We analyse the numerical approximation, by product integration rules, of Abel-Volterra integral equations of the second kind over long-time intervals. We study the stability with respect to a new class of non-parametric test equations and we investigate how the analytical and the numerical solution respond to certain perturbations in the kernel. This analysis extends to weakly singular equations the results obtained for regular kernels in continuous and discrete equations.
Stability of numerical solutions to Abel-Volterra integral equations of the second kind / Messina, E.; Garrappa, R.; Vecchio, A.. - (2016). (Intervento presentato al convegno SIMAI2016 tenutosi a Politecnico di Milano nel September 13-16, 2016).
Stability of numerical solutions to Abel-Volterra integral equations of the second kind
E. Messina;
2016
Abstract
We analyse the numerical approximation, by product integration rules, of Abel-Volterra integral equations of the second kind over long-time intervals. We study the stability with respect to a new class of non-parametric test equations and we investigate how the analytical and the numerical solution respond to certain perturbations in the kernel. This analysis extends to weakly singular equations the results obtained for regular kernels in continuous and discrete equations.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
