Abstract
Within the theoretical framework of the numerical stability analysis for the Volterra integral equations, we consider a new class of test problems and we study the long-time behavior of the numerical solution obtained by direct quadrature methods as a function of the stepsize. Furthermore, we analyze how the numerical solution responds to certain perturbations in the kernel.
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Messina, E., Vecchio, A. A sufficient condition for the stability of direct quadrature methods for Volterra integral equations. Numer Algor 74, 1223–1236 (2017). https://doi.org/10.1007/s11075-016-0193-9
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DOI: https://doi.org/10.1007/s11075-016-0193-9