【摘要】 B-收敛和D-收敛的概念被推广到了变时滞微分代数方程问题,给出了D_A-收敛的定义,讨论了该类问题的D_A-收敛性,并给出了相应的误差估计,证明了如果G-稳定的单支方法对于常微分方程初值问题在经典意义下是p阶相容的且(βκ/ακ)>0,那么具有线性插值过程的该方法是p阶D_A-收敛的,这里p=1或2。更多还原

【Abstract】 This paper extends B-convergence and D-convergence to a class of variable retarded dif- ferential algebraic equations and puts forward DA-convergence.Furthermore,D_A-convergence of the problem is discussed and its error estimation is given.Finally,it is proved that a One- Leg method with linear interpolation procedure is DA-convergent of order p if it is G-stable and consistent of order p for ordinary differential equations andβκ/ακ>0,here p=l or 2.更多还原