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Stability analysis of exponential Runge–Kutta methods for delay differential equations

✍ Scribed by Y. Xu; J.J. Zhao; Z.N. Sui

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
625 KB
Volume
24
Category
Article
ISSN
0893-9659

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✦ Synopsis

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 problems.

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