摘要
其中y和f的维数为l,u和g的维数为m.假定函数f和g具有如下要求的连续导数且矩阵g_y(y)f_u(t,y,u)具有有界逆矩阵,即存在M>0,使‖(g_y(y)f_u(t,y,u))^(-1)‖≤M.
In this paper, a class of numerical algorithms for the problem in a differential algebraic system is constructed. The errors of the algorithms are estimated, and the correction scheme is given for these errors. The stability analysis is made for a model problem and the stability regions are given. The numerical example demonstrates that the algorithms are efficient.
出处
《计算数学》
CSCD
北大核心
1994年第1期47-58,共12页
Mathematica Numerica Sinica