一类A－稳定或L－稳定的经济隐式单块法  

A CLASS OF A-STABLE OR L-STABLE ECONOMICAL IMPLICIT SINGLE-BLOCK METHODS

作　　者：赵双锁[1] 张国凤[1] 

机构地区：[1]兰州大学数学系

出　　处：《计算数学》1995年第3期260-270,共11页Mathematica Numerica Sinica

基　　金：国家自然科学基金;甘肃省自然科学基金

摘　　要：一类Ａ－稳定或Ｌ－稳定的经济隐式单块法赵双锁，张国凤（兰州大学数学系）ＡＣＬＡＳＳＯＦＡ－ＳＴＡＢＬＥＯＲＬ－ＳＴＡＢＬＥＥＣＯＮＯＭＩＣＡＬＩＭＰＬＩＣＩＴＳＩＮＧＬＥ－ＢＬＯＣＫＭＥＴＨＯＤＳ￥ＺｈａｏＳｈｕａｎｇ－ｓｕｏ；ＺｈａｎｇＧｕｏ－ｆｅ...Abstract This paper presents a class of implicit A-stable or L-stable r-point r th order single-block methods for solving initial value problems of stiff ODEs, which requires the same amount of computation work as the linear r-step method. Numerical examples and analyses indicate that it is suitable for solving stiff initial value problems, at least when requirement of accuracy is not too high, or workload of computation of the right function f is less than that of the inverse of the matrix.

关 键 词：A稳定 L稳定 隐式单块法 常微分方程 

分 类 号：O241.81[理学—计算数学]