Seminar Archive - 2012
Our regular seminar program covers a broad range of topics from applied mathematics, pure mathematics and statistics. All staff and students are welcome.
A complete list of past seminars can be accessed via the left-hand menu.
We study the spatially semidiscrete finite volume element method for the model homogeneous heat equation. Improving earlier results we show that known optimal order smooth initial data error estimates for the standard Galerkin and the lumped...
The following question will be addressed:How different can a general separable Banach space be from the Hilbert space? After listing some classical properties of the Hilbert space and discussing in which form they may or may not extend to general...
In binary classification problems it is common for the two classes to be imbalanced: one case is very rare compared to the other. In this work we consider the infinitely imbalanced case where one class has a finite sample size and the other class’s...
This tutorial surveys the state of the art in quasi-Monte Carlo rendering algorithms as used for imagesynthesis in the movie industry and product design.The synthesis of photorealistic images comprises the simulation of light transport, which...
Let the minimum of TeX Embedding failed!, TeX Embedding failed!, be required when first derivatives of TeX Embedding failed! are not available. We consider iterative methods that employ TeX Embedding failed! values of TeX Embedding failed! on each...
Boundary value problems on the unit sphere arise naturally in geophysics and oceanography when scientists model a physical quantity on large scales. Robust numerical methods play an important role in solving these problems. In this work, we...
The talk will discuss recent powerful results in noncommutative analysis, obtained jointly with D. Potapov andF. Sukochev, and the role of those results in the resolution of Koplienko's Conjecture (1984) in mathematical physics. This line of...
In this talk, I will give an overview of spectral theory as a nonlinear analog of Fourier analysis. There are several classes of nonlinear differential equations (among which are KdV and nonlinear Schroedinger equations) that could be solved with...
When we consider regression problems, there exist two approaches: the parametric approach with a suitably chosen model including a finite dimensional parameter vector, and the nonparametric approach without any assumption of structure. The...
This is the first of what I hope will be many mathematically themed movie nights.We shall begin with some background on this famous and controversial lemma of Zorn. Followed by a screening of Hollis Frampton's Zorn's Lemma www.imdb.com/title/...
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