Browsing Preprints aus dem Institut für Mathematik by Title
Now showing items 176195 of 327

20010707BuchNeronTate heights on algebraic curves and subgroups of the modular group We give an expression for the value of the NeronTate height pairing of two divisors on an algebraic curve which involves special values of certain Dirichlet series associated to finite index subgroups of the modular group.

19980212BuchNew embaddings for nonlinear multiobjective optimization problems I In a dialogue procedure the decision maker has to determine in each step the aspiration and reservation level expressing his wishes (goals). This leads to an optimization problem wich is not easy to solve in the nonconvex ...

20051104BuchNonlinear differentialalgebraic equations with properly formulated leading term Nonlinear differentialalgebraic equations with properly stated leading term of index one and two are characterized. Linearization and the solvability of perturbed problems are considered.

20060101BuchNonlinear Iterative OperatorSplitting Methods and Applications for Nonlinear Parabolic Partial Differential Equations In this paper we concentrate on nonlinear iterative operator splitting methods for nonlinear differential equations. The motivation arose from decoupling nonlinear operator equations in simpler operator equations. The ...

20031210BuchNumerical Analysis of DAEs from Coupled Circuit and Semiconductor Simulation In this work we are interested in the numerical solution of a coupled model of differential algebraic equations (DAEs) and partial differential equations (PDEs). The DAEs describe the behavior of an electrical circuit that ...

20051020BuchNumerical stability criteria for differentialalgebraic systems In 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 ...

20051104BuchNumerically well formulated index1 DAEs For index1 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 ...

20051104BuchNumerically well formulated index2 DAEs For linear index2 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 ...

20051109BuchOn a generic class of regular oneparametric variational inequalities In this paper the regularity of oneparametric opitmization problems in the sense of Jongen, Jonker and Twilt is extended to oneparametric variational inequalities. The five singularities are defined in this context and ...

20051017BuchOn a thermodynamically consistent modification of the BeckerDoering equations Recently, Dreyer and Duderstadt have proposed a modification of the BeckerDoering cluster equations which now have a nonconvex Lyapunov function. We start with existence and uniqueness results for the modified equations. ...

20040906BuchOn Artin's Lfuncions. II: Dirichlet Coefficients Let $K/\Q$ be a finite Galois extension, let $\chi$ be a character of the Galois group $G=\Gal(K/\Q)$ which does not contain the principal character, let $L_{ur}(s,\chi,K/\Q)$ be the unramified part of the corresponding ...

20051116BuchOn asymptotics in case of linear index2 differentialalgebraic equations Asymptotic properties of solutions of general linear differentialalgebraic equations (DAE's) and those of their numerical counterparts are discussed. New results on the asymptotic stability in the sense of Lyapunov as ...

19981103BuchOn Convolution Operators in the Spaces of Almost Periodic Functions and Lp Spaces We consider operators of convolution generated by $L^1$ functions in $L^p$ and various spaces of almost periodic functions. It turns out to be that if such an operator is invertible in one of these spaces, then it is ...

20051114BuchOn Differentiability of Metric Projections onto Moving Convex Sets We consider properties of the metric projections onto moving convex sets in normed linear spaces. Under certain conditions about the norm, directional differentiability (of higher order) of the metric projections at boundary ...

19990524BuchOn double oneparametric optimization problems and some applications This paper deals with a special class of quadratic optimization problems with quadratic constraints, which we call double parametric. We try to solve these problems using Pathfollowing Methods with a special case of the ...

20110811BuchOn Existence and Regularity of Solutions for a Stationary NavierStokes System Coupled to an Equation for the Turbulent Kinetic Energy We investigate a stationary model for turbulent flows, in which the NavierStokes system is coupled to an equation for the density of turbulent kinetic energy through a bounded coefficient of eddy viscosity. We prove the ...

20050101BuchOn Émery's inequality and a variationofconstants formula A generalization of Émery's inequality for stochastic integrals is shown for convolution integrals with respect to an arbitrary semimartingale. The inequality is used to prove existence and uniqueness of solutions of ...

19970912BuchOn generic quadratic penalty embeddings for nonlinear optimization problems The generic character of the regularity in the sense of Jongen, Jonker und Twilt is studied for a particular class of embeddings, wich represents a quadratic penalty procedure. In this paper we state a suitable perturbation ...

20110920BuchOn guaranteed parameter estimation of a multiparameter linear regression process

20051103BuchOn Halanaytype analysis of exponential stability for the thetaMaruyama method for stochastic delay differential equations Using an approach that has its origins in work of Halanay, we consider stability in mean square of numerical solutions obtained from the thetaMaruyama discretization of a test stochastic delay differential equation dX(t) ...