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Volume 4, Issue 4
On a Class of Non-Linear Methods for Ordinary Differential Equations

Geng Sun & Zu-Fan Mao

J. Comp. Math., 4 (1986), pp. 354-361.

Published online: 1986-04

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  • Abstract

In this paper, a class of non-linear methods proposed in [1] is discussed. A new derivation of the methods is given. The analysis based on the new derivation shows that this class of methods is not suitable for stiff problems. The numerical tests support our argument.

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@Article{JCM-4-354, author = {Geng Sun and Zu-Fan Mao}, title = {On a Class of Non-Linear Methods for Ordinary Differential Equations}, journal = {Journal of Computational Mathematics}, year = {1986}, volume = {4}, number = {4}, pages = {354--361}, abstract = {

In this paper, a class of non-linear methods proposed in [1] is discussed. A new derivation of the methods is given. The analysis based on the new derivation shows that this class of methods is not suitable for stiff problems. The numerical tests support our argument.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9598.html} }
TY - JOUR T1 - On a Class of Non-Linear Methods for Ordinary Differential Equations AU - Geng Sun & Zu-Fan Mao JO - Journal of Computational Mathematics VL - 4 SP - 354 EP - 361 PY - 1986 DA - 1986/04 SN - 4 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9598.html KW - AB -

In this paper, a class of non-linear methods proposed in [1] is discussed. A new derivation of the methods is given. The analysis based on the new derivation shows that this class of methods is not suitable for stiff problems. The numerical tests support our argument.

Geng Sun and Zu-Fan Mao. (1986). On a Class of Non-Linear Methods for Ordinary Differential Equations. Journal of Computational Mathematics. 4 (4). 354-361. doi:
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