Browsing Institut für Mathematik by Title
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20051115BuchAsymptotic behaviour of solutions of semilinear hyperbolic systems in arbitrary domains In this paper the long time asymptotic behaviour of solutions to semilnear first order hyperbolic systems including Maxwell's equations and the scalar waveequation in an arbitrary spatial domain is investigated. Weak ...

20051103BuchAsymptotic meansquare stability of twostep methods for stochastic ordinary differential equations We deal with linear multistep methods for SDEs and study when the numerical appro\xi\mation shares asymptotic properties in the meansquare sense of the exact solution. As in deterministic numerical analysis we use a ...

20110811BuchAsymptotic Properties of Fractional Delay Differential Equations In this paper we study the asymptotic properties of ddimensional linear fractional differential equations with time delay. First results on existence and uniqueness of solutions are presented. Then we propose necessary ...

20051020BuchAsymptotic properties of regularized differentialalgebraic equations

20110927BuchBaxter QOperators and Representations of Yangians We develop a new approach to Baxter Qoperators by relating them to the theory of Yangians, which are the simplest examples for quantum groups. Here we open up a new chapter in this theory and study certain degenerate ...

20060101BuchBilateral Gamma Distributions and Processes in Financial Mathematics We present a class of Lévy processes for modelling financial market fluctuations: Bilateral Gamma processes. Our starting point is to explore the properties of bilateral Gamma distributions, and then we turn to their ...

20110811BuchBoundary Layer Solutions to Problems with Infinite Dimensional Singular and Regular Perturbations We prove existence, local uniqueness and asymptotic estimates for boundary layer solutions to singularly perturbed equations of the type $(\varepsilon(x)^2 u'(x))'=f(x,u(x))+ g(x,u(x),\varepsilon(x) u'(x)), 0< x

20110811BuchBoundary Layer Solutions to Singularly Perturbed Problems via the Implicit Function Theorem We prove existence, local uniqueness and asymptotic estimates for boundary layer solutions to singularly perturbed problems of the type $\varepsilon^2 u''=f(x,u,\varepsilon u',\varepsilon), 0< x

20040503BuchCharacterization and Computation of a "Good Control" Models for physical systems often take the form of implicit or behavioral models. One important problem is the identification of which combinations of variables are good candidtates for control variables. This paper first ...

20061101BuchCharacterization of Calmness for Banach space mappings We characterize calmness of multifunctions explicitly by calmness of level sets to globally Lipschitz functions, by convergence of specific solution methods for the related inclusions as well as by solvability of crucial ...

20051026BuchCharacterization of stability for cone increasing constraint mappings We investigate stability (in terms of metric regularity) for the specific class of cone increasing constraint mappings. This class is of interest in problems with additional knowledge on some nondecreasing behavior of the ...

20051104BuchCharacterizing differential algebraic equations without the use of derivative arrays For a large class of differential algebraic equations with properly stated leading terms and nonsmooth data, an index characterization in terms of the original coefficients and their only first partial derivatives is given. ...

20110920BuchComputation of Iterative operatorsplitting methods In this paper we describe a computation of iterative operatorsplitting method, which are known as competitive splitting methods. We derived a closed form, based on commutators for the iterative method. The schemes apply ...

20000704BuchComputing Green Currents via the Heat Kernel Let X be a compact Kähler manifold. We show that there exists a unique Green current gY for any cycle Y in X. We show that the current gY is a form with L1coefficients. The heat kernel applied to the Dirac distribution ...

20110811BuchConsistency of Iterative OperatorSplitting Methods In this paper we describe a different operatorsplitting method for decoupling complex equations with multidimensional and multiphysical processes for applications for porous media and phasetransitions. We introduce ...

20051109BuchConsistent initial values for DAE systems in circuit simulation One of the difficulties of the numerical integration methods for differentialalgebraic equations (DAEs) is computing consistent initial values before starting the integration, i.e. calculating values that satisfy the given ...

20060101BuchConvergence of adaptive FEM for a class of degenerate convex minimization problems A class of degenerate convex minimization problems allows for some adaptive finite element method (AFEM) to compute strongly converging stress approximations. The algorithm AFEM consists of successive loops of the form ...

20110920BuchCoupled Navier StokesMolecular Dynamics Simulation using Iterative OperatorSplitting Methods In this paper, we contribute a multiscale method based on an iterative operator splitting method, which takes into account the disparity of the macro and microscopic scales. We couple Navier Stokes and Molecular Dynamics ...

20051117BuchCriteria for the trivial solution of differential algebraic equations with small nonlinearities to be asymptotically stable Differential algebraic equations consisting of a constant coefficient linear part and a small nonlinearity are considered. Conditions that enable linearizations to work well are discussed. In particular, for index2 ...

19970127BuchCurves in P3 with good restriction of the tangent bundle Restriction of a stable vector bundle on a variety to a subvariety does not always preserves stability. Here we consider this situation for the P3 the tangent bundle E of the projective space and its restriction to space ...