Institut für Mathematik: Recent submissions
Now showing items 21-40 of 329
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2011-09-27BuchA new algorithm for the index determination in DAEs by Taylor series using Algorithmic Differentiation We present an approach for determining the tractability index using truncated polynomial arithmetic. In particular, computing the index this way generates a sequence of matrices that contains itself derivatives. We realize ...
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2011-09-27BuchIterative operator-splitting method Error analysis and examplesIn this paper we describe an iterative operator-splitting method for bounded operators. The contribution is a novel iterative method, that can be applied as a splitting method for ordinary and partial differential equations. ...
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2011-09-27BuchSplitting Method of Convection-Diffusion Methods with Disentanglement methods Disentanglement MethodsIn this paper, we discuss higher-order operator-splitting methods done by disentanglement methods. The idea is based on computing best fitted exponents to an exponential splitting scheme with more than two operators. We ...
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2011-09-20BuchKinetic processes and Phase-transition of CVD processes for Ti₃SiC₂ In this paper we present a kinetic model based on numerical simulations of a chemical vapor deposition (CVD) process. We discuss a model that is based on kinetics of the deposition rates to the material. Such a simple ...
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2011-09-20BuchA combined BDF-semismooth Newton approach for time-dependent Bingham flow This paper is devoted to the numerical simulation of time-dependent convective Bingham flow in cavities. Motivated by a primal-dual regularization of the stationary model, a family of regularized time-dependent problems ...
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2011-09-20BuchComputation of Iterative operator-splitting methods In this paper we describe a computation of iterative operator-splitting method, which are known as competitive splitting methods. We derived a closed form, based on commutators for the iterative method. The schemes apply ...
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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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2011-09-20BuchEstimation of the characteristics of a Lévy process observed at arbitrary frequency
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2011-09-20BuchIterative operator-splitting methods for Time-irreversible Systems Theory and Application to Advection-Diffusion EquationsIn this paper, we deduce higher order error bounds for iterative operator splitting methods for time-irreversible systems of linear advection-diffusion equations. involving time-irreversible diffusion and a reversible ...
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2011-09-20BuchIterative operator-splitting with time overlapping algorithms Theory and Application to constant and time-dependent wave equationsIn this article we consider wave equations with constant and linear time dependent diffusion-coefficients which are solved numerically by iterative operator splitting with interval overlapping algorithms. The benefits of ...
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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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2011-09-20BuchHigher Order Operator-Splitting Methods via Zassenhaus product formula Theory and ApplicationsIn this paper, we contribute higher order operator-splitting method improved by Zassenhaus product. We apply the contribution to classical and iterative splitting methods. The underlying analysis to obtain higher order ...
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2011-09-20BuchEstimator competition for Poisson problems
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2011-09-20BuchIterative Operator-Splitting Methods and Continuous and Discrete Case Theory and ApplicationsIn this paper, we contribute waveform relaxation and iterative splitting methods for systems of parabolic differential equations. We could present an analysis comparing both methods and see advantages in the iterative ...
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2011-09-20BuchOn the intrinsic complexity of point finding in real singular hypersurfaces In previous work we designed an efficient procedure that finds an algebraic sample point for each connected component of a smooth real complete intersection variety. This procedure exploits geometric properties of generic ...
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2011-09-20BuchCoupled Navier Stokes-Molecular Dynamics Simulation using Iterative Operator-Splitting Methods In this paper, we contribute a multi-scale 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 ...
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2011-09-20BuchOn the geometry of polar varieties
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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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2011-09-20BuchIterative Operator Splitting Methods Relation to Waveform Relaxation and Exponential Splitting MethodsIn this paper we describe a technique for closed formulation of an iterative operator-splitting method and embed the method in the classical exponential splitting methods. Since iterative operator splitting have been ...
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2011-09-20BuchOn guaranteed parameter estimation of a multiparameter linear regression process
