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Event(s) on May 2005
- Tuesday, 3rd May, 2005
Title: Paley-Wiener Theorem in Several Complex Variables and Clifford Algebra Speaker: Prof. Qian Tao, Department of Mathematics, University of Macau, Macau Time/Place: 11:30 - 12:30
FSC1217Abstract: We will first give a general exposition on Paley-Wiener theorems and Clifford analysis. Then we introduce an extension of the exponential function exp (ix \cdot y) where x in R^n is extended to x in R^{n+1} and y in R^nis extended to n-complex variables. By using this extension we give a fundamental proof of the Paley-Wiener theorem in several complex variables. This illustrates the idea that, with Clifford algebra, analysis of multi-variables may be treated as same as analysis of a single variable. - Tuesday, 3rd May, 2005
Title: A Modified Dyson Equation Method for Nonequilibrium Green's Function Methods in Electron Transport in Nanotransistors Speaker: Prof. Wei Cai, Department of Mathematics, University of North Carolina at Charlotte, USA Time/Place: 14:30 - 16:30
T909Abstract: In this talk, we will present a prelimary result on modified Dyson equation method for modeling electron transport in nano MOSFET transistors based on nonequilibrium Green's function methods. The transport property in MOSFET with nanoscale channel width (25 nm range) requires quantum modeling of the ballistic transport in the channel. The general framework for quantum transport is based on Keldysh nonequilibrium nonequilibrium Green's functions which can handle the effects of device geometry and dissipative interactions through self-energies. In this talk, we will be mainly concerned with the issue of how to contruct self energy from geometric effect of the MOSFET and the effect on the current flows. - Tuesday, 17th May, 2005
Title: Close-form Solutions of a Dynamic Monetary Model Speaker: Prof. Jenny Li, Department of Mathematics & Department of Economics, Penn State University, USA Time/Place: 11:30 - 12:30
FSC1217Abstract: This talk is about the complete solution to an open problem on the existence and uniqueness of a monetary model proposed by Rotemberg (Journal of Political Economy 1984). In fact, a three parameter close-form general solution is obtained for the third order nonlinear finite difference equations that charaterizes the model. The close-form solution reveals some new phenomenon of the model and makes it possible to study the original and other related models from a new perspective. - Friday, 20th May, 2005
Title: Central-Upwind Schemes for Hyperbolic Conservation Laws and Related Problems Speaker: Prof. Alexander Kurganov, Department of Mathematics, Tulane University, USA Time/Place: 11:30 - 12:30
FSC1217Abstract: We are interested in developing high-resolution and robust finite-volume methods for multidimensional systems of hyperbolic conservation laws and related problems--convection-diffusion equations, systems of balance laws, etc. We focus on the class of projection-evolution methods (so-called,Godunov-type schemes), which are based on the evolution of globally approximated solutions, reconstructed from the computed quantities -- cell averages. The evolution step is carried out according to the integral form of the studied PDEs. A careful selection of the evolution control volumes(space-time boxes of a grid size) allows one to derive a particularly simple and universal subclass of Godunov-type methods: central schemes. It will be shown that minimizing the amount of numerical dissipation present in the Godunov-type central schemes leads to the so-called central-upwind schemes. - Monday, 30th May, 2005
Title: Lectures on Scientific Writing in English: Elements of English style and grammar Speaker: Prof. Hermann Brunner, Memorial University of Newfoundland, Canada Time/Place: 14:30 - 15:30
RRS 905 - Tuesday, 31st May, 2005
Title: The Spectra of Graphs with Perfect Matchings Speaker: Dr. Chang An, Department of Mathematics, Fuzhou University, P R China Time/Place: 11:30 - 12:30
FSC1217Abstract: The theory of graph spectra can be considered as an attempt to utilize linear algebra including the well-developed theory of matrices for the purposes of graph theory and its applications. The investigation on the index of graphs, i.e., the largest eigenvalue of graphs, is undoubtedly an important topic in the theory of graph spectra. The recent developments on this topic also involve the problem concerning graphs with maximal or minimal index of a given class of graphs. This talk is about some progresses on the problem “classifying and ordering graphs by their index”, in particular, such new results on the graphs with perfect matchings. - Tuesday, 31st May, 2005
Title: Lectures on Scientific Writing in English: Mathematical writing in English Speaker: Prof. Hermann Brunner, Memorial University of Newfoundland, Canada Time/Place: 14:30 - 15:30
RRS 905