Title: | Stochastic Nonlinear Diffusion Reaction Elliptic Boundary Value Problem |
Speaker: | Mr. Shi Cheng, Department of Mathematics, University of California San Diego, USA |
Time/Place: | 14:30 - 15:30 FSC1217, Fong Shu Chuen Library, HSH Campus, Hong Kong Baptist University |
Abstract: | The main well developed numerical methods for Stochastic PDEs are Stochastic Galerkin method and Stochastic Collocation method. The error estimators of linear Poisson problem from those two methods corresponding to numerical solutions, mean and second moment of numerical solution are analyzed properly already. However, the analysis of other types of linear and nonlinear models are still open. My talk will consider a stochastic nonlinear Diffusion Reaction model, and analyze well-posedness of its weak form in a new extended group of Banach spaces, additionally the discretization of weak solution will be discussed. |
Title: | Continuous Affine Scaling Methods for Convex Quadratic Programming |
Speaker: | Mr. YUE Hongwei, Department of Mathematics, Hong Kong Baptist University, Hong Kong |
Time/Place: | 14:30 - 15:30 FSC1217, Fong Shu Chuen Library, HSH Campus, Hong Kong Baptist University |
Abstract: | First we review the algorithms for solving the convex quadratic programming problems, and then consider the continuous trajectories of the vector field induced by the primal affine scaling algorithms as applied to the convex quadratic programming, i.e., the corresponding ordinary differential equations are based on the first-order and second-order affine scaling directions respectively, the presented methods share the features of the interior-point methods. We want to show that these trajectories tend to an optimal solution which in general depends on the starting point. Some achievements of the solution trajectories are made, research topics for future study will also be presented. |
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Learn MoreProf. M. Cheng, Dr. Y. S. Hon, Dr. K. F. Lam, Prof. L. Ling, Dr. T. Tong and Prof. L. Zhu have been awarded research grants by Hong Kong Research Grant Council (RGC) — congratulations!
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