Scientific article
English

On the Stability of Volterra-Runge-Kutta Methods

Published inSIAM journal on numerical analysis, vol. 21, no. 1, p. 123-135
Publication date1984
Abstract

We investigate the stability of extended Runge-Kutta methods for Volterra integral equations of the second kind. As test equations we choose linear convolution equations with positive definite L^1-kernel. Our results are strongly connected with the contractivity of Runge-Kutta methods for nonlinear dissipative differential equations.

Affiliation entities Not a UNIGE publication
Citation (ISO format)
HAIRER, Ernst, LUBICH, Christian. On the Stability of Volterra-Runge-Kutta Methods. In: SIAM journal on numerical analysis, 1984, vol. 21, n° 1, p. 123–135.
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Article (Published version)
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Identifiers
  • PID : unige:12461
Additional URL for this publicationhttp://www.jstor.org/stable/2157050
Journal ISSN0036-1429
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