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.
A sufficient condition for the stability of direct quadrature methods for Volterra integral equations / Messina, Eleonora; Vecchio, Antonia. - In: NUMERICAL ALGORITHMS. - ISSN 1017-1398. - 74:4(2017), pp. 1223-1236. [10.1007/s11075-016-0193-9]
A sufficient condition for the stability of direct quadrature methods for Volterra integral equations
MESSINA, ELEONORA;
2017
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.File in questo prodotto:
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