Stability analysis of numerical methods for delay differential equations
β Scribed by K. J. In't Hout; M. N. Spijker
- Publisher
- Springer-Verlag
- Year
- 1991
- Tongue
- English
- Weight
- 366 KB
- Volume
- 59
- Category
- Article
- ISSN
- 0029-599X
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π SIMILAR VOLUMES
Step-by-step method
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
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