Browsing Institut für Mathematik by Title
Now showing items 122-141 of 329
-
2005-11-16BuchIterationsverfahren mit unvollständigen Korrekturen und die Lösung nichtlinearer Gleichungen Auf der Grundlage der Theorie dynamischer Systeme mit unvollständigen Korrekturen [1-2] werden verschiedene Methoden vom Gauß-Seidel-Typ zur numerischen Lösung nichtlinearer Gleichungen formuliert und analysiert. Für ...
-
2011-09-27BuchIterative Operator Splitting Method for Coupled Problems Transport and Electric FieldsIn 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) ...
-
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 ...
-
2011-09-27BuchIterative Operator Splitting Methods For Differential Equations Prooftechniques And ApplicationsIn 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. ...
-
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. ...
-
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 ...
-
2011-08-11BuchIterative operator-splitting methods for nonlinear differential equations and applications of deposition processes In this article we consider iterative operator-splitting methods for nonlinear differential equations. The main feature of the proposed idea is the embedding of Newton's method for solving the split parts of the nonlinear ...
-
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 ...
-
2011-08-11BuchIterative operator-splitting methods for wave equations with stability results and numerical examples We are motivated by simulating a three-dimensional wave equation for an anisotropic material with stress-free boundary conditions. The applications are suited in the earthquake simulation that is based on seismic model ...
-
2006-01-01BuchIterative Operator-Splitting Methods with higher order Time-Integration Methods and Applications for Parabolic Partial Differential Equations In this paper we design higher order time integrators for systems of stiff ordinary differential equations. We could combine implicit Runge-Kutta- and BDF-methods with iterative operator-splitting methods to obtain higher ...
-
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 ...
-
2001-10-12BuchJacobi theta embedding of a hyperbolic 4-space with cusps Starting from a fixed elliptic curve with complex multiplication we compose lifted quotients of elliptic Jacobi theta functions to abelian functions in higher dimension. In some cases, where complete Picard-Einstein metrics ...
-
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 ...
-
2006-09-20BuchLaGO - a (heuristic) Branch and Cut algorithm fornonconvex MINLPs We present a Branch and Cut algorithm of the software package LaGO to solve nonconvex mixed-integer nonlinear programs. A linear outer approximation is constructed from a convex relaxation of the problem. Since we do not ...
-
2002-05-31BuchLagrangian Decomposition of Mixed-Integer All-Quadratic Programs The purpose of this paper is threefold. First we show that the Lagrangian dual of a block-separable mixed-integer all-quadratic program (MIQQP) can be formulated as an eigenvalue optimization problem keeping the block-separable ...
-
2002-05-28BuchLagrangian Smoothing Heuristics for Max-Cut This paper presents smoothing heuristics for an NP-hard combinatorial problem based on Lagrangian relaxation. We formulate the Lagrangian dual for this nonconvex quadratic problem and propose eigenvalue nonsmooth unconstrained ...
-
2005-11-07BuchLarge time asymptotics of solutions to the anharmonic oscillator model from nonlinear optics The anharmonic oscillator model describing the propagation of electromagnetic waves in an exterior domain containing a nonlinear dielectric medium is investigated. The system under consideration consists of a generally ...
-
2005-11-07BuchLevel Zero Types and Hecke Algebras for Local Central Simple Algebras Let D be a central division algebra and Ax = GLm(D) the unit group of a central simple algebra over a p-adic field F. The purpose of this paper is to give types (in the sense of Bushnell and Kutzko) for all level zero ...
-
2003-09-15BuchLinear boundary value problems for differential algebraic equations By the use of the corresponding shift matrix, the paper gives a criterion for the unique solvability of linear boundary value problems posed for linear differential algebraic equations up to index 2 with well-matched leading ...
-
2005-11-09BuchLinear differential algebraic equations of index 1 and their adjoint equations For linear differential algebraic equations of tractability index 1 the notion of the adjoint equation is analysed in full detail. Its solvability is shown at the lowest possible smoothness. The fundamental matrices of ...
