Helmut Ennsbrunner, Kurt Schlacher, Kurt Zehetleitner,
"A Maple Package for Calculus of Variations based on Field Theory"
, in Troch I., Breitenecker F.: Proceedings 4th IMACS Symposium on Mathematical Modelling, MCMDS 2003, February 5-7 2003, Vienna, A, Serie ARGESIM Report, Vol. 1, Seite(n) 898-907, 2003, ISBN: 3-901608-24-9
Original Titel:
A Maple Package for Calculus of Variations based on Field Theory
Sprache des Titels:
Englisch
Original Buchtitel:
Proceedings 4th IMACS Symposium on Mathematical Modelling, MCMDS 2003, February 5-7 2003, Vienna, A
Original Kurzfassung:
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.
Sprache der Kurzfassung:
Englisch
Serie:
ARGESIM Report
Volume:
1
Seitenreferenz:
898-907
Erscheinungsjahr:
2003
ISBN:
3-901608-24-9
Anzahl der Seiten:
10
Notiz zur Publikation:
Ennsbrunner H., Schlacher K., Zehetleitner K.: A Maple Package for Calculus of Variations based on Field Theory, In: Proceedings 4th IMACS Symposium on Mathematical Modelling, MCMDS 2003, February 5-7 2003, Vienna, Austria, ISBN: 3-901608-24-9, Vol. 2, pp. 898-907, 2003.
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