Browsing Preprints aus dem Institut für Mathematik by Title
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19990701BuchPade's Approximation of Sampled Data Controllers In this work we consider a sampled data control system consisting of a continuous time plant and a controller, which is designed as: A uniform sampler plus a discrete time controller plus a zero order hold synchronizer. ...

20051021BuchParametric Linear Complementarity Problems We study linear complementarity problems depending on parameters in the righthand side and (or) in the matrix. For the case that all elements of the righthand side are independent parameters we give a new proof for the ...

20051103BuchPDAE models of integrated circuits and perturbation analysis A model for a linear electric circuit containing semiconductors is presented. The modified nodal analysis leads to a differential algebraic equation (DAE) describing the electric network. The nonlinear behaviour of the ...

20051104BuchPDAEs and Further Mixed Systems as Abstract Differential Algebraic Systems 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 ...

19981130BuchPeriodic and Solitary Traveling Wave Solutions for the Generalized KadomtsevPetviashvili Equation, II As a continuation of our previous work, we improve here some results on convergence of periodic KP traveling waves to solitary ones as period goes to infinity. In addition, we present some qualitative properties of such ...

19980817BuchPicardEinstein Metrics and Class Fields Connected with Apollonius Cycle We define Picard_Einstein metrics on complex algebraic surfaces as KählerEinstein metrics with negative constant sectional curvature pushed down from the unit ball via Picard modular groups allowing degenerations along ...

19991210BuchPicardEinstein Metrics and Class Fields Connected with Apollonius Cycle We define PicardEinstein metrics on complex algebraic surfaces as KählerEinstein metrics with negative constant sectional curvature pushed down from the unit ball via Picard modular groups allowing degenerations along ...

19960321BuchPolar Varieties and Efficient Real Equation Solving The Hypersurface CaseThe objective of this paper is to show how the recently proposed method by Giusti, Heintz, Morais, Morgenstern, Pardo can be applied to a case of real polynomial equation solving. Our main result concerns the problem of ...

19970228BuchPolar Varieties, Real Equation Solving and DataStructures The Hypersurface CaseIn this paper we apply for the first time a new method for multivariate equation solving which was developed in for complex root determination to the real case. Our main result concerns the problem of finding at least one ...

20051102BuchPolyhedral Risk Measures in Stochastic Programming Stochastic programs that do not only minimize expected cost but also take into account risk are of great interest in many application fields. We consider stochastic programs with risk measures in the objective and study ...

20110927BuchPorous Media Based Modeling of parallel Plate PECVD Apparatus Approximation to the Experiments with SiC and TiCThe numerous technical applications in deposit metal plates with new materials like SiC and TiC has an advantage to overcome the leaking corrosive behavior and have additional a good electrical behavior. Here we present ...

20051116BuchPower Management in a HydroThermal System under Uncertainty by Lagrangian Relaxation We present a dynamic multistage stochastic programming model for the costoptimal generation of electric power in a hydrothermal system under uncertainty in load, inflow to reservoirs and prices for fuel and delivery ...

20051115BuchPower Scheduling in a HydroThermal System under Uncertainty A multistage stochastic programming model for power scheduling under uncertainty in a generation system comprising thermal and pumpedstorage hydro units is developed. For its computational solution two different decomposition ...

20051115BuchPrimal and Dual Methods for Unit Commitment in a HydroThermal Power System The unit commitment problem in a power generation system comprising thermal and pumpedstorage hydro units is adressed. A largescale mixedinteger optimization model for unit commitment in a real power system is developed ...

20051103BuchProjectors for matrix pencils In this paper, basic properties of projector sequences for matrix pairs which can be used for analyzing differential algebraic systems are collected.

19961213BuchProperties of an interior embedding for solving nonlinear optimization problems The paper presents a sufficient condition for the success of path, following algorithms with jumps when applied to oneparametric optimization problems. An interior embedding that always fulfils the mentioned sufficient ...

20051111BuchQantitative stability for scenariobased stochastic programs General quantitative stability results for stochastic programs are formulated in terms of probability metrics, specified to scenariobased stochastic programs and applied to a bond portfolio managemant problem.

20051107BuchQuadricLine Configurations Degenerating Plane Picard Einstein Metrics III We define PicardEinstein metrics on complex algebraic surfaces as KählerEinstein metrics with negative constant sectional curvature pushed down from the complex unit ball allowing degenerations along cycles. We ...

20051102BuchQualitative behavior of weak solutions of the drift diffusion model for semiconductor devices coupled with Maxwell’s equations The transient driftdiffusion model describing the charge transport in semiconductors is considered. Poisson's equation, which is usually used, is replaced by Maxwell's equations. The diffusion and mobilitycoefficients ...

20051107BuchQuantitative stability in stochastic programming: The method of probability metrics Quantitative stability of optimal values and solution sets to stochastic programming problems is studied when the underlying probability distribution varies in some metric space of probability measures. We give conditions ...