Semi-implicit Runge.Kutta Method for Solving Stiff Ordinary Differential Equations  

作　　者：LONGYongxing MOUZongze DONGJiaqi ZHAOHuaiguo 

出　　处：《Southwestern Institute of Physics Annual Report》2003年第1期125-126,共2页核工业西南物理研究院年报（英文版）

摘　　要：Runge-Kutta method is widely applied to solve the initial value problem of ordinary differential equations. The implicitRunge-Kutta with better numerical stability for the numerical integration of stiff differential systems,but the formulate has traditionally been on solving the nonlinear equations resulting from a modified Newton iteration in every time.Semi-implicit formulate have the major computationally advantage that it is necessary to solve only linear systems of algebraic equations to find the Ka.

关 键 词：半隐式 刚性常微分方程 计算机代码 龙格-库塔方法 精确解 

分 类 号：O175.1[理学—数学] O241.81[理学—基础数学]