摘要
This paper is to study the numerical approximations of the discrete-velocity kinetic equations (DVKE). We analyze the nonlinear stability, such as TV stability, L stability, for the semi-implicit difference schemes applied to DVKEs. Furthermore, the numerical entropy condition for a special difference scheme is also considered.
This paper is to study the numerical approximations of the discrete-velocity kinetic equations (DVKE). We analyze the nonlinear stability, such as TV stability, L stability, for the semi-implicit difference schemes applied to DVKEs. Furthermore, the numerical entropy condition for a special difference scheme is also considered.
出处
《计算数学》
CSCD
北大核心
2000年第2期183-190,共8页
Mathematica Numerica Sinica
基金
国家自然科学基金
北京计算物理实验室资助项目
关键词
离散速度动力学方程组
数值法
半隐式差分格式
Finite difference method, nonlinear stability, numerical entropy condition, discrete-velocity kinetic equations
