Fritz Schwarz

Algorithmic Lie Theory for Solving Ordinary Differential Equations (eBook, PDF)

• Format: PDF

Produktbeschreibung

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.

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Produktdetails

• Verlag: Taylor & Francis
• Seitenzahl: 448
• Erscheinungstermin: 2. Oktober 2007
• Englisch
• ISBN-13: 9781584888901
• Artikelnr.: 37959775

Autorenporträt

Schwarz, Fritz

Inhaltsangabe

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.