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Browsing Schriftenreihen und Sammelbände by Author "Lamour, René"
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20110927BuchA new algorithm for the index determination in DAEs by Taylor series using Algorithmic Differentiation Lamour, René; MonettDiaz, DagmarWe 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 ...

20090702BuchA Projector Based Representation of the Strangeness Index Concept Lamour, RenéThe 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 ...

20051021BuchA Shooting Method for Fully Implicit Index2 DifferentialAlgebraic Equations Lamour, RenéA shooting method for twopointboundary value problems for fully implicit index1 and 2 differentialalgebraic equations is presented. A combination of the shooting equations with a method of the calculation of consistent ...

20051026BuchHow Floquettheory applies to differentialalgebraic equations Lamour, René; März, Roswitha; Winkler, RenateLocal stability of periodic solutions is established by means of a corresponding Floquettheory for index1 differentialalgebraic equations. For this, linear differentialalgebraic equations with periodic coefficients are ...

20051107BuchIndex determination of DAEs Lamour, RenéThe 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 ...

20051104BuchPDAEs and Further Mixed Systems as Abstract Differential Algebraic Systems Lamour, René; März, Roswitha; Tischendorf, CarenAbstract 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 ...

20051115BuchStability of periodic solutions of index2 differential algebraic systems Lamour, René; März, Roswitha; Winkler, RenateThis paper deals with periodic index2 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 ...

20051116BuchThe Computation of Consistent Initial Values for Nonlinear Index2 DifferentialAlgebraic Equations Schwarz, Diana Estévez; Lamour, RenéThe computation of consistent initial values for differentialalgebraic equations (DAEs) is essential for staring a numerical integration. Based on the tractability index concept a method is proposed to filter those ...

20060101BuchThe properties of differentialalgebraic equations representing optimal control problems England, Roland; Gómez, Susana; Lamour, RenéThis paper outlines a procedure for transforming a general optimal control problem to a system of DifferentialAlgebraic Equations (DAEs). The KuhnTucker conditions consist of differential equations, complementarity ...