Browsing Institut für Mathematik by Title
Now showing items 31-50 of 329
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2005-11-17BuchA Vanishing Result for the Universal Bundle on a Toric Quiver Variety Let $Q$ be a finite quiver without oriented cycles. Denote by $\UB \ra \cwtM$ the fine moduli space of stable thin sincere representations of $Q$ with respect to the canonical stability notion. We prove $\mExt^l_{\cwtM}(\UB,\UB) ...
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2001-10-05BuchAbelian approach to modular forms of neat 2-ball lattices Dimension formulasIn previous papers [HoEis], [Ho2000] we found neat Picard modular surfaces with abelian minimal model and, conversely, a divisor criterion on abelian surfaces A for such a situation. For the corresponding ball lattices ...
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2011-08-11BuchAdaptive Step-size Control in Simulation of diffusive CVD Processes In this paper, we present control strategies of a diffusion process for chemical vapor deposition for metallic bipolar plates. In the models, we discuss the application of different models to simulate the plasma-transport ...
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2006-01-01BuchAdditive Schwarz Domain-Decomposition method with embedded small scales for Diffusion Equation We present a convergence and error bound study for domain-decomposition methods with very small domains. The idea is to apply very fast solver methods for strips with $h
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2005-11-02BuchAlgebro-Differentialgleichungen mit properem Hauptterm und Traktabilitätsindex 1. Algebro-Differntialgleichungen mit properem Hauptterm 2. Traktabilitätsindex 3. Linear-quadratische Optimalsteuerung
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2011-09-27BuchAlgorithms of intrinsic complexity for point searching in real singular hypersurfaces
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2005-11-03BuchAn explicit matching theorem for level zero discrete series of unit groups of p-adic simple algebras For $A|F$ a central simple algebra over a ${\frak p}$-adic local field the group of units $A^\times\cong GL_m(D_d)$ is a general linear group over a central division algebra $D_d|F$ of index $d.$ The product $n=dm$ being ...
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2005-11-03BuchAn Index Analysis from Coupled Circuit and Device Simulation Nowadays the semiconductor devices in an electrical circuit are modelled by equivalent circuits containing basic network elements described by algebraic and ordinary differential equations. But the correct adjustment of ...
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2005-11-07BuchAn unified approach to linear differential algebraic equations and their adjoint equations Instead of a single matrix occuring in the standard setting the leading term of the linear differential equation is composed of a pair of well matched matrices. This problem formulation enables an unified treatment of the ...
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2005-11-09BuchAnalyzing the stability behaviour of DAE solutions and their approximations New stability results are proved for linear index-2 differential algebraic equations (DAE). They are obtained by means of an improved projector decoupling. On the background of logarithmic norms related to invariant ...
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2005-11-03BuchApplications of Differential Calculus to Nonlinear Elliptic Boundary Value Problems with Discontinuous Coefficients We deal with Dirichlet's problem for second order quasilinear non-divergence form elliptic equations with discontinuous coefficients. First we state suitable structure, growth, and regularity conditions ensuring solvability ...
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2005-11-14BuchApproximations, Expansions and Univalued Representations of Multifunctions We consider multifunctions acting between two linear normed spaces and having closed convex images. Approximations are considered which serve as an expansion of it. Generalized delta theorems for random sets in infinite ...
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2005-11-15BuchAsymptotic 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 wave-equation in an arbitrary spatial domain is investigated. Weak ...
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2005-11-03BuchAsymptotic mean-square stability of two-step methods for stochastic ordinary differential equations We deal with linear multi-step methods for SDEs and study when the numerical appro\-xi\-mation shares asymptotic properties in the mean-square sense of the exact solution. As in deterministic numerical analysis we use a ...
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2011-08-11BuchAsymptotic Properties of Fractional Delay Differential Equations In this paper we study the asymptotic properties of d-dimensional linear fractional differential equations with time delay. First results on existence and uniqueness of solutions are presented. Then we propose necessary ...
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2005-10-20BuchAsymptotic properties of regularized differential-algebraic equations
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2011-09-27BuchBaxter Q-Operators and Representations of Yangians We develop a new approach to Baxter Q-operators 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 ...
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2006-01-01BuchBilateral 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 ...
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2011-08-11BuchBoundary 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
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2011-08-11BuchBoundary 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
