We analyze the stability of convolution quadrature methods for weakly singular Volterra integral equations with respect to a linear test equation. We prove that the asymptotic behavior of the numerical solution replicates the one of the continuous problem under some restriction on the stepsize. Numerical examples illustrate the theoretical results.
Stability of Numerical Solutions for Abel–Volterra Integral Equations of the Second Kind / Izzo, G.; Messina, E.; Vecchio, A.. - In: MEDITERRANEAN JOURNAL OF MATHEMATICS. - ISSN 1660-5446. - 15:3(2018). [10.1007/s00009-018-1149-1]
Stability of Numerical Solutions for Abel–Volterra Integral Equations of the Second Kind
Izzo, G.
;Messina, E.;
2018
Abstract
We analyze the stability of convolution quadrature methods for weakly singular Volterra integral equations with respect to a linear test equation. We prove that the asymptotic behavior of the numerical solution replicates the one of the continuous problem under some restriction on the stepsize. Numerical examples illustrate the theoretical results.File in questo prodotto:
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