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鞠立力学术报告
发表时间:2018-01-21 阅读次数:64次
题目:Stabilized Compact Exponential Time Differencing Methods for Gradient Flow Problems and Scalable Implementation
报告人:鞠立力 教授(南卡罗莱纳大学)
时间:2018年1月21日14:00-15:00
地点:致远楼101室
摘要:In this talk, we will present stabilized compact exponential time differencing methods (ETD) for numerical 
solutions of a family of gradient flow problems, which have wide applications in materials science, fluid 
dynamics and biological researches. These problems often form a special class of parabolic equations of 
different orders with high nonlinearity and stiffness, thus are often very hard to solve efficiently and robustly 
over large space and time scales. The proposed methods achieve efficiency, accuracy and provable energy 
stability under large time stepping by combining linear operator splittings, compact discretizations of spatial 
operators, exponential time integrators, multistep or Runge-Kutta approximations and fast Fourier transform. 
We will also discuss the corresponding localized ETD methods based on domain decomposition, which are 
highly scalable and therefore very suitable for parallel computing. Various numerical experiments are carried 
out to demonstrate superior performance of the proposed methods, including extreme scale phase field 
simulations of coarsening dynamics on the Sunway TaihuLight supercomputer.
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