Symmetry Analysis of Differential Equations with Mathematica®

The first publication to offer speedy, computer-algebra based calulations and solutions using Lie's methods and techniques. An invaluable tool for scientists, mathematicians and engeineers, dealing with symmetry analysis of differential equations.

The author shows how to use Mathematica to quickly perform computations that would be both time consuming and cumbersome if done by hand

Includes a CD-ROM containing Mathematica 3.0 notebooks for interacting directly with the code provided in the book

Also includes the authors proprietary "MathLie" software, which aids in performing algebraic computations

Each section of the book describes the theoretical foundations of the material, then shows the application in connection with Mathematica

The book contains many working examples relating to the applications of Lie's theory

Zusammenfassung
"The book is essentially an extensive user manual for the Mathematica program ... . The book concentrates very much on computational aspects and should be useful for engineers and scientists who want to learn fast the basic computational recipes for a symmetry analysis. ... The strength of the book are the close integration of computer algebra and the large number of examples often stemming from real applications." (Werner M.Seiler, zbMATH 0946.35002, 2021)

Inhalt
Introduction.- Elements of Symmetry Analysis.- Derivatives.- Symmetries of Ordinary Differential Equations.- Point Symmetries of Partial Differential Equations.- Non-Classical Symmetries of Partial Differential Equations.- Potential Symmetries of Partial Differential Equations.- Approximate Symmetries of Partial Differential Equations.- Generalized Symmetries of Partial Differential Equations.- Solution of Coupled Linear Partial Differential Equations.- Appendix.- Index.