Browsing Institut für Mathematik by Title
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20051104BuchOn optimality conditions for some nonsmooth optimization problems over Lp spaces The paper deals with the minimization of an integral functional over an $L^{p}$ space subject to various types of constraints. For such optimization problems new necessary optimality conditions are derived, based on several ...

20060802BuchOn parameter estimation of stochastic delay differential equations with guaranteed accuracy by noisy observations Let (X(t), t ≥ −1) and (Y (t), t ≥ 0) be stochastic processes satisfying dX(t) = aX(t)dt + bX(t − 1)dt + dW(t) and dY (t) = X(t)dt + dV (t), respectively. Here (W(t), t ≥ 0) and (V (t), t ≥ 0) are independent standard ...

20051104BuchOn some questions related to the Krichever correspondence The article is devoted to some questions of Krichever correspondence for algebraic curves and surfaces. We construct new examples of subspaces of 2dimensional local field from Krichever correspondence for algebraic surface, ...

20051115BuchOn Stochastic Integer Programming under Probabilistic Constraints We consider stochastic programming problems with probabilistic constraints involving integervalued random variables. The concept of pefficient points of a probability distribution is used to derive various equivalent ...

20051116BuchOn the average behaviour of greedy algorithms for the knapsack problem We study the average behaviour of the wellknown greedy algorithms for the onedimensional knapsack problem with Boolean variables when the number of variables n tends to infinity. It is supposed that the righthand side ...

20110927BuchOn the construction of a class of DulacCherkas functions for generalized Liénard systems

20051111BuchOn the criterion of asymptotical stability for index1 tractable DAEs This paper considers the index1 tractable differentialalgebraic equation. The Lyapunov stability of the trivial solution is discussed. As a criterion of the asymptotical stability we propose a numerical parameter æ(A,B) ...

20051116BuchOn the EPICompactness of EquiLower SemiContinuous Functions In this paper we show that equilsc. functions from a topological vector space X to the extended reals are epicompact without assuming the local compactness or the second countablity of the underlying space X. We also ...

20110927BuchOn the existence of weak solutions to a coupled system of two turbulent flows

20110920BuchOn the geometry of polar varieties

20110920BuchOn the intrinsic complexity of point finding in real singular hypersurfaces In previous work we designed an efficient procedure that finds an algebraic sample point for each connected component of a smooth real complete intersection variety. This procedure exploits geometric properties of generic ...

20051020BuchOn the Jacobian Varieties of Picard curves In this paper a system of coordinates for the effective divisors on the Jacobian Variety of a Picard curve is presented. These coordinates possess a nice geometric interpretation and provide us with an unifying environment ...

20030117BuchOn the LFunction of Some Kummer Curves with Complex Multiplication Let l be a prime number. For $n \ge 1$ the Lfunction of the Kummer Curve $C_n :y^l = x(x^{l^n}  1)$ over the cyclotomic field $\Bbb{Q} (\zeta_{l^{n+1}}, \zeta_{l^{n+1}} := {\rm exp} \frac{2\pi i}{l^{n+1}}$, is a product ...

20051026BuchOn the Role of the MangasarianFromovitz Constraint Qualification for Penalty, Exact Penalty and Lagrange Multiplier Methods In this paper we consider three embeddings (oneparametric optimization problems) motivated by penalty, exact penalty and Lagrange multiplier methods. We give an answer to the question under which conditions these methods ...

20051102BuchOn the stability of the Abramov transfer for differentialalgebraic equations of index 1 The transfer of boundary conditions for ordinary differential equations developed by Abramov is a stable method for representing the solution spaces of linear boundary value problems. Instead of boundary value problems, ...

20051020BuchOn the stability of the Abramovtransfer for DAEs of index 1 Abramov’s transfer method for ordinary differential equations (ODE) transfers linear boundary value problems into initial value problems and systems of linear algebraic equations that have to be solved. K. Balla and R. ...

20051103BuchOneStep Approximations For Stochastic Functional Differential Equations We consider the problem of strong approximations of the solution of It\^{o} stochastic functional differential equations (SFDEs). We develop a general framework for the convergence of driftimplicit onestep schemes to the ...

20110713BuchOperatorsplitting methods for wave equations The motivation for our studies is coming from the simulation of earthquakes, that are modeled by elastic wave equations. In our paper we focus on stiff phanomenons for the wave equations. In the course of this article we ...

20110811BuchOperatorsplitting methods respecting Eigenvalue problems for convectiondiffusion and wave equations We discuss iterative operator splitting method for waveequations motivated from the eigenvalueproblem to decide the splitting process. The operatorsplitting methods are welknow to solve such complicated multidimensional ...

20110811BuchOperatorSplitting Methods Respecting Eigenvalue Problems for Nonlinear Equations and Applications for Burgers Equations In this article we consider iterative operatorsplitting methods for nonlinear differential equations with respect to their eigenvalues. The main feature of the proposed idea is the fixedpoint iterative scheme that ...