Colloquium/Seminar
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Event(s) on October 2017
- Thursday, 12th October, 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, 17th October, 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, 24th October, 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, 26th October, 2017
Title: On the Out-of-Sample Extension of Nyström-Type Approximation Speaker: Prof. Jianzhong Wang, Department of Mathematics and Statistics, Sam Houston State University, U.S.A. Time/Place: 15:00 - 16:00
FSC1217, Fong Shu Chuen Library, HSH Campus, Hong Kong Baptist UniversityAbstract: Let Z = X bigcup Y be a data set in R^D, where X is the train set and Y is the test one. Assume that a kernel method, such as Diffusion Map or Isomap, is employed to produce a dimensionality reduction function Phi : X -> R^d ( d << D) that maps the high-dimensional data X to its row-dimensional representation Phi (X). The out-of-sample extension problem is to find the dimensionality reduction of Y using an extension of Phi instead of re-computing the dimensionality reduction for the whole set Z. Among various out-of-sample extension methods, those based on Nyström approximation are very attractive. Many papers have developed the algorithms for the Nyström-type extension and shown their validity by numerical experiments. However, there is still lack of a systematical theoretical foundation for the extension. This presentation develops a preliminary mathematical analysis on the Nyström-type out-of-sample extension, particularly emphasising on the estimates of the approximative errors. - Tuesday, 31st October, 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.