Symmetry and Integration Methods for Differential Equations

• Main Authors: Bluman, George W. (Author), Anco, Stephen C. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York, 2002.
• Series: Applied Mathematical Sciences, 154
• Subjects: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Applied mathematics.; Engineering mathematics.; Physics.; Applications of Mathematics.; Theoretical, Mathematical and Computational Physics.; Analysis.

This book is a significant update of the first four chapters of Symmetries and Differential Equations (1989; reprinted with corrections, 1996), by George W. Bluman and Sukeyuki Kumei. Since 1989 there have been considerable developments in symmetry methods (group methods) for differential equations...

Table of Contents:

• Dimensional Analysis, Modeling, and Invariance
• Lie Groups of Transformations and Infinitesimal Transformations
• Ordinary Differential Equations (ODEs)
• Partial Differential Equations (PDEs).