Helmut Ennsbrunner, Kurt Schlacher,
"A Maple Package for the Calculus of Variations based on Jet Manifolds"
, in Mathematical and Computer Modelling of Dynamical Systems (MCMDS), Vol. 11, Nummer 5, Taylor and Francis, Seite(n) 61-77, 3-2005, ISSN: 1387-3954
Original Titel:
A Maple Package for the Calculus of Variations based on Jet Manifolds
Sprache des Titels:
Englisch
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 variables with respect to the independent ones. In the case of one independent variable, p=1, the package derives the equations of motion in the form of a system of q ordinary differential 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 in the case of p<3 and n<2. Since the presented method uses the concept of jet manifolds, a short introduction to the notation of jet theory is provided. Two examples - the Timoshenko beam and the Kirchhoff plate - demonstrate the main features of the presented computer algebra based approach.
Sprache der Kurzfassung:
Englisch
Journal:
Mathematical and Computer Modelling of Dynamical Systems (MCMDS)
Veröffentlicher:
Taylor and Francis
Volume:
11
Number:
5
Seitenreferenz:
61-77
Erscheinungsmonat:
3
Erscheinungsjahr:
2005
ISSN:
1387-3954
Anzahl der Seiten:
17
Notiz zur Publikation:
Ennsbrunner H., Schlacher K.: A Maple Package for the Calculus of Variations based on Jet Manifolds In: Mathematical and Computer Modelling of Dynamical Systems (MCMDS), Vol. 11, No. 5, ISSN: 1387-3954, pp. 61-77, 2005
Forschungs-