Colloquium/Seminar
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Event(s) on November 2017
- Wednesday, 1st November, 2017
Title: Big data: through the looking-glass of superresolution Speaker: Prof. Charles Chui, Department of Mathematics, Hong Kong Baptist University, HKSAR Time/Place: 15:30 - 16:30
FSC1217, Fong Shu Chuen Library, HSH Campus, Hong Kong Baptist UniversityAbstract: Big data have been around since Big Bang and the beginning of life, but were not feasible to be explored till recently. The contents of this lecture include the progress of big data acquisition in the areas of fluorescence light microscopy and space telecopy, as well as the recent progress of mathematical approaches in the direction of superresolution. Unfortunately, there are more open questions than solutions. - Tuesday, 7th November, 2017
Title: Advancements in Computing Solutions of Hyperbolic Conservation Laws Speaker: Professor Rolf Jeltsch, Seminar for Applied Mathematics, ETH Zurich, Switzerland Time/Place: 15:30 - 16:30 (Preceded by Reception at 15:00pm)
FSC1217, Fong Shu Chuen Library, HSH Campus, Hong Kong Baptist UniversityAbstract: In the last five years the development of numerical methods for systems of hyperbolic conservation laws has advanced dramatically. This changed the concept of what is considered to be a solution. The first time ever since 1757 when Euler developed his equations for gas dynamics can one now show convergence of numerical solutions to solutions of these equations. Starting from basic knowledge in the field these new schemes are presented. The series of lectures has to be seen in connection with the Workshop on Numerical Methods for Hyperbolic Conservation and Balance Laws and Applications 10-11 November 2017. - Thursday, 9th November, 2017
Title: Determining fractional magnetic-Schrödinger operator Speaker: Ms Xinlin CAO, Department of Mathematics, Hong Kong Baptist University, HKSAR Time/Place: 10:00 - 11:00
FSC1217, Fong Shu Chuen Library, HSH Campus, Hong Kong Baptist UniversityAbstract: The study of the nonlocal operator is currently an active research area in mathematics. We introduce an inverse problem of nonlocal fractional magnetic-Schrödinger operator 〖[∑_(j=1)^n▒(-i ∂/(∂x_j )+A_j )^2 ]〗^s+q, for 0 - Thursday, 9th November, 2017
Title: Plasmon resonances and cloaking, and spectral properties of Neumann-Poincare operators Speaker: Mr Hongjie LI , Department of Mathematics, Hong Kong Baptist University, HKSAR Time/Place: 11:00 - 12:00
FSC1217, Fong Shu Chuen Library, HSH Campus, Hong Kong Baptist UniversityAbstract: The plasmon material, which can induce plasmon resonance, will be first introduced. Next one of its applications, cloaking due to anomalous localized resonance (CALR), will be discussed for the elastostatic system in two and three dimensions. Actually, this phenomenon mainly depends on the spectrum of the Neumann-Poincare (N-P) operator, which is very difficult to calculate, because the N-P operator is not compact even if the domain has a smooth boundary. Two methods are introduced to calculate the spectrum of the N-P operator. At last, the new results for the Helmholtz equation will be given. - Thursday, 9th November, 2017
Title: Inverse problems for stochastic PDEs and determination of random mediums Speaker: Mr Shiqi MA , Department of Mathematics, Hong Kong Baptist University, HKSAR Time/Place: 14:00 - 15:00
FSC1217, Fong Shu Chuen Library, HSH Campus, Hong Kong Baptist UniversityAbstract: Consider the inverse backscattering problem for Schrodinger equation (∆+k²-q)u = 0 with random potential q. With assumptions on the ran-dom potential q, the principal symbol of the covariance operator induced by the random potential q is recovered, with information of multiple fre-quency k backscattering data. At first, basic properties of the random potential and its covariance operator are given. Then both forward and inverse problem are studied for the equation (∆+ k² - q)u = 0 with random potential. In the forward problem, the original equation is transformed into the Lippmann-Schwinger equation and Born expansion is adopted to con-struct the solution. The boundedness of the operator T ᴏ q is studied. The Born expansion will be used in the inverse problem to recover the principal symbol. The chance of extending the method used in the Schrodinger equation to Helmholtz equation is studied. And other attempts for future study directions are mentioned. - Friday, 10th November, 2017
Title: On solving bilevel optimization problems Speaker: Prof. Jane Ye, Department of Mathematics, University of Victoria, Canada Time/Place: 11:00 - 12:00
FSC1217, Fong Shu Chuen Library, HSH Campus, Hong Kong Baptist UniversityAbstract: A bilevel optimization problem is a sequence of two optimization problems where the constraint region of the upper level problem is determined implicitly by the solution set to the lower level problem. It can be used to model a two-level hierarchical system where the two decision makers have different objectives and make their decisions on different levels of hierarchy. Recently more and more applications including those in machine learning have been modelled as bilevel optimization problems. In this talk, I will discuss issues, challenges and discovery I encountered in trying to solve this class of very difficult but very useful optimization problems. - Tuesday, 21st November, 2017
Title: Advancements in Computing Solutions of Hyperbolic Conservation Laws Speaker: Professor Rolf Jeltsch, Seminar for Applied Mathematics, ETH Zurich, Switzerland Time/Place: 15:30 - 16:30 (Preceded by Reception at 15:00pm)
FSC1217, Fong Shu Chuen Library, HSH Campus, Hong Kong Baptist UniversityAbstract: In the last five years the development of numerical methods for systems of hyperbolic conservation laws has advanced dramatically. This changed the concept of what is considered to be a solution. The first time ever since 1757 when Euler developed his equations for gas dynamics can one now show convergence of numerical solutions to solutions of these equations. Starting from basic knowledge in the field these new schemes are presented. The series of lectures has to be seen in connection with the Workshop on Numerical Methods for Hyperbolic Conservation and Balance Laws and Applications 10-11 November 2017. - Tuesday, 28th November, 2017
Title: Advancements in Computing Solutions of Hyperbolic Conservation Laws Speaker: Professor Rolf Jeltsch, Seminar for Applied Mathematics, ETH Zurich, Switzerland Time/Place: 15:30 - 16:30 (Preceded by Reception at 15:00pm)
FSC1217, Fong Shu Chuen Library, HSH Campus, Hong Kong Baptist UniversityAbstract: In the last five years the development of numerical methods for systems of hyperbolic conservation laws has advanced dramatically. This changed the concept of what is considered to be a solution. The first time ever since 1757 when Euler developed his equations for gas dynamics can one now show convergence of numerical solutions to solutions of these equations. Starting from basic knowledge in the field these new schemes are presented. The series of lectures has to be seen in connection with the Workshop on Numerical Methods for Hyperbolic Conservation and Balance Laws and Applications 10-11 November 2017.