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

Ch. Lubich

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Source: Crossref

Published: Jan 1, 1983

DOI: 10.1090/s0025-5718-1983-0701626-6

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Source 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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Runge-Kutta theory for Volterra and Abel integral equations of the second kind — Mathematical Frontier Network