobat Reader, Apple Books, or Google Play Books for the best reading experience.
Is this the full version of Applications of Lie Groups to Difference Equations (Differential and Integral Equations and Their Applications, Volume 8)?
Yes, this is the complete PDF version of Applications of Lie Groups to Difference Equations (Differential and Integral Equations and Their Applications, Volume 8) by Vladimir Dorodnitsyn. You will be able to read the entire content as in the printed version without missing any pages.
Is it legal to download Applications of Lie Groups to Difference Equations (Differential and Integral Equations and Their Applications, Volume 8) PDF for free?
https://PDFdrive.to provides links to free educational resources available online. We do not store any files on our servers. Please be aware of copyright laws in your country before downloading.
The materials shared are intended for research, educational, and personal use in accordance with fair use principles.
