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Stability analysis of delay-differential equations by the method of steps and inverse Laplace transform

✍ Scribed by Tamás Kalmár-Nagy

Book ID
107668177
Publisher
Springer-Verlag
Year
2009
Tongue
English
Weight
389 KB
Volume
17
Category
Article
ISSN
0971-3514

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Stability analysis of two-step Runge-Kut
Stability analysis of two-step Runge-Kutta methods for delay differential equations
✍ Z. Bartoszewski; Z. Jackiewicz 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 540 KB

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