ON THE NUMERICAL METHOD FOR SOLVING STIFF ORDINARY DIFFERENTIAL EQUATIONS
关于求解Stiff常微分方程的数值方法

C. W. Gear deduced stiffly stable methods of orders 1 to 6~1] based on the differen-tial method to solve stiff ordinary differential equations. In this paper a class of stifflystable LMMs of orders 1 to 7 is given. Under the assumption of the same accuracy, ithas larger absolute stability region than that of Gear's method and thus is suitable forsolving initial value problems of stiff ordinary differential equations.