单支方法的非线性稳定性和B－收敛性

NONLINEAR STABILITY AND B-CONVERGENCE OF ONE-LEG METHODG

讨论单支方法求解Ｂａｎｎｃｈ空间非线性ｓｔｉｆｆ初值问题类Ｋ１和Ｋ１时的非线性稳定性和Ｂ－收２敛性．对系数满足适当条件的一类单支方法，分析了其非线性稳定性，并证明了其最佳Ｂ一收敛阶等于其经典相容阶．

This paper deals with nonlinear stability and B-convergence of one leg methods when applied to nonlinear stiff initial value problems in Banach spaces.For a class of one leg methods,estimates of error growth are obtained. Accordinglg,it is proved that the order of optimal B-convergence equals the classical order.