摘要
本文讨论了一类具有参数μ的修正的BDF方法,该方法具有较好的数值稳定性,而且精度在Gear方法的基础上提高了一阶。文中给出了方法收敛的充分条件。最后的数值试验表明方法有较好的数值结果。
In this paper, a class of modified BDF methods (MBDF) with a
parameter μ is proposed. It has improved the numerical stability of Gear
method, and the order of k-step MBDF method is one larger than that
of k-step Gear method. The sufficient conditions for the convergence of
such formulae are presented. Numerical experiments are maken and they
show good results.
