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Volume 20, Issue 2
Asymptotic Stability for Gauss Methods for Neutral Delay Differential Equations

Birama Sory Sidibe & Ming-Zhu Liu

J. Comp. Math., 20 (2002), pp. 217-224.

Published online: 2002-04

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  • Abstract

In [4] we proved that all Gauss methods are $N \tau (0)$-compatible for neutral delay differential equations (NDDEs) of the form:
image.png

where $a, b, c$ are real, $\tau ＞0, g(t)$ is a continuous real valued function. In this paper we are going to use the theory of order stars to characterize the asymptotic stability properties of Gauss methods for NDDEs. And then proved that all Gauss methods are $N\tau(0)-$stable.

  • Keywords

Delay differential equations, Stability, Runge-Kutta methods.

  • AMS Subject Headings

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JCM-20-217, author = {Sidibe , Birama Sory and Liu , Ming-Zhu}, title = {Asymptotic Stability for Gauss Methods for Neutral Delay Differential Equations}, journal = {Journal of Computational Mathematics}, year = {2002}, volume = {20}, number = {2}, pages = {217--224}, abstract = {

In [4] we proved that all Gauss methods are $N \tau (0)$-compatible for neutral delay differential equations (NDDEs) of the form:
image.png

where $a, b, c$ are real, $\tau ＞0, g(t)$ is a continuous real valued function. In this paper we are going to use the theory of order stars to characterize the asymptotic stability properties of Gauss methods for NDDEs. And then proved that all Gauss methods are $N\tau(0)-$stable.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8912.html} }
TY - JOUR T1 - Asymptotic Stability for Gauss Methods for Neutral Delay Differential Equations AU - Sidibe , Birama Sory AU - Liu , Ming-Zhu JO - Journal of Computational Mathematics VL - 2 SP - 217 EP - 224 PY - 2002 DA - 2002/04 SN - 20 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/8912.html KW - Delay differential equations, Stability, Runge-Kutta methods. AB -

In [4] we proved that all Gauss methods are $N \tau (0)$-compatible for neutral delay differential equations (NDDEs) of the form:
image.png

where $a, b, c$ are real, $\tau ＞0, g(t)$ is a continuous real valued function. In this paper we are going to use the theory of order stars to characterize the asymptotic stability properties of Gauss methods for NDDEs. And then proved that all Gauss methods are $N\tau(0)-$stable.

Sidibe , Birama Sory and Liu , Ming-Zhu. (2002). Asymptotic Stability for Gauss Methods for Neutral Delay Differential Equations. Journal of Computational Mathematics. 20 (2). 217-224. doi:
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