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Auflistung nach Autor "März, Roswitha"
Anzeige der Publikationen 21-40 von 41
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2005-11-03BuchLinear index-1 DAEs: regular and singular problems Riaza, Ricardo; März, RoswithaSeveral features and interrelations of projector methods and reduction techniques for the analysis of linear time-varying differential-algebraic equations (DAEs) are addressed in this work. The application of both methodologies ...
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2005-11-02BuchManaging the drift-off in numerical index-2 differential algebraic equations by projected defect corrections März, RoswithaWhen integrating index-2 differential-algebraic equations, the given constraint may be failed to be met due to the integration method itself and also due to numerical defects in the realization. This so-called drift-off ...
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2005-11-04BuchNonlinear differential-algebraic equations with properly formulated leading term März, RoswithaNonlinear differential-algebraic equations with properly stated leading term of index one and two are characterized. Linearization and the solvability of perturbed problems are considered.
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2005-10-20BuchNumerical stability criteria for differential-algebraic systems März, RoswithaIn this paper we transfer classical results concerning Lyapunov stability of stationary solutions x* to the classes of DAEs being most interesting for circuit simulation, thereby keeping smoothness as low as possible. We ...
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2005-11-04BuchNumerically well formulated index-1 DAEs Higueras, Inmaculada; März, Roswitha; Tischendorf, CarenFor index-1 DAEs with properly stated leading term, we characterize dissipative and contractive flows and study how the qualitative properties of the DAE solutions are reflected by numerical approximations. The best situation ...
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2005-11-04BuchNumerically well formulated index-2 DAEs Higueras, Inmaculada; März, Roswitha; Tischendorf, CarenFor linear index-2 DAEs with properly stated leading term we characterize contractive and dissipative flows. We study under which conditions the qualitative properties of the DAE solutions are reflected by the numerical ...
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2005-11-16BuchOn asymptotics in case of linear index-2 differential-algebraic equations Hanke, Michael; Macana, Ebroul Izquierdo; März, RoswithaAsymptotic properties of solutions of general linear differential-algebraic equations (DAE's) and those of their numerical counterparts are discussed. New results on the asymptotic stability in the sense of Lyapunov as ...
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2005-10-21BuchOn linear differential-algebraic equations and linearizations März, RoswithaOn the background of a careful analysis of linear DAEs, linearizations of nonlinear index-2 systems are considered. Finding appropriate function spaces and their topologies allows to apply the standard Implicit Function ...
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2005-11-03BuchOn linear differential-algebraic equations with properly stated leading term März, Roswitha; Riaza, RicardoWe consider in this work linear, time-varying differential-algebraic equations (DAEs) of the form A(t)(D(t)x(t))'+B(t)x(t)=q(t) through a projector approach. Our analysis applies in particular to linear DAEs in standard ...
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2005-11-03BuchOn linear differential-algebraic equations with properly stated leading term März, Roswitha; Riaza, RicardoThis paper addresses critical points of linear differential-algebraic equations (DAEs) of the form A(t)(D(t)x(t))' + B(t)x(t) = q(t) within a projector-based framework. We present a taxonomy of critical points which reflects ...
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2005-11-07BuchOn linear-quadratic optimal control problems for time-varying descriptor systems Kurina, Galina A.; März, RoswithaThe solvability of a linear-quadratic optimal control problem in a Hilbert space for time-varying descriptor systems is established under some conditions. Unlike previous works of other authors that are devoted to ...
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2005-11-04BuchPDAEs 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 ...
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1992-01-01BuchPreface Griepentrog, Eberhard; Hanke, Michael; März, Roswitha
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2005-11-03BuchProjectors for matrix pencils März, RoswithaIn this paper, basic properties of projector sequences for matrix pairs which can be used for analyzing differential algebraic systems are collected.
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2005-10-21BuchRecent results in solving index 2 differential-algebraic equations in circuit simulation März, Roswitha; Tischendorf, CarenIn electric circuit simulation the charge oriented modified nodal analysis may lead to highly nonlinear DAEs with low smoothness properties. They may have index 2 but they do not belong to the class of Hessenberg form ...
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2005-11-04BuchSingularities of linear time-varying DAEs Riaza, Ricardo; März, RoswithaSingular issues arising in linear time-varying differential-algebraic equations are addressed in this paper. We review the use of projector methods based upon the tractability index concept for the analysis of regular ...
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2005-11-04BuchSolvability of linear differential algebraic equations with properly stated leading terms März, RoswithaIn this paper, general solvability statements on linear continuous coefficient differential algebraic equations with properly stated leading terms are derived by means of decoupling projector functions decomposing the ...
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2005-11-15BuchStability of periodic solutions of index-2 differential algebraic systems Lamour, René; März, Roswitha; Winkler, RenateThis 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 ...
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2005-11-04BuchThe index of linear differential algebraic equations with properly stated leading terms März, RoswithaIn a linear differential algebraic equation with properly stated leading term, the involved derivatives of the unknown function are figured out by an additional matrix coefficient being in some sense well matched with the ...
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1992-01-01BuchToward a better understanding of differential algebraic equations (Introductory survey) Griepentrog, Eberhard; Hanke, Michael; März, Roswitha