Instructors/Speakers Prof. Kejia PAN Professor School of Mathematics and Statistics Central South University China Abstract The multigrid method is an efficient iterative method for solving discrete partial differential equations. The geometric multigrid method has the nested mesh required for Richardson extrapolation. We propose two extrapolation multigrid methods: extrapolation cascadic multigrid method (EXCMG), extrapolation full multigrid method (EXFMG), and show the superoptimality of the EXCMG method for solving second-order elliptic problems. Finally, some numerical experiments include second-order and fourth-order elliptic problems and fractional diffusion equations are given to show the efficiency of the EXCMG method. Biography Prof. Pan is a professor and the vice dean of School of Mathematics and Statistics, Central South University, China. He got his PhD degree in ...

Instructors/Speakers Prof. Yufeng XU Associate Professor School of Mathematics and Statistics Central South University China Abstract In this talk, we will review some explosive models from combustion theory. These models do not satisfy global Lipschitz condition in general, therefore nonexistence or multiplicity of classic solution are of extensive interests. We shall study a class of generalized explosive model with extremely low order temporal fractional derivative. Blowup phenomenon is theoretically analyzed and numerical simulation is carried out via a mixed numerical method based on adaptive finite difference and discontinuous Galerkin method. It is shown that the size of spatial domain cannot be too small, for guaranteeing the appearance of explosion of solution, which coincides with the physical observation. Biography Prof. Xu ...

Instructors/Speakers Prof. Furong LIN Professor Department of Mathematics Shantou University China Abstract We consider high order finite difference schemes for one-dimensional space-fractional advection-diffusion equation (SFADE). The temporal derivative is approximated by the Crank-Nicolson (CN) scheme and the space fractional derivatives are approximated by the weighted and shifted Gr\"{u}nwald difference (WSGD) scheme. In general WSGD schemes have second order accuracy, and by selecting a special parameter, we get the third order accuracy scheme. However, the third order scheme may not be stable. In this talk, some results on the accuracy and the stability of CN-WSGD schemes are reported. Biography Prof. Lin is a professor of Department of Mathematics, Shantou University, China. He got his PhD degree in Hong Kong University in ...

Instructors/Speakers Prof. Vannajan Sanghiran Lee University of Malaya Malaysia Abstract Computational structure-based protein design programs are becoming an increasingly important tool in molecular biology. The talk will review recent developments in algorithms for protein design, emphasizing how novel algorithms enable the use of more accurate biophysical models. The focus is on the relationship between protein flexibility and binding free energy and some useful hints for understanding when, and to what extent, flexibility. Lessons learned using molecular dynamics simulations and gaussian network model in designing DARPins (designed ankyrin repeat proteins), a genetically engineered antibody mimetic proteins, in HIV, dengue, and cancer targets will be discussed and concluded with a list of algorithmic challenges in computational protein design that we believe will ...