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Convergence Aspects of Step-Parallel Iteration of Runge-Kutta Methods for Delay Differential Equations

✍ Scribed by Xiaohua Ding; Mingzhu Liu


Book ID
110412648
Publisher
Springer Netherlands
Year
2002
Tongue
English
Weight
149 KB
Volume
42
Category
Article
ISSN
0006-3835

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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