Abstract
The stability and convergence properties of two time discretizations of an integro-differential equation of parabolic type are studied. The methods reduce to the backward-Euler and Crank–Nicolson methods if the integral term is absent. The integral term is approximated in each case by a quadrature rule with relatively high-order truncation error, so that a relatively large time step can be used for the quadrature, in order to reduce the memory and computational requirements of the method.
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