| Biography | |
|---|---|
 Prof. Jianying Zhang Western Washington University, USA |
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| Title: Mesh-free numerical approaches to nonlinear PDE systems | |
| Abstract: In this talk, I will give an overview of various mesh-based and mesh-free numerical methods widely adopted to solve nonlinear PDE systems arising from fluid mechanics, bioengineering and other related scientific disciplines. Plenty of examples will be demonstrated for illustrative purposes. The main focus will be on some recent research development on radial basis function (RBF) and method of fundamental solutions (MFS) mesh-free methods for a nonlinear Navier-Stokes system modeling non-Newtonian fluid flows and a nonlinear convection-reaction-diffusion system modeling pattern formation in developmental biology. Performance comparison between mesh-based and mesh-free methods will be emphasized, which motivates several on-going research projects to be addressed in the end. | |
| Biography: Jianying Zhang is an applied mathematician, with her B.S. and M.S. from Tsinghua University, Beijing, China, and Ph.D. from University of California, Santa Barbara. She has been a core participant of IPAM long-term program “Mathematics in Nanoscale Sciences and Engineering” at Institute for Pure and Applied Mathematics (IPAM), University of California, Los Angeles. Then held a PIMS/MITACS postdoctoral fellowship, at Pacific Institute for Mathematical Sciences (PIMS), University of British Columbia, Canada, where her research focus was on computational fluid mechanics, specified in non-Newtonian fluid flows. She is currently a faculty member in the department of mathematics at Western Washington University, USA. Her research interests include numerical partial differential equations, simulation of complex fluid flows and mathematical biology. Her major contributions can be found in Journal of Fluid Mechanics, Computer Methods in Applied Mechanics and Engineering, International Journal for Numerical Methods in Fluids, Numerical Methods for PDEs, Nonlinearity, the Bulletin of Mathematical Biology as well as International Journal of Bifurcation and Chaos. Meanwhile, she has presented and served as organizing committee member at various international conferences. | |
