一种用于仿真病态系统的连分式外推算法

A Continued Fraction Extrapolation Algorithm for Stiff System Simulations

  • 摘要: 本文给出一种求解病态方程的连分式外推算法,并对算法的稳定性进行了讨论,证明在三次以内的连分式外推下,方法具有A-稳定.另外,文中给出一种处理间断问题的方法.

     

    Abstract: In this paper,we present a continued fraction extrapolation algorithm for stiffsystem simulations,and also discuss the stability of the algorithm.It is concluded thatthe algorithm is A-stable within three extrapolating orders.Finally,the paper gives amethod for dealing with discontinuity problems.

     

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