TY - JOUR T1 - A Third Order Small Parameter Method and Its Nordsieck Expression AU - Tian-Min Han JO - Journal of Computational Mathematics VL - 4 SP - 315 EP - 321 PY - 1986 DA - 1986/04 SN - 4 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9593.html KW - AB -

A third order small parameter method and its Nordsieck expression are given in this paper. It is based on Gear's method of order 2 and order 3. For moderate stiff problems this method is suitable.
In [1] we proposed a second order numerical method for stiff ODEs. The purpose of this paper is to raise the order from 2 to 3 and give its Nordsieck expression, making it automatically suit varying stepsize calculation.