Runge-Kutta theory for Volterra integral equations of the second kind
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- by H. Brunner, E. Hairer and S. P. Nørsett PDF
- Math. Comp. 39 (1982), 147-163 Request permission
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.References
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Additional Information
- © Copyright 1982 American Mathematical Society
- Journal: Math. Comp. 39 (1982), 147-163
- MSC: Primary 65R20
- DOI: https://doi.org/10.1090/S0025-5718-1982-0658219-8
- MathSciNet review: 658219