CHUA Chek Beng
My research interests are in continuous optimisation and convex analysis. The focus is on the design and analysis of interior-point algorithms for structured convex optimisation problems, the study of representations of convex sets with applications in convex optimisation, and the study of algebraic, geometric and analytic structures of convex cones.
TAI Xue-Cheng
His reseach interests include computational mathematics and numerical analysis for partial differential equations. One of the main research activity has been applying numerical techniques for partial differential equations to digital image processing including noise removal, segmentation, registration, image inpaiting and level set related methods for curves and surfaces. Building new PDE models for image processing problem is also an important research topic. Applications to real medical and other industrial imaging problems are the focuses of these researches. Other reseacrh area is related to fast and parallel numerical algorithms related to minimization problems. The application area inlcudes inverse problems. Multigrid methods, domain decomposition methiods and other efficient iterative algorithms have been analysed and developed for different optimization problems. He is also actively working with finitel element methods for partial differential equations.