In this paper, the asymptotic behaviour of the numerical solution to the Volterra integralequations is studied. In particular, a technique based on an appropriate splitting of the kernel isintroduced, which allows one to obtain vanishing asymptotic (transient) behaviour in the numericalsolution, consistently with the properties of the analytical solution, without having to operaterestrictions on the integration steplength
Analysis of the Transient Behaviour in the Numerical Solution of Volterra Integral Equations
Vecchio A
2021
Abstract
In this paper, the asymptotic behaviour of the numerical solution to the Volterra integralequations is studied. In particular, a technique based on an appropriate splitting of the kernel isintroduced, which allows one to obtain vanishing asymptotic (transient) behaviour in the numericalsolution, consistently with the properties of the analytical solution, without having to operaterestrictions on the integration steplengthFile in questo prodotto:
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