Details

Autor(en) / Beteiligte

• Izzo, G.
• Messina, E.
• Vecchio, A.

Titel

Stability of Numerical Solutions for Abel–Volterra Integral Equations of the Second Kind

Ist Teil von

• Mediterranean journal of mathematics, 2018-06, Vol.15 (3), p.1-14, Article 113

Ort / Verlag

Cham: Springer International Publishing

Erscheinungsjahr

2018

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• 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.