Year | Month |
2024 | Jan Feb Mar May |
2023 | Jan Feb Mar Apr May Jun Jul Aug Oct Nov Dec |
2022 | Jan Feb Jun Jul Aug Oct Nov Dec |
2021 | Jul Aug Sep Oct Nov |
Title: | A Level Set Method for the Dirichlet k-partition Problem |
Speaker: | Dr Kwun Lun CHU, Department of Mathematics, Hong Kong Baptist University, Hong Kong |
Time/Place: | 10:00:00 - 11:00:00 Zoom, (Meeting ID: 966 5758 8227) |
Abstract: | In this talk, we would introduce a new level set method for the Dirichlet k-partition problem, which partitions an open domain into K different subdomains as to minimize the sum of the smallest eigenvalue of the Dirichlet Laplace operator. We first formulate the problem as a nested minimization problem of a functional of the level set function and the eigenfunction. As an approximation, we propose to simply replace the eigenfunction by the level set function so that the nested minimization can then be converted to a single minimization problem for easier computation. We apply the standard gradient descent method so that the problem leads to a Hamilton–Jacobi type equation. Various numerical examples will be given to demonstrate the effectiveness of our proposed method. |
Title: | Applied Mathematics Problems and Opportunities in Energy Industry |
Speaker: | Joseph Ma, Global Signal Processing Center of Excellence, Halliburton, Singapore |
Time/Place: | 16:00:00 - 17:00:00 Zoom, Meeting ID: 981 4682 7176 |
Abstract: | With strong quantitative foundation, Mathematics students are open to career options, and will find themselves sought after, in technology positions across various industries. Once dominated by engineers, technicians and hands-on labours, the oil and gas industry are looking for more data scientist and geophysicists who are equipped with intensive quantitative training to face the ongoing and upcoming challenges. For instance, solving wave equations in complex geometry, formulating inverse problems with environmental constraints, design of fast algorithms for real time applications. In this talk, Joseph would share with students his journey from a mathematics student to becoming a R&D scientist at the oilfield servicing industry. Several industrial project examples will be presented in this talk to illustrate how Mathematics talents can find themselves valued at driving for solutions for these frontier industrial problems. |
The Department has a distinguished record in teaching and research. A number of faculty members have been recipients of relevant awards.
Learn MoreDr S. Hon recevied the Early Career Award (21/22) from the Research Grants Council.
DetailsFollow HKBU Math