对stiff和高振荡常微分方程组的数值解一文的改善

AN IMPROVEMENT ON NUMERICAL INTEGRATIONS FOR STIFF AND HIGHLY OSCILLATORY DIFFERENTIAL-EQUATIONS

本文利用求解 sliff 常微分方程组只计算函数值的一类 L-稳定显式单步法的结果,针对 stiff 和高振荡微分方程组提出一种改善的数值积分公式,并且讨论了它的 L-稳定性和收敛性,以及局部和整体截断误差的估计.

Using results a class of L-stable explicit one step method only requiring the evaluation of function f(x,y)for solving stiff systems of ordinary defferential equations,an improvement on numerical integration for stiff and highly oscillatory differential equations is suggested in this paper.Its L-stabilty and convergence are discussed.A bound for the local and global truncation error is obtained respectively.