Browsing Institut für Mathematik by Title
Now showing items 150-169 of 329
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2011-08-11BuchMacro- And Micor-Simulations For A Sublimation Growth Of Sic Single Crystals The numerous technical applications in electronic and optoelectronic devices, such as lasers, diodes, and sensors demand high-quality silicon carbide (SiC) bulk single crystal for industrial applications. We consider a SiC ...
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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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2005-11-02BuchManaging the drift-off in numerical index-2 differential algebraic equations by projected defect corrections When integrating index-2 differential-algebraic equations, the given constraint may be failed to be met due to the integration method itself and also due to numerical defects in the realization. This so-called drift-off ...
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2006-08-02BuchMean-square convergence of stochastic multi-step methods with variable step-size We study mean-square consistency, stability in the mean-square sense and mean-square convergence of drift-implicit linear multi-step methods with variable step-size for the approximation of the solution of Ito stochastic ...
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2011-08-11BuchMeasure and Integration on Lipschitz-Manifolds The first part of this paper is concerned with various definitions of a $k$-dimensional Lipschitz manifold ${\cal M}^k$ and a discussion of the equivalence of these definitions. The second part is then devoted to the ...
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2005-10-21BuchMetric regularity and quantitative stability in stochastic programs with probabilistic constraints Necessary and sufficient conditions for metric regularity of (several joint) probabilistic constraints are derived using recent results from nonsmooth analysis. The conditions apply to fairly general nonconvex, nonsmooth ...
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2011-09-20BuchMinimal Entropy Martingale Measure for Lévy Processes Let X be a real-valued Lévy process under P in its natural filtration. The minimal entropy martingale measure is defined as an absolutely continuous martingale measure that minimizes the relative entropy with respect to ...
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2006-01-01BuchMixed discretisation methods for the Discontinuous Galerkin method with analytical test-functions The idea to this paper is a framework for modifying a standard Discontinuous Galerkin method for convection-diffusion-reaction-equations. We develop an abstract theory for the stability and error-estimates in $L^2$-norms ...
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2011-09-20BuchMixed Finite Element Methods of Higher-Order for Model Contact Problems This paper presents mixed finite element methods of higher-order for a simplified Signorini problem and an idealized frictional problem. The discretization is based on a mixed variational formulation proposed by Haslinger ...
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2011-08-11BuchMobile and immobile gaseous transport Embedded analytical solutions to finite volume methodsWe introduce a solver method for mobile and immobile transport regions. The motivation is driven by deposition processes based on chemical vapor problems. We analyze the coupled transport-reaction equation with mobile and ...
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2011-09-27BuchModel of PE-CVD apparatus Verification and SimulationsIn 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 ...
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2011-08-11BuchModeling and Simulation for Physical Vapor Deposition Multiscale ModelIn this paper, we present modeling and simulation for physical vapor deposition for metallic bipolar plates. In the models, we discuss the application of different models to simulate the transport of chemical reactions of ...
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2005-11-03BuchModeling Circuit Systems Coupled with Distributed Semiconductor Equations For a refined network analysis, we are interested in circuit simulation including distributed models of semiconductors. We construct a mathematical model for nonlinear electric networks containing semiconductors described ...
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2011-08-11BuchModeling for Chemical Vapor Deposition In this paper we present the modeling and simulation of a chemical vapor deposition for metallic bipolar plates. In the models we discuss the application of different ideas to simulate the transport of chemical reactants ...
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2011-08-11BuchModeling for Chemical Vapor Deposition Meso- and Microscale ModelsIn this paper we present modeling and simulation for chemical vapor deposition (CVD) on metallic bipolar plates. In the models we discuss the application of different models to simulate the plasma-transport of chemical ...
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2005-11-04BuchModeling of Uncertainty for the Real-Time Management of Power Systems A major issue in the application of multistage stochastic programming to model the cost-optimal generation and trading of electric power is the approximation of the underlying stochastic data processes by tree-structured ...
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2011-08-11BuchModified Jacobian Newton Iterative Method with Embedded Domain Decomposition Method In this article a new approach is proposed for constructing a domain decomposition method based on the iterative operator-splitting method for nonlinear differential equations. The convergence properties of such a method ...
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2011-09-20BuchMonte Carlo simulations concerning elastic scattering with application to DC and high power pulsed magnetron sputtering for Ti₃SiC₂ We motivate our studying on simulating thin film deposition processes that can be done by sputtering processes. In the last years, the research in producing high temperature films by depositing of low pressure processes ...
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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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2006-03-28BuchMotivic integration seminar talksThis is a suvey on theory and some applications of motivic integration. Besides basic facts of foundation of motivic integration from algebraic geometry it contains also some explanations from model theory. Some new open ...
