Runge-Kutta theory for Volterra and Abel integral equations of the second kind

Lubich, Ch.

doi:10.1090/S0025-5718-1983-0701626-6

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Runge-Kutta theory for Volterra and Abel integral equations of the second kind

Author: Ch. Lubich
Journal: Math. Comp. 41 (1983), 87-102
MSC: Primary 65R20
MathSciNet review: 701626
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Abstract: The present paper develops the local theory of general Runge-Kutta methods for a broad class of weakly singular and regular Volterra integral equations of the second kind. Further, the smoothness properties of the exact solutions of such equations are investigated.

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