Stability Analysis of Runge-Kutta Methods for Non-Linear Delay Differential Equations
β Scribed by Huang Chengming; Fu Hongyuan; Li Shoufu; Chen Guangnan
- Book ID
- 110418714
- Publisher
- Springer Netherlands
- Year
- 1999
- Tongue
- English
- Weight
- 191 KB
- Volume
- 39
- Category
- Article
- ISSN
- 0006-3835
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π SIMILAR VOLUMES
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Stability of IMEX (implicit-explicit) Runge-Kutta methods applied to delay differential equations (DDEs) is studied on the basis of the scalar test equation du/dt = u(t) + u(t -), where is a constant delay and , are complex parameters. More specifically, P-stability regions of the methods are define
We investigate stability properties of two-step Runge-Kutta methods with respect to the linear test equation y'(t) = ay(t) + by(t -T), t > O, where a and b are complex parameters. It is known that the solution y(t) to this equation tends to zero as t --~ oc if Ibl < -Re(a). We will show that under
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