Browsing Fakultät für Mathematik und Informatik (inkl. GAUSS) by Advisor & Referee "Kriete, Hartje PD Dr."
Now showing items 1-4 of 4
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Approximation of Baker domains and convergence of Julia sets.
(2013-05-14)The goal of this thesis is to prove the Hausdorff convergence of Julia sets as we approximate a family of transcendental entire functions featuring a unique Baker domain. At first, we give a dynamical description of the ... -
Generic Programming and Algebraic Multigrid for Stabilized Finite Element Methods
(2007-02-28)Two topics are in the focus of this thesis. On the one hand, the generic construction of efficient data-structures for various purposes in numerical linear algebra, and on the other hand, ... -
Random Iterations of Subhyperbolic Relaxed Newton's Methods
(2005-04-01)The family of the natural iterations of a subhyperbolic relaxed Newton s method of a complex polynomial devides the Riemann sphere into two disjoint sets: the nonempty, perfect, nowhere ... -
On the Stability of Julia Sets of Functions having Baker Domains
(2005-01-07)We study the behaviour of Julia sets under perturbation of the underlying functions. We focus on functions whose associated Fatou sets contain Baker domains. In the first chapter we examine ...