Natural Continuous Extensions of Runge-Kutta methods for Volterra integrodifferential equations

Author:

Vermiglio R.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics

Reference17 articles.

1. Baker, C.T.H.: Initial value problems for Volterra integrodifferential equations. In: Modern numerical methods for ordinary differential equations (G. Hall, J. Watt, eds.), pp. 296?307. Oxford: Clarendon Press 1976

2. Baker, C.T.H., Makroglou, A., Short, E.: Regions of stability in the numerical treatment of Volterra integro-differential equations. SIAM J. Numer. Anal.16, 890?910 (1979)

3. Bellen, A.: Constrained mesh methods for functional differential equations. ISNM74, 52?70 (1985)

4. Bellen, A., Jackiewicz, Z., Vermiglio, R., Zennaro, M.: Natural continuous extensions of Runge-Kutta methods for Volterra integral equations of second kind and their applications. (preprint)

5. Bellen, A., Zennaro, M.: Stability properties of interpolants for Runge-Kutta methods. SIAM J. Numer. Anal. (to appear)

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