科研團隊
數學系在許多領域積極參與各項研究，主要包括以下內容：
廖立志教授, 凌立雲博士, 吳國寶教授, 湯濤教授, 巫孝南教授, 袁曉明博士, 曾鐵勇博士.
數學系教師經常聯合香港其他學者共同舉辦一些科學計算研究相關的國際會議。例如，2005年12月12日至16號在浸會大學舉辦了第二屆科學計算與偏微分方程國際會議及首屆東亞SIAM研討會。
以下是從事科學計算研究教師相關研究領域的列表：
- 有限元方法 Finite Element Methods, including conforming, nonconforming and hybrid-mixed finite element methods for solving second and fourth order, linear and nonlinear problems. Finite element methods for problems with singularities and problems on unbounded domains are also studied.
- 域分解方法 Domain Decomposition Methods. Based on the finite element discretization and conjugate gradient iteration we consider preconditioners for various kinds of problems - selfadjoint or non-selfadjoint, linear or nonlinear.
- 網格生成 Grid Generation. We develop automatic grid generation techniques for arbitrary domains using quadrilateral or triangle meshes. Applications include the tidal analysis of harbors and computer aided geometric design.
- 計算流體動力學 Computational Fluid Dynamics, including numerical methods for incompressible and compressible flows, which are governed by linear or nonlinear partial differential equations.
- 計算生物力學Computational Bio-Mechanics. Numerical methods have been developed for the mechanics and lubrication of the normal articulating joint, the load and deformational behavior of hydrated soft tissues such as articular cartilage, and meniscus and intervertebral discs.
- 譜方法 Spectral Methods. Mainly focusing on its application to computational fluid dynamics, and its application for solving problems in unbounded domain.
- 高維積分計算 Multidimensional Quadrature. We have established new error bounds for quasi-Monte Carlo methods using reproducing kernel Hilbert space techniques.
- 優化算法 Optimization, involving both theoretical and numerical aspects. The main research areas are unconstrained and constrained optimization, global optimization and large scale optimization.
- 優化控制 Optimal Control, mainly focusing on discrete-time nonlinear systems. Recent studies include nonlinear and linear optimal control and general multiobjective nonlinear control.
- 圖像處理 Image Processing, including image restoration, pattern recognition and image coding.
- 神經網絡 Neural Networks, with applications to financial analysis, image processing and graph theory.
- 並行計算 Parallel Computing. This research is concentrated on the development of parallel methodologies for large scale optimization, optimal control and numerical solutions for partial differential equations.
趙崇諾教授, 彭衡博士, 鄧文禮博士, 童鐵軍博士, 朱力行教授.
Prof. Zhu is an IMS Fellow and director of the University's Statistics Research and Consultancy Centre (SRCC).
統計學研究和專家咨詢中心主要從事理論和應用統計學的研究，並同時提供相關的統計咨詢服務。主要研究和咨詢項目是由市場營銷系和曆史系，語言中心，公開進修學院和市政局公共圖書館共同承擔。統計學研究和專家咨詢中心同時舉辦公開講座和短期培訓課程，並組織各種會議，不僅有效的促進了本地學者間的合作交流，同時大大增強了本地學者與中國內地及海外學者之間的合作交流。其中包括
- the International Symposium on Multivariate Analysis and Its Applications, March 1992
- the International Workshop on Quasi-Monte Carlo Methods and Their Applications, December 1995, and
- the International Symposium on Contemporary Multivariate Analysis and Its Applications, May 19-22, 1997
- symposium on Theory of The Uniform Design and Its Applications, October 26-29, 1999
- Fourth International Conference on Monte Carlo and Quasi-Monte Carlo Methods in Scientific computing, November 27 - December 1, 2000
- International Workshop on Applied Mathematics and Statistics, December 16, 2004
- International Conference on Statistics, June 20-24, 2005
我系的統計學研究主要包括以下領域：
- 多元分析 Multivariate Analysis, including inference, elliptically contoured distributions and tests for mulitivariate symmetry and normality.
- 數論或擬蒙特卡羅方法 Number-Theoretic or Quasi-Monte Carlo Methods, generating low discrepancy sequences and studying their applications to experimental design and inference.
- 實驗設計 Experimental design, developing theory of the uniform design and its applications, exploring relationships among the uniform, orthogonal and optimal designs.
- 統計計算 Statistical Computing, including multidimensional statistical integrals, Gibbs sampling and neural networks.
- 生存分析 Survival Analysis, including the Cox proportional hazards model, multivariate survival data and interval-censored data.
- 線性模型 Linear Models, including non-normal error inference with intra-correlation and designs of experiments.
- 空間統計 Spatial Statistics, including statistics for point processes and random sets and methods or edge-correction.
- 應用概率 Applied Probability, including stochastic geometry, random processes, and probabilistic modeling of molecular mechanisms in biology.
- 數據挖掘與生物信息學 Data mining and Bioinformatics in Chinese medicine and Chemistry, including development of new methods in data mining, microarray data analysis, repeatability and reproducibility of Chinese medicine.
我系現有多名博士學生參與統計學研究團隊。該統計學團隊成員和研究生經常就圖形模型，非參數回歸，實驗設計，小波，魯棒統計和分布理論等方面的研究內容開辦一系列研討會。
應用離散數學的主要研究領域包括組合數學，圖論及相關的離散數學結構。 近幾十年來，它已經發展成爲一個數學學科的主要領域。除了其作爲一個數學問題研究的重要性，他在許多領域的應用也越來越廣泛，例如物理，化學，工程應用，運籌學，糾錯碼理論，遺傳學，經濟學，心理學，社會學，字串學，生物信息學等
- 算法設計 Algorithm Design, including linear, super-linear, and combinatorial algorithm design for sorting, transformations and suffix array constructions.
- 帶寬最小化問題 Bandwidth minimization problem, including bounds of bandwidth on graphs with small number of cycles; effects on bandwidth after graph operations such as adding edges, merging vertices, or sub-division; cyclic bandwidth; and characterization of graphs with equal bandwidth and cyclic bandwidth.
- 循環色數問題 Circular chromatic number, including the circular chromatic number of some distance graphs; and the exact determination of a class of graphs obtained by a generalization of the construction of Mycielski.
- 著色問題 Coloring problems, including chromatic numbers and/or choice number of plane graphs without certain class of cycles; total vertex-edge coloring; total vertex-face coloring; total edge-face coloring; entire coloring problems and game chromatic numbers. We also work on some related problem such as arboricity or vertex-arboricity problems.
- 距離約束標號 Distance constrained labeling, including lambda2,1-numbers of special graphs and their relationship with other graph parameters; extending labeling of graphs; complexity and algorithms; and Lj,k-labeling.
- 圖的拓撲指數 Topological indices of graphs, including Weiner numbers; Kekulé structures; Hosoya index; Merrifield index; total pi-electron energy of molecular graphs.