"A Categorical View of Completeness in Di-Uniform Texture Spaces"
In the previous studies, it was shown that the ditopological texture spaces provide a unified setting for the study of topology, bitopology and fuzzy topology on Hutton algebras. Following that, a suitable uniformity theory in textures was constructed under the name di-uniformity, and this represented a generalization of classical quasi-uniformity. Therefore, by defining regular Cauchy difilters on a texture, the concept of dicompleteness as a natural counterpart of "completeness" in the sense of quasi-uniformity has been introduced for di-uniform texture spaces.Accordingly, in this work the following ideas will be taken up
|Prof Filiz Yildiz||Hacettepe University, Turkey||16/09/2014|
Under certain conditions there are considerably more quasi-lattices than Banach lattices. For example, (within reason) nearly every finite dimensional ordered Banach space is a quasi-lattice, while there is essentially only one n-dimensional Banach lattice for each n.
We will show how certain properties carry over from Banach lattices to quasi-lattices and discuss some still open problems.
(Technical details are kept to a minimum, the talk should be accessible to students and non-analysts who know what a Banach space is).
|Dr Miek Messerschmidt||Potchefstroom campus of the North-West University, South Africa||06/06/2014|
|"High Order Finite Difference Approximations of Multi-physics Problems" Abstract
Great progress has been made for high order finite difference methods during the last 20 years. It is now rather straightforward to construct stable and high order accurate multi-block finite difference schemes in a building-block-like manner. In this talk we will discus new developments, new extensions, new fields of applications, share experience on the full scale use of the technique, and speculate about future trends. We present the theory by using simple model problems, and exemplify with complex multi-physics applications.
First we walk through the basic technique for a simple model problem where all the ingredients such as well-posedness, summation-by-parts operators, penalty techniques for boundary and interface conditions, and the energy method are explained. Next, we discuss the application of the theory to coupling techniques for conjugate heat transfer, earthquake simulations, fluid- solid interaction and simulation of potential propagation in neuronal branches. Finally we discuss new time-integration procedures, new boundary conditions for the Navier-Stokes equations and a new variance reduction technique for stochastic partial differential equations.
|Professor Jan Nordeström||Linköping University, Sweden||24/04/2014|
|"CRAG@65 Seminar on Topology and Category Theory" to celebrate Christopher Gilmour's many years of mathematical activity and his 65th birthday.||Speakers||University of Cape Town||08/04/2014|
|Stochastic Equations in Physics and Biology"
Abstract: I will give a very brief introduction into the framework of stochastic calculus, followed by a couple of examples borrowed from physics and biology. The first example is related to the transport of colloids through narrow nano-channels, the second example is concerned with the motion of the self-propelled particles, such as bacteria.
|Dr. Andrey Pototski||University of Cape Town||04/10/2012|
|Representation Theory of Symmetric Operators",||Dr. Rob Martin||University of Cape Town||27/09/2012|
|The Finite Element Method||Dr Daya Reddy||University of Cape Town||13/09/2012|
|Brian Hahn Memorial Lecture: Computationally linking the internal and external worlds of biological organisms.Granular flow modeling in tumbling mills||University of Pretoria||Professor Wayne Getz||20/07/2012|
|Granular flow modeling in tumbling mills||Dr Indresan Govender||University of Cape Town||31/05/2012|
|The Mathematics of "Fracking"||Anthony Peirce||University of British Columbia||15/05/2012|
|Combinatorics and Card Shuffling||Sami Assaf||University of Southern California||11/05/2012|
|Electrically-charged moving bodies of electrical propagation in the heart||Sehun Chun||AIMS, Muizenberg||09/02/2012|
|An invitation to sandpiles||David Perkinson||Reed College, Portland Oregon||08/02/2012|
|Parameters of integer partitions - a zoo of limit laws||Stephan Wagner||University of Stellenbosch||04/12/2011|
|Keep it simple stupid||Greg Rose||Qualcomm||24/10/2011|
|History of the Interplay between Mathematics and Chemistry||Ivan Gutman||University of Kragujevac||03/10/2011|
|Graph Theory as an Integral Part of Mathematics||Peter Horak||University of Washington||04/07/2011|
|Compact orbits and continuous group homomorphisms, constructively||Douglas Bridges||University of Canterbury||10/02/2011|
|Dark Energy and everyday Particle Physics||Federico Urbano||18/02/2010|
|A Boundary Integral Based Hybrid Numerical Procedure for the Solution of Differential equations||Okey Oseloka Onyejekwe||23/02/2010|
|A history of ideals in abstract algebra||Professor Aldo Ursini||University of Siena, Italy||04/03/2010|
|From thin liquid films to discrete stochastic systems||Andrey Pototsky||Loughborough University||17/05/2010|
|Cost effectiveness analysis of hospitalization and home-based care for people living with HIV/AIDS||Senelani Dorothy Hove Musekwa||National University of Science and Technology (NUST), Bulawayo||19/05/2010|
|Groups given by finite presentations||Gilbert Baumslag||City College of New York||18/11/2010|
|Hilbert's tenth problem, matrices and public key cryptography||Gilbert Baumslag||City College of New York||17/11/2010|
|Maths is sometimes fun||Gilbert Baumslag||City College of New York||16/11/2010|
|Partially hyperinvariant subspaces||Robin Harte||Trinity College, Dublin, Ireland||15/11/2010|
|Bringing teaching technology to the mathematical sciences...kicking and screaming.||Jeff Murugan||UCT MAM||02/11/2010|
|Optimizing the crossing number of a graphical representation of my mathematical genealogy using simulated annealing||Elmar Teufl||University of Tubingen|
|Reflections on Hyderabad||Kenneth Hughes||UCT MAM||13/09/2010|
|What can we anticipate from Hyderabad?||Kenneth Hughes||UCT MAM||13/08/2010|
|The Hiring Problem and Permutations||Conrado Martinez||Universitat Politècnica de Catalunya||30/07/2010|
|Bows, Halos and Flashes: A Tour of Atmospheric Optics.||Jonathan Shock||The University of Santiago de Compostela||26/05/2010|
|Proof theory, topological dynamics and combinatorics||Philipp Gerhardy||University of Oslo||28/04/2010|
|Reproducing kernel Hilbert spaces and Sampling Theory||Rob Martin||University of California - Berkeley||28/04/2010|
|Herve Enjieu Kadji||Tohoku University||26/04/2010|
|On the solvability conditions for the diffusion equation with convection terms||Vitali Vougalter||University of Toronto||26/04/2010|
|Isoperimetric inequalities, eigenvalues, and related quantities||Jesse Ratzkin||University College Cork||26/04/2010|
|The Probabilistic Zeta Function of Finite and Profinite Groups||Erika Damian||University of East Anglia||30/03/2010|
|Pre- and Post-crisis Yield Curve Bootstrap||Graeme West||Financial Modelling Agency||30/03/2010|
|Asymptotic behaviour of a nonlinear differential equation in mathematical finance||Cloud Makasu||UWC||29/03/2010|