Runge-Kutta Theory for Volterra Integral Equations of the Second Kind
- 1 July 1982
- journal article
- Published by JSTOR in Mathematics of Computation
- Vol. 39 (159) , 147-163
- https://doi.org/10.2307/2007625
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 Beĺtyukov.Keywords
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