Description

This is a one-day, intensive research workshop on some emerging and challenging mathematical and numerical problems arising from materials and biological sciences. Faculty members, postdocs, and students, from UC San Diego, USA, Zhejiang University, China, and other institutes, will present informal talks describing their related researches. There will be a lot of discussions among all the participants. Issues such as why some of the problems are important and how to tackle them will be addressed. It is hoped that research collaboration between different groups will be initiated and improved. Future research and education activities will also be planned.

Topics include but are not limited to:

• Finite-element and finite-difference methods for interface motion.
• Inverse and eigenvalue problems in materials modeling and simulation.
• Scaling laws in patter formation in materials and biological systems: partial differential equations approach.
• Shape derivatives for material structure designs and calculations of effective surface forces in molecular systems.
• Modeling and numerical computation of bioluminescence tomography.
• Geometrical aspects of continuum-solvent modeling of biomolecules: efficiency vs. accuracy.
• The Poisson-Boltzmann theory of continuum electrostatics: from molecular basis to efficient numerical methods.
• The Poisson-Nernst-Planck system for electro-diffusion with application to biochemical binding processes.

Funding Acknowledgment

This workshop is partially supported by the Department of Mathematics and Center for Mathematical Sciences (CMS), Zhejiang University, China, by the US National Science Foundation (NSF) through the grant DMS-0811259, and by the Center for Theoretical Biological Physics, a US NSF Physics Frontier Center located at UC San Diego and funded by the NSF through the grant PHY-0822283.

Organizers

• Xiao-Liang Cheng (Zhejiang University, China). Email: xiaoliangcheng@zju.edu.cn
• Bo Li (University of California, San Diego, USA). Email: bli@math.ucsd.edu

Meeting Place

CMS Building, Room 203, Yu Quan Campus (Map), Zhejiang University, Hangzhou, China.

Schedule

10:25 - 10:30

• Opening Introduction by Xiao-Liang Cheng (Zhejiang University) and Bo Li (UC San Diego)

10:30 - 11:00

• Speaker: Bo Li (UC San Diego)
• Title: The Poisson-Boltzmann Theory of Continuum Electrostatics with Application to Variational Solvation of Biomolecules

11:00 - 11:10. Discussions

11:10 - 11:40

• Speaker: Xiao-Liang Cheng and Zheng-Fang Zhang (Zhejiang University)
• Title: Interface Moving Algorithms for Eigenvalue Optimization Problems

11:40 - 11:50. Discussions

11:50 - 12:30. Lunch

12:30 - 1:00

• Speaker: Zhongming Wang (UC San Diego)
• Title: A Level-Set Variational Implicit-Solvent Approach to Biomolecular Solvation

1:00 - 1:10. Discussions

1:10 - 1:40

• Speaker: Liu Qing (Zhejiang University)
• Title: The Flame Simulation of a Premixed Turbulent by Semi-Lagrangian Particle Level Set Method

1:40 - 1:50. Discussions

1:50 - 2:10

• Speakers: Bo Li and Zhongming Wang (UC San Diego)
• Title: Solutions to a Reduced Poisson-Nernst-Planck System and Determination of Reaction Rates

2:10 - 2:30

• Speaker: Li Shishun (Zhejiang University)
• Title: Two-Grid Method for Linear and Some Nonlinear Nonsymmetric Ellptic Systems

2:30 - 2:50

• Speaker: Zhou Shenggao (Zhejiang University)
• Title: A fourth-Order Numerical Method for One-Dimensional Nonlinear Helmholtz Eqaution with Discontinuous Coefficient

2:50 - 3:10

• Speaker: Yuan Daming (Zhejiang University)
• Title: A Level Set Method for Bilateral Obstacle Problems

3:10 - 4:00. Free presentations/More discussions

4:00. Adjourn

For more information, please contact the organizers.