A Maple Package for Calculus of Variations based on Field Theory

Description

This contribution presents a computer algebra package for Lagrangian systems with p>=1 independent and q>=1 dependent variables. The Lagrangian may depend on the partial derivatives up to the order n>=0 of the dependent varibales with respect to the independent ones. In the case of one independent variable, p=1, the packages derives the equations of motion in form of a system of q ordinary differenital equations of order 2n, for p>1 the result is a system of q partial differential equation up to the order 2n.In addition the package determines all the required boundary conditions. Since the presented methods uses the concept of jet manifolds, a short introductuion to the notation of jet theory is provided. A simple example, the Timoshenko beam, demonstrates the main features of the presented computer algebra based appraoch.

Period	06 Feb 2003
Event title	4th IMACS Symposium on Mathematical Modelling, MCMDS 2003
Event type	Conference
Location	AustriaShow on map