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Volume 4, Issue 4
A Third Order Small Parameter Method and Its Nordsieck Expression

Tian-Min Han

J. Comp. Math., 4 (1986), pp. 315-321.

Published online: 1986-04

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  • Abstract

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.

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@Article{JCM-4-315, author = {Tian-Min Han}, title = {A Third Order Small Parameter Method and Its Nordsieck Expression}, journal = {Journal of Computational Mathematics}, year = {1986}, volume = {4}, number = {4}, pages = {315--321}, abstract = {

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.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9593.html} }
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.

Tian-Min Han. (1986). A Third Order Small Parameter Method and Its Nordsieck Expression. Journal of Computational Mathematics. 4 (4). 315-321. doi:
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