Algorithmic Lie Theory for Solving Ordinary Differential Equations

by Fritz Schwarz

Overview

Despite the fact that Sophus Lie's theory was virtually the only systematic method for solving nonlinear ordinary differential equations (ODEs), it was rarely used for practical problems because of the massive amount of calculations involved. But with the advent of computer algebra programs, it became possible to apply Lie theory to concrete proble

Product Details

ISBN-13:	9781040211038
Publisher:	CRC Press
Publication date:	10/02/2007
Series:	Chapman & Hall/CRC Pure and Applied Mathematics
Sold by:	Barnes & Noble
Format:	eBook
Pages:	448
File size:	2 MB

About the Author

Schwarz, Fritz

Table of Contents

Introduction. Linear Differential Equations. Lie Transformation Groups. Equivalence and Invariants of Differential Equations. Symmetries of Differential Equations. Transformation to Canonical Form. Solution Algorithms. Concluding Remarks. Appendices. References. Index.