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Partial Differential Equations & Applied Math: "Numerical Methods for Reaction-Diffusion Equations and the Application in Computational Biology"

Dr. Weitao Chen, UC Riverside

Wednesday, November 22, 2017
  1:10–2 p.m.

Location: Surge Building 268
  Parking Information

Category: Seminar

Description: Reaction-diffusion equations have wide applications in natural and engineering sciences. The efficiency of numerical methods for these equations is often limited by the severe stability conditions due to diffusion and stiff reactions, as well as the curse of dimensionality for equations in high-dimensional spaces. We developed a numerical method to improve the efficiency by relaxing stability constraints, coupled with sparse grid technique, for solving reaction-diffusion equations in high dimensions. I will also introduce its application in modeling a complex biological system, the macropatterning in mouse tongue, to understand the robustness strategies in pattern formation on a growing tissue. 

Additional Information: Math Seminars

Open to: General Public
Admission: Free
Sponsor: Mathematics

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