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Wenjun Ying(应文俊)

Wenjun Ying

Distinguished Research Fellow

Phone:
(86-21) 54745849
Office:
503
Email:
wying@sjtu.edu.cn
Homepage:
http://www.math.sjtu.edu.cn/faculty/wying

Brief Introduction

Ying Wenjun, distinguished research fellow; bachelor of Tsinghua University, doctorate and post-doctorate of Duke University, and the tenure-track assistant professor of Michigan Technological University. He has put forward the computational method of spatial-temporal adaptation for the analogue simulation of heart transmission in electrocardiac wave, which has reached the internationally advanced level. The method can be applied in the hydromechanics (such as supersonic flight simulation), or other important science and engineering problems in mathematical biology. In the case of the simulation of electrocardiac wave transmission, he has proposed the full –implicit temporal integral method for the reaction-diffusion equation. And on the studies of the impact of biological cells on electrical field stimulation, he has proposed the method of hybrid finite element, which significantly improved the computation precision and efficiency. He proposed the nucleus-free boundary integral method as to partial differential equation of elliptic type, which has overcome several limitations of traditional boundary integral method. Researchers can use the nucleus-free boundary integral method without needing to know the analytic expression of integral kernel. The method has extended the boundary integral method to the partial differential equation of solvable coefficient and anisotropy. He has won the funding of NSF in 2009 for his studies on the nucleus-free boundary integral method. He was sponsored by the national 1000 talent plan in 2011.

Research Interests:

The general areas of Ying’s interests include scientific computing, modeling/simulation and numerical methods for mathematical problems arising from science and engineering applications, such as mathematical biology, computational electro-physiology and computational fluid dynamics. Dr. Ying has made intensive studies on space-time adaptive mesh refinement algorithms for hyperbolic conservation laws and singularly perturbed reaction-diffusion equations, Cartesian grid methods for elliptic and parabolic boundary/interface problems, fast multipole algorithms accelerated boundary integral methods, and composite backward differentiation formulas (CBDFs) for initial value problems. Currently Dr. Ying is working on development of the Cartesian grid method based adaptive mesh refinement for time-dependent problems, applications of the Cartesian method for free boundary and moving interface problems, including fluid-structure interaction problems, as well as parallelization of the algorithms.

Selected Publications