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
Conditions for the coefficients of Runge-Kutta methods for systems of n-th order differential equations
โ Scribed by H.-M. Hebsaker
- Publisher
- Elsevier Science
- Year
- 1982
- Tongue
- English
- Weight
- 772 KB
- Volume
- 8
- Category
- Article
- ISSN
- 0377-0427
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๐ SIMILAR VOLUMES
A sufficient condition of stability of exponential Runge-Kutta methods for delay differential equations is obtained. Furthermore, a relationship between P-stability and GP-stability is established. It is proved that the numerical methods can preserve the analytical stability for a class of test prob
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