Linear stability of general linear methods for systems of neutral delay differential equations |
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Authors: | Chengming Huang and Qianshun Chang |
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Institution: | Institute of Applied Mathematics The Chinese Academy of Sciences P.O. Box 2734, Beijing, 100080, P.R. China |
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Abstract: | This paper is concerned with the numerical solution of delay differential equations (DDEs). We focus on the stability of general linear methods for systems of neutral DDEs with multiple delays. A type of interpolation procedure is considered for general linear methods. Linear stability properties of general linear methods with this interpolation procedure are investigated. Many extant results are unified. |
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Keywords: | Neutral delay differential equation Stability General linear methods |
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