Browsing Institut für Mathematik by Title
Now showing items 176-195 of 329
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2001-07-07BuchNeron-Tate heights on algebraic curves and subgroups of the modular group We give an expression for the value of the Neron-Tate 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.
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1998-02-12BuchNew 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 ...
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2005-11-04BuchNonlinear differential-algebraic equations with properly formulated leading term Nonlinear 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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2006-01-01BuchNonlinear Iterative Operator-Splitting 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 ...
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2003-12-10BuchNumerical 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 ...
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2005-10-20BuchNumerical stability criteria for differential-algebraic 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 ...
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2005-11-04BuchNumerically well formulated index-1 DAEs For 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 For 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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2005-11-09BuchOn a generic class of regular one-parametric variational inequalities In this paper the regularity of one-parametric opitmization problems in the sense of Jongen, Jonker and Twilt is extended to one-parametric variational inequalities. The five singularities are defined in this context and ...
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2005-10-17BuchOn a thermodynamically consistent modification of the Becker-Doering equations Recently, Dreyer and Duderstadt have proposed a modification of the Becker--Doering cluster equations which now have a nonconvex Lyapunov function. We start with existence and uniqueness results for the modified equations. ...
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2004-09-06BuchOn Artin's L-funcions. 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 ...
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2005-11-16BuchOn asymptotics in case of linear index-2 differential-algebraic equations Asymptotic 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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1998-11-03BuchOn 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 ...
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2005-11-14BuchOn 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 ...
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1999-05-24BuchOn double one-parametric 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 ...
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2011-08-11BuchOn Existence and Regularity of Solutions for a Stationary Navier-Stokes System Coupled to an Equation for the Turbulent Kinetic Energy We investigate a stationary model for turbulent flows, in which the Navier-Stokes system is coupled to an equation for the density of turbulent kinetic energy through a bounded coefficient of eddy viscosity. We prove the ...
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2005-01-01BuchOn Émery's inequality and a variation-of-constants 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 ...
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1997-09-12BuchOn 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 ...
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2011-09-20BuchOn guaranteed parameter estimation of a multiparameter linear regression process
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2005-11-03BuchOn Halanay-type analysis of exponential stability for the theta-Maruyama 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 theta-Maruyama discretization of a test stochastic delay differential equation dX(t) ...
