Summary
Implicit Runge-Kutta methods for ordinary differential equations which arise from interpolatory quadrature formulae are generalized to Volterra integral equations of the second kind. Two classes of methods are considered and shown to be convergent and numerically stable. In addition, for various choices of quadrature formulae the methods areA-stable and stifflyA-stable.
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de Hoog, F., Weiss, R. Implicit Runge-Kutta methods for second kind Volterra integral equations. Numer. Math. 23, 199–213 (1974). https://doi.org/10.1007/BF01400303
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DOI: https://doi.org/10.1007/BF01400303