离散速度动力学方程组的数值方法研究 Ⅰ.半隐式差分格式  

ON THE NUMERICAL METHODS FOR THE DISCRETE-VELOCITY KINETIC EQUATIONS Ⅰ. SEMI-IMPLICIT DIFFERENCE SCHEMES

作　　者：汤华中[1] 邬华谟[1] 

机构地区：[1]中国科学院数学与系统科学研究院

出　　处：《计算数学》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

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.

关 键 词：离散速度动力学方程组 数值法 半隐式差分格式 

分 类 号：O241[理学—计算数学]