Colloquium/Seminar

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Event(s) on December 2009


  • Tuesday, 1st December, 2009

    Title: The calculation of pure imaginary eigenvalues of large sparse matrices with application to the detection of Hopf Bifurcations
    Speaker: Prof. Alastair Spence, University of Bath, UK
    Time/Place: 11:30  -  12:30
    FSC1217, Fong Shu Chuen Library, HSH Campus, Hong Kong Baptist University
    Abstract: The detection of a Hopf bifurcation in a large scale dynamical system that depends on a physical parameter often consists of attempting to compute pure imaginary eigenvalues of large sparse matrices. In this talk we describe a new method that utilises a certain sum of Kronecker products but in practice requires the solution of a sequence of Lyapunov equations with low rank right hand sides. It is this last fact that makes the method feasible for large systems.


  • Tuesday, 1st December, 2009

    Title: DLS: Foundation of Geometry and the understanding of flatness and continuity of the space
    Speaker: Prof. Wu-Yi Hsiang, Department of Mathematics, University of California, Berkeley, USA
    Time/Place: 15:30  -  16:30 (Preceded by Reception at 3:00pm)
    RRS905, Sir Run Run Shaw Building, HSH Campus, Hong Kong Baptist University


  • Tuesday, 1st December, 2009

    Title: DLS: The monumental discovery of Kepler's laws on planetary motions, revisited
    Speaker: Prof. Wu-Yi Hsiang, Department of Mathematics, University of California, Berkeley, USA
    Time/Place: 16:30  -  17:30
    RRS905, Sir Run Run Shaw Building, HSH Campus, Hong Kong Baptist University


  • Thursday, 3rd December, 2009

    Title: DLS: The monumental achievement of 'Principia' revisited
    Speaker: Prof. Wu-Yi Hsiang, Department of Mathematics, University of California, Berkeley, USA
    Time/Place: 16:30  -  17:30
    RRS905, Sir Run Run Shaw Building, HSH Campus, Hong Kong Baptist University


  • Monday, 7th December, 2009

    Title: Lecture Series on Graph Theory and Combinatorial Algorithms: Computing Inverse Sort Transform and Suffix Array in Linear Complexity
    Speaker: Dr. Wai-hong Chan, Department of Mathematics, Hong Kong Baptist University, Hong Kong
    Time/Place: 11:00  -  12:00
    FSC1217, Fong Shu Chuen Library, HSH Campus, Hong Kong Baptist University


  • Tuesday, 8th December, 2009

    Title: One stone two birds--adaptive decompositions for singular partial differential equations and beyond
    Speaker: Prof. Qin SHENG, Department of Mathematics, Baylor University, USA
    Time/Place: 14:30  -  15:30
    FSC1217, Fong Shu Chuen Library, HSH Campus, Hong Kong Baptist University
    Abstract: Decomposition, or splitting, finite difference methods have been playing an important role in the numerical solution of nonsingular partial differential equations dueto their remarkable efficiency, simplicity and flexibility in computations as compared with their peers. Although the numerical strategy is still in its infancy for solving singular differential equation problems arising from many applications, explorations of the next generation decomposition schemes associated with various kinds of adaptations can be found in many recent publications. In this talk, we will focus on the latest developments in the area. Key comments will be devoted to the direct solutions of degenerate singular reaction-diffusion equations. Our explorations will also be extended to adaptive and decompositions for optical beam propagation computations and reconstructions. Simulated results with interesting applications will be presented.


  • Tuesday, 15th December, 2009

    Title: Some divergence-free finite elements in 2D and 3D
    Speaker: Prof. ZHANG Shangyou, Department of Mathematical Sciences, University of Delaware, USA
    Time/Place: 11:30  -  12:30
    FSC1217, Fong Shu Chuen Library, HSH Campus, Hong Kong Baptist University
    Abstract: The incompressible constraint in fluid dynamics and the nearly incompressible condition in solid mechanics post a difficulty in computation, especially in the finite element method. In 1983, Scott and Vogelius showed that the P_k-P_{k-1} element (approximating the velocity by continuous piecewise-polynomials of degree k and approximating the pressure by discontinuous piecewise-polynomials of degree k-1) is stable and consequently of the optimal order on 2D triangular grids for all k>= 4, provided the grids have no nearly-singular vertex. For such a combination of mixed elements, the finite element velocity is divergence free point wise, truly incompressible. The 3D version of P_k-P_{k-1} problem is still open. We give some partial answers and present some new divergence-free elements in this talk.


  • Wednesday, 16th December, 2009

    Title: SRCC DLS: Statistics under Uncertaity: A New Challenging Problem in Finance
    Speaker: Prof. Shige Peng, Shandong University, China
    Time/Place: 11:00  -  12:30 (Preceded by Reception at 10:30am)
    RRS905, Sir Run Run Shaw Building, HSH Campus, Hong Kong Baptist University
    Abstract: To solve risk control problem in finance we face a chanllenging problem: how to quantitatively measure a risk position while the distribution uncertainty (or ambuguity) is essentially integrated into the utilities of financial markets, financial institutions, locally or globally? It also provides a new opportunity for us to explore fundamental problems in statistics under probability and distribution model uncertainty. We present our new law of large number (LLN) and central limit theorem (CLT) under uncertainty which bring us to a new frontier of risk data analysis. One typical problem is how to estimate the robust version of the normal distribution of which naturally appears from our new CLT? This fascinating problem involves statistics, probability theory, theoretical and computational nonlinear PDE of HJB type, ....


  • Tuesday, 22nd December, 2009

    Title: Estimation and Model Selection in a Class of Semiparametric Models
    Speaker: Dr. ZHANG Wenyang, Department of Mathematical Sciences, University of Bath, UK
    Time/Place: 11:30  -  12:30
    FSC1217, Fong Shu Chuen Library, HSH Campus, Hong Kong Baptist University
    Abstract: Multiparameter likelihood models with multiple covariates have a wide range of applications. However, they encounter the ``curse of dimensionality" problem when the dimension of the covariates is large. We develop a generalized multiparameter likelihood model that copes with multiple covariates and adapts to dynamic structural changes well. It includes some popular models, such as the partially linear and varying coefficient models, as special cases. When the model is fixed, a simple and effective two-step method is developed to estimate both the parametric and the nonparametric components. The proposed estimator of the parametric component has the $n^{-1/2}$ convergence rate, and the estimator of the nonparametric component enjoys an adaptivity property. A data-driven procedure is suggested to select the bandwidths involved. We further develop an automatic procedure to identify constant parameters in the underlying model. A simulation study and an application to the infant mortality data of China are given to demonstrate performance of the proposed methods.