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Preprints aus dem Institut für Mathematik
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Preprints aus dem Institut für Mathematik
Recent Submissions
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2013-09-12BuchOperator-Splitting Methods Respecting Eigenvalue Problems For Shallow Shelf Equations With Basal Drag We discuss different numerical methods for solving the shallow shelf equations with basal drag. The coupled equations are decomposed into operators for membranes stresses, basal shear stress and driving stress. Applying ...
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2011-10-20BuchReview of AdS/CFT Integrability, Chapter I.2 We review the constructions and tests of the dilatation operator and of the spectrum of composite operators in the flavour SU(2) subsector of N=4 SYM in the planar limit by explicit Feynman graph calculations with emphasis ...
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2011-10-20BuchReview of AdS/CFT Integrability This is the introductory chapter of a review collection on integrability in the context of the AdS/CFT correspondence. In the collection we present an overview of the achievements and the status of this subject as of the ...
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2011-09-27BuchTwist operators in N=4 beta-deformed theory In this paper we derive both the leading order finite size corrections for twist-2 and twist-3 operators and the next-to-leading order finite-size correction for twist-2 operators in beta-deformed SYM theory. The obtained ...
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2011-09-27BuchReview of AdS/CFT Integrability, Chapter III.1 The one-dimensional Heisenberg XXX spin chain appears in a special limit of the AdS/CFT integrable system. We review various ways of proving its integrability, and discuss the associated methods of solution. In particular, ...
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2011-09-27BuchFrom convergence principles to stability and optimality We show in a rather general setting that Hoelder and Lipschitz stability properties of solutions to variational problems can be characterized by convergence of more or less abstract iteration schemes. Depending on the ...
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2011-09-27BuchIterative Operator Splitting Method for Coupled Problems In this article a new approach is considered for implementing operator splitting methods for transport problems, influenced by eletric fields. Our motivation came to model PE-CVD (plasma-enhanced chemical vapor deposition) ...
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2011-09-27BuchOperator-Splitting Methods Respecting Eigenvalue Problems For Shallow Shelf Equations With Basal Drag We discuss different numerical methods for solving the shallow shelf equations with basal drag. The coupled equations are decomposed into operators for membranes stresses, basal shear stress and driving stress. Applying ...
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2011-09-27BuchSuperspace calculation of the four-loop spectrum in N=6 supersymmetricChern-Simons theory
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2011-09-27BuchPorous Media Based Modeling of parallel Plate PE-CVD Apparatus The numerous technical applications in deposit metal plates with new materials like SiC and TiC has an advantage to overcome the leaking corrosive behavior and have additional a good electrical behavior. Here we present ...
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2011-09-27BuchIterative Operator Splitting Methods For Differential Equations In this paper we describe an iterative operator-splitting method for bounded operators. Our contribution is a novel iterative method that can be applied as a splitting method to ordinary and partial differential equations. ...
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2011-09-27BuchOscillator Construction of su(n|m) Q-Operators We generalize our recent explicit construction of the full hierarchy of Baxter Q-operators of compact spin chains with su(n) symmetry to the supersymmetric case su(n|m). The method is based on novel degenerate solutions ...
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2011-09-27BuchOn the existence of weak solutions to a coupled system of two turbulent flows
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2011-09-27BuchAlgorithms of intrinsic complexity for point searching in real singular hypersurfaces
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2011-09-27BuchMagnus integrator and successive approximation for solving time-dependent problems Magnus integrator and successive approximation for solving time-dependent problems. The Magnus expansion has been intensely studied and widely applied for solving explicitly time-dependent problems. Due to its exponential ...
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2011-09-27BuchA Shortcut to the Q-Operator Baxter's Q-operator is generally believed to be the most powerful tool for the exact diagonalization of integrable models. Curiously, it has hitherto not yet been properly constructed in the simplest such system, the compact ...
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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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2011-09-27BuchOn the construction of a class of Dulac-Cherkas functions for generalized Liénard systems
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2011-09-27BuchMonte Carlo simulations concerning modeling DC and high power pulsed magnetron sputtering for Ti₃SiC₂ including high pressures and ion deposition probabilities We motivate our study by simulating the particle transport of a thin film deposition process done by PVD (physical vapor deposition) processes. In this paper we present a new model taken into account a higher pressure ...
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2011-09-27BuchModel of PE-CVD apparatus In this paper we present the simulation of a chemical vapor deposition for metallic bipolar plates. For chemical vapor deposition, the delicate optimization between temperature, pressure and plasma power is important to ...
