Model guided numerical approximations to nonequilibrium models

Prof. Qi Wang

http://people.math.sc.edu/wangq/

Computational Nanoscience and Mathematical Modeling Laboratory (CNMML)

Department of Mathematics, Interdisciplinary Mathematics Institute and NanoCenter at USC
University of South Carolina
Columbia, SC 29208

Email: qwang@math.sc.edu

Abstract: Recently, we have developed a general framework to design efficient numerical schemes for nonequilibrium models, based on the fundamental structure of the mathematical models. This is based on a simple energy quadratization technique rooted in Onsager`s linear response theory for general nonequilibrium thermodynamics. In this talk, I will review the Onsager principle for nonequilibrium theories and then present a few examples in which unconditionally stable energy stable schemes are developed. Numerical examples will be presented to illustrate the effectiveness of the schemes.