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Scientific article
English

Runge-Kutta Theory for Volterra Integral Equations of the Second Kind

Published inMathematics of computation, vol. 39, no. 159, p. 147-163
Publication date1982
Abstract

The present paper develops the theory of general Runge-Kutta methods for Volterra integral equations of the second kind. The order conditions are derived by using the theory of P-series, which for our problem reduces to the theory of V-series. These results are then applied to two special classes of Runge-Kutta methods introduced by Pouzet and by Bel'tyukov.

Affiliation Not a UNIGE publication
Citation (ISO format)
BRUNNER, Hermann, HAIRER, Ernst, NORSETT, Syvert Paul. Runge-Kutta Theory for Volterra Integral Equations of the Second Kind. In: Mathematics of computation, 1982, vol. 39, n° 159, p. 147–163.
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  • PID : unige:12456
ISSN of the journal0025-5718
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