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Talks 531 to 540 of 684 | show all
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Date | Time | Venue | Talk |
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11/09/10 | 02:00 pm | Schwarzenbergstrasse 95, Room 3.053 |
Spline-Ausgleich für die glatte Approximation von NC-Daten (Bachelorarbeitsvortrag) Michael Seeck ![]() |
10/20/10 | 03:00 pm | Schwarzenbergstrasse 95, Room 3.053 |
Entwicklung eines Algorithmus zur effektiven Lösung großer nichtlinearer Gleichungssysteme Fabian Krome ![]() |
09/22/10 | 03:00 pm | Schwarzenbergstrasse 95, Room 3.053 |
Eine graphische Benutzeroberfläche bei Kurvenverfolgung (Studienarbeitsvortrag) Uwe Köcher ![]() |
09/22/10 | 02:00 pm | Schwarzenbergstrasse 95, Room 3.053 |
Inexakte Inverse Iteration (Diplomarbeitsvortrag) Fatih Berber ![]() |
09/15/10 | 03:00 pm | Schwarzenbergstrasse 95, Room 3.053 |
Aspects of eigenvalue computations using Induced Dimension Reduction (Bachelorarbeitsvortrag) Olaf Rendel ![]() |
06/16/10 | 03:00 pm | Schwarzenbergstrasse 95, Room 3.053 |
Inducing dimension reduction for efficientlysolving large linear systems of equations Gerard L.G. Sleijpen, Department of Mathematics, Utrecht University, Utrecht, The Netherlands The Induced Dimension Reduction method was proposed in 1980 by Peter Sonneveld as an iterative method for solving large non-symmetric linear systems of equations. IDR can be considered as the predecessor of methods like CGS (Conjugate Gradient Squared [Sonneveld '89]) and Bi-CGSTAB (Bi-Conjugate Gradients STABilized [van der Vorst '92]). All three methods are based on efficient short recurrences. An important similarity between the methods is that they use orthogonalization with respect to a fixed `shadow residual'. Of the three methods, Bi-CGSTAB has gained the most popularity, and is probably still the most widely used short recurrence method for solving non-symmetric systems. ![]() |
04/14/10 | 03:00 pm | Schwarzenbergstrasse 95, Room 3.053 |
Inverse Iteration, Newton-Abschätzungen und Anwendung auf Rayleigh-Quotienten-Iterationen bei nichtlinearen Eigenwertproblemen Prof. Hubert Schwetlick, TU Dresden, Institut für Numerische Mathematik Bekanntlich liefert ein Schriitt $(u,\theta) \mapsto u_+^{InvIt}$ der Inversen Iteration für das nichtlineare Eigenwertproblem $T(\lambda)x=0$ dieselbe Richtung wie ein Schritt $(u,\theta) \mapsto (u_+^{Newt},\theta_+^{Newt})$ des Newtonverfahrens für das erweiterte System $T(\lambda)x=0,\;w^Hx=1$ mit einem geeigneten Skalierungsvektor $w$, d.h., es gilt $\mbox{span}\,\{u_+^{InvIt}\}=\mbox{span}\,\{u_+^{Newt}\}$. Es liegt daher nahe, zur Abschätzung der Verbesserung der Eigenvektorapproximation $u$ durch die Inverse Iteration Newton-Techniken zu verwenden. Es wird gezeigt, dass dies zu genauen Abschätzungen führt, wenn explizit mit dem Restglied zweiter Ordnung gearbeitet und dessen spezielle Produktstruktur berücksichtigt wird wie das von \textsc{Heinz Unger} [50] erstmalig (und ohne publizierten Beweis) für das lineare Problem $T(\lambda)=A-\lambda I$ getan worden ist. ![]() |
02/17/10 | 02:00 pm | Schwarzenbergstrasse 95, Room 3.053 |
wird noch bekannt gegeben Michael Dudzinski ![]() |
02/03/10 | 01:00 pm | Schwarzenbergstrasse 95, Room 3.053 |
On the motion of several rigid bodies in an incompressible non-Newtonian fluid* Prof. Sarka Necasova, Institute of Mathematics of the Academy of Sciences, Praha, Czech Republic The motion of one or several rigid bodies in a viscous fluid occupying a bounded domain $\Omega in R^3$ represents an interesting theoretical problem featuring, among others, possible contacts of two or more solid objects. We consider the motion of several rigid bodies in a non-Newtonian fluid of a power-law type. Our main result establishes the existence of global-in-time solutions of the associated evolutionary system, when collisions of two or more rigid objects do not appear in a finite time unless they were present initially. ![]() |
01/27/10 | 03:00 pm | Schwarzenbergstrasse 95, Room 3.053 |
A self-similar solution for the porous medium equation in a two-component domain* Prof. Jan Filo, Comenius University, Bratislava, Slovak Republic We solve a particular system of nonlinear ODEs defined on the two different components of the real line connected by the nonlinear contact condition ![]() |
* Talk within the Colloquium on Applied Mathematics