Browsing by Author "Lamour, René"

Now showing items 1-10 of 10

2011-09-27Buch

A new algorithm for the index determination in DAEs by Taylor series using Algorithmic Differentiation

Lamour, René; Monett-Diaz, Dagmar

We present an approach for determining the tractability index using truncated polynomial arithmetic. In particular, computing the index this way generates a sequence of matrices that contains itself derivatives. We realize ...
2009-07-02Buch

A Projector Based Representation of the Strangeness Index Concept

Lamour, René

The strangeness index concept is generalized and represented by a matrix chain similar to the structure of the tractability index. The properties of the related projectors are proven. A decoupling of the DAE and a ...
2005-10-21Buch

A Shooting Method for Fully Implicit Index-2 Differential-Algebraic Equations

Lamour, René

A shooting method for two-point-boundary value problems for fully implicit index-1 and -2 differential-algebraic equations is presented. A combination of the shooting equations with a method of the calculation of consistent ...
2005-10-26Buch

How Floquet-theory applies to differential-algebraic equations

Lamour, René; März, Roswitha; Winkler, Renate

Local stability of periodic solutions is established by means of a corresponding Floquet-theory for index-1 differential-algebraic equations. For this, linear differential-algebraic equations with periodic coefficients are ...
2005-11-07Buch

Index determination of DAEs

Lamour, René

The index definition of DAEs with properly stated leading term bases on a matrix sequence with suitably chosen projectors. A way of realization of this matrix sequence is presented, it includes the calculation of suitable ...
2005-11-04Buch

PDAEs and Further Mixed Systems as Abstract Differential Algebraic Systems

Lamour, René; März, Roswitha; Tischendorf, Caren

Abstract differential algebraic systems (ADASs), i.e., differential algebraic systems with operators acting in real Hilbert spaces are introduced for a systematical treatment of coupled systems of PDEs, DAEs and integral ...
2021-01-29Zeitschriftenartikel

Projected explicit and implicit Taylor series methods for DAEs

Estévez Schwarz, Diana; Lamour, René

The recently developed new algorithm for computing consistent initial values and Taylor coefficients for DAEs using projector-based constrained optimization opens new possibilities to apply Taylor series integration methods. ...
2005-11-15Buch

Stability of periodic solutions of index-2 differential algebraic systems

Lamour, René; März, Roswitha; Winkler, Renate

This paper deals with periodic index-2 differential algebraic equations and the question whether a periodic solution is stable in the sense of Lyapunov. As the main result, a stability criterion is proved.This criterion ...
2005-11-16Buch

The Computation of Consistent Initial Values for Nonlinear Index-2 Differential-Algebraic Equations

Schwarz, Diana Estévez; Lamour, René

The computation of consistent initial values for differential-algebraic equations (DAEs) is essential for staring a numerical integration. Based on the tractability index concept a method is proposed to filter those ...
2006-01-01Buch

The properties of differential-algebraic equations representing optimal control problems

England, Roland; Gómez, Susana; Lamour, René

This paper outlines a procedure for transforming a general optimal control problem to a system of Differential-Algebraic Equations (DAEs). The Kuhn-Tucker conditions consist of differential equations, complementarity ...