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.
2018
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]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11588/727631
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