Kurt Schlacher, Andreas Kugi,
"Symbolic Methods for Systems of Implicit Ordinary Differential Equations"
, in Mechanics of Structures and Machines, Vol. 30, Nummer 3, Marcel Dekker, Seite(n) 411-429, 8-2002, ISSN: 0890-5452
Original Titel:
Symbolic Methods for Systems of Implicit Ordinary Differential Equations
Sprache des Titels:
Englisch
Original Kurzfassung:
This contribution deals with the equivalence problems for systems of implicit ordinary differential equations. Equivalence means that every solution of the original set of equations is a solution of some normal form, and vice versa. The system is identified with the submanifold in a suitable jet-space, defined by the equations. Therefore, a short introduction to jet-theory is presented, as well as its application to systems of differential equations. We present several results for well-determined and under-determined systems and give formulas that describe the transform to an appropriate normal form. Apart from the theoretical results, we give several sketches of computer algebra-based algorithms necessary to solve these problems efficiently.
Sprache der Kurzfassung:
Englisch
Journal:
Mechanics of Structures and Machines
Veröffentlicher:
Marcel Dekker
Volume:
30
Number:
3
Seitenreferenz:
411-429
Erscheinungsmonat:
8
Erscheinungsjahr:
2002
ISSN:
0890-5452
Anzahl der Seiten:
19
Notiz zur Publikation:
Schlacher K., Kugi A.: Symbolic Methods for Systems of Implicit Ordinary Differential Equations In: Mechanics of Structures and Machines, Vol. 30, No. 3, ISSN 0890-5452, pp. 411-429, 2002
Forschungs-