学术报告

鞠立力学术报告

阅读次数:1496

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.

联系我们

    电话:86-21-65981384

    地址:上海市四平路1239号 致远楼

Copyright © 2018  同济大学数学科学学院 版权所有.