some stability and convergence of additive runge-kutta methods for delay differential equations with many delays
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ID: 183255
2012
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Abstract
This paper is devoted to the stability and convergence analysis of the additive Runge-Kutta methods with the Lagrangian interpolation (ARKLMs) for the numerical solution of a delay differential equation with many delays. GDN stability and D-Convergence are introduced and proved. It is shown that strongly algebraically stability gives D-Convergence DA, DAS, and ASI stability give GDN stability. Some examples are given in the end of this paper which confirms our results.
| Reference Key |
yuan2012journalsome
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|---|---|
| Authors | ;Haiyan Yuan;Jingjun Zhao;Yang Xu |
| Journal | Chemico-biological interactions |
| Year | 2012 |
| DOI |
10.1155/2012/456814
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| URL | |
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