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

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.