1st Edition

Algorithmic Lie Theory for Solving Ordinary Differential Equations

By Fritz Schwarz Copyright 2008
448 Pages
by Chapman & Hall

448 Pages
by Chapman & Hall

448 Pages
by Chapman & Hall

Despite the fact that Sophus Lie's theory was virtually the only systematic method for solving nonlinear ordinary differential equations (ODEs), it was rarely used for practical problems because of the massive amount of calculations involved. But with the advent of computer algebra programs, it became possible to apply Lie theory to concrete problems. Taking this approach, Algorithmic Lie Theory... Read more
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.

Biography

Schwarz, Fritz