Algorithmic Lie Theory for Solving Ordinary Differential Equations

ISBN-13: 9781584888895 / Angielski / Twarda / 2007 / 448 str.

Fritz Schwarz

Opis

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.

Spis treści

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.

O autorze

Schwarz, Fritz