Algorithmic Lie Theory for Solving Ordinary Differential Equations

Informationen zum Autor Schwarz, Fritz Klappentext This book serves as a valuable introduction for solving differential equations using Lie's theory and related results. It covers Loewy's theory, Janet bases, the theory of continuous groups of a 2-D manifold, Lie's symmetry analysis, and equivalence problems. The book also identifies the symmetry classes to which quasilinear equations of order two or three belong, transforms these equations to canonical form, solves the canonical equations, and produces the general solutions whenever possible. The appendices include solutions to selected exercises and useful formulae while a website contains the software for performing lengthy algebraic calculations. Zusammenfassung Serves as an introduction for solving differential equations using Lie's theory and related results. This book covers Loewy's theory, Janet bases, the theory of continuous groups of a 2-D manifold, Lie's symmetry analysis, and equivalence problems. Inhaltsverzeichnis 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.

Product details

• Authors: Fritz Schwarz, Fritz (Fraunhofer Gesellschaft Schwarz, Schwarz Fritz
• Publisher: Taylor & Francis Ltd.
• Languages: English
• Product format: Hardback
• Released: 02.10.2007
• EAN: 9781584888895
• ISBN: 978-1-58488-889-5
• No. of pages: 448
• Series: Chapman & Hall/CRC Pure and Applied Mathematics; Monographs and Textbooks in Pu; Chapman & Hall/CRC Pure and Applied Mathematics
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Analysis; Algebra, MATHEMATICS / General, MATHEMATICS / Number Systems, MATHEMATICS / Differential Equations / General, MATHEMATICS / Algebra / General, computer science, Differential calculus & equations, Information technology: general issues, Information technology: general topics, Differential calculus and equations