Browsing Institut für Mathematik by Title
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20051104BuchSolvability of linear differential algebraic equations with properly stated leading terms In 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 ...

20051103BuchSolvability of the 2 dimensional KP systems In this paper we define a series of modified Parshin's KPhierarchies for the case of the ring of pseudodifferential operators in 2 variables, which are parametrized by a real positive parameter. All these systems satisfy ...

20051020BuchSolvability Properties of Linear Elliptic Boundary Value Problems with Nonsmooth Data In this paper linear elliptic boundary value problems of second order with nonsmooth data (L∞coefficients, Lipschitz domain, mixed boundary conditions) are considered. It is shown that the weak solutions are Hölder ...

20051026BuchSolving the Unit Commitment Problem in Power Generation by Primal and Dual Methods The unit commitment problem in power plant operation planning is addressed. For a real power system comprising coal and gasfired thermal and pumpedstorage hydroplants a largescale mixed integer optimization model for ...

20040119BuchSome Computational Aspects of Jacobians of Curves in the Family y3 = gamma x5 + delta Over Fp In this paper, we study the Jacobian varieties of certain diagonal curves of genus four : we first give the structure of the Jacobian, showing that it is simple over the prime field in most cases, then we give a reduction ...

19980903BuchSome Heuristics and Test Problems for Nonconvex Quadratic Programming over a Simplex In this paper we compare two methods for estimating a global minimizer of an indefinite quadratic form over a simplex. The first method is based on the enumeration of local minimizers of a socalled control polytope. The ...

20110811BuchSpace adaptive Finite Element Methods for Dynamic Signorini Problems Space adaptive techniques for dynamic Signorini problems are discussed. For discretisation, the Newmark method in time and low order finite elements in space are used. For the global discretisation error in space, an a ...

20110927BuchSplitting Method of ConvectionDiffusion Methods with Disentanglement methods In this paper, we discuss higherorder operatorsplitting methods done by disentanglement methods. The idea is based on computing best fitted exponents to an exponential splitting scheme with more than two operators. We ...

20051102BuchStability of multistage stochastic programs Quantitative stability of linear multistage stochastic programs is studied. It is shown that the infima of such programs behave (locally) Lipschitz continuous with respect to the sum of an Lrdistance and of a distance ...

20051115BuchStability of periodic solutions of index2 differential algebraic systems This 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 ...

20090702BuchStatistical inference for discretetime samples from affine stochastic delay differential equations Statistical inference for discrete time observations of an affine stochastic delay differential equation is considered. The main focus is on maximum pseudolikelihood estimators, which are easy to calculate in practice. ...

20051103BuchStepsize control for meansquare numerical methods for stochastic differential equations with small noise A strategy for controlling the stepsize in the numerical integration of stochastic differential equations (SDEs) is presented. It is based on estimating the pth mean of local errors. The strategy leads to deterministic ...

20051103BuchStochastic DAEs in Circuit Simulation Stochastic differentialalgebraic equations (SDAEs) arise as a mathematical model for electrical network equations that are influenced by additional sources of Gaussian white noise. We sketch the underlying analytical ...

20051104BuchStochastic Differential Algebraic Equations of index 1 and Applications in Circuit Simulation Diese Arbeit widmet sich der Untersuchung von AlgebroDifferentialgleichungen mit Index 3. Im ersten Kapitel werden grundlegende Begriffe und die Definition der DAE mit Index3 eingefürt. Dabei wird eine spezielle Kette von ...

20051115BuchStochastic Lagrangian Relaxation applied to Power Scheduling in a HydroThermal System under Uncertainty A dynamic (multistage) stochastic programming model for the weekly costoptimal generation of electric power in a hydrothermal generation system under uncertain load is developed. The model involves a large number of ...

20051103BuchStochastic unit commitment in hydrothermal power production planning We present a mixedinteger multistage stochastic programming model for the short term unit commitment of a hydrothermal power system under uncertainty in load, inflow to reservoirs, and prices for fuel and delivery ...

20031010BuchStrong Lipschitz Stability of Stationary Solutions for Nonlinear Programs and NonPolyhedral Variational Inequalities under MFCQ The stationary solution map $X$ of a canonically perturbed nonlinear program or variational condition is studied. The focus is on characterizations for $X$ to be locally singlevalued and Lipschitz near some stationary ...

20051115BuchStructural analysis for electric circuits and consequences for MNA The development of integrated circuits requires powerful numerical simulation programs. Of course, there is no method that treats all the different kinds of circuits successfully. The numerical simulation tools provide ...

20051102BuchStructural stability of vector optimization problems We study global stability properties for vector optimization problems of the type: \begin{align} \tag*{$\mathcal{VOP}(f,H,G)$:} \min\left\{f(x)=\left(f_1(x),\dots,f_l(x)\right) \mid x\in M[H,G]\right\}, \end{align} where ...

20110927BuchSuperspace calculation of the fourloop spectrum in N=6 supersymmetricChernSimons theory