Stability of Runge-Kutta methods for linear delay differential equations |
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Authors: | S Maset |
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Institution: | (1) Università di Trieste, Piazzale Europa 1, 34127 Trieste, Italy; e-mail: maset@univ.trieste.it, IT |
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Abstract: | Summary. This paper investigates the stability of Runge-Kutta methods when they are applied to the complex linear scalar delay differential
equation . This kind of stability is called stability. We give a characterization of stable Runge-Kutta methods and then we prove that implicit Euler method is stable.
Received November 3, 1998 / Revised version received March 23, 1999 / Published online July 12, 2000 |
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Keywords: | Mathematics Subject Classification (1991): 65L05 |
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