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科学研究
RESEARCH
Higher Order Energy Stable ETD Based Methods for Gradient Flows
时间  Datetime
2019-08-11 14:00 — 15:00
地点  Venue
Zoom APP(2)()
报告人  Speaker
Xiaoming Wang
单位  Affiliation
Southern University of Science and Technology
邀请人  Host
谢春景
备注  remarks
Zoom Meeting ID: 970-577-37564 Password: 971666
报告摘要  Abstract

Many natural and engineering problems follow gradient flow structures in the sense that systems evolve to decrease certain energy. The dynamics of most of these gradient systems are complicated and hence numerical methods are called for. There are at least two desirable features for numerical algorithms for gradient flows with long evolution process: efficient higher order in time, and long-time stability. We present a class of efficient higher-order energy stable methods for a class of gradient flows based on the exponential time differencing (ETD) method combined with multi-step methods and interpolation. As a specific example, we present a third order ETD based scheme for thin film epitaxial growth model together with numerical results establishing the convergence and stability of the scheme, and the ability of the scheme to capture long-time scaling properties of the system.