Auflistung Institut für Mathematik nach Titel
Anzeige der Publikationen 164-183 von 329
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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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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 This 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 ...
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2011-08-11BuchMoving Fronts in Integro-Parabolic Reaction-Diffusion-Advection Equations The Neumann boundary value problem for a class of singularly perturbed integro-parabolic equations is considered. An asymptotic expansion of a new class of solutions of moving front type is constructed, and a theorem of ...
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2011-09-20BuchMulti-product expansion, Suzuki's method and the Magnus integrator for solving time-dependent problems
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2005-11-03BuchMulti-step Maruyama methods for stochastic delay differential equations In this paper the numerical approximation of solutions of It{\^o} stochastic delay differential equations is considered. We construct stochastic linear multi-step Maruyama methods and develop the fundamental numerical ...
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2005-11-03BuchMulti-step methods for SDEs and their application to problems with small noise In this paper the numerical approximation of solutions of Ito stochastic differential equations is considered, in particular for equations with a small parameter $\epsilon$ in the noise coefficient. We construct stochastic ...
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2005-10-21BuchMulticriterial Fractional Optimization At first we introduce different solution concepts for general vector optimization problems and summarize some relations between them. Further, we apply these solution concepts to vectorial fractional optimization problems ...
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2005-11-04BuchMultistage Stochastic Integer Programs We consider linear multistage stochastic integer programs and study their functional and dynamic programming formulations as well as conditions for optimality and stability of solutions. Furthermore, we study the application ...
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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 ...