A sufficient condition for the stability of direct quadrature methods for Volterra integral equations

Author:

Messina Eleonora,Vecchio Antonia

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics

Reference20 articles.

1. Baker, C.: A perspective on the numerical treatment of Volterra equations. Numerical analysis 2000, vol. vi, ordinary differential equations and integral equations. J. Comput. Appl. Math. 125(1–2), 217–249 (2000). doi: 10.1016/S0377-0427(00)00470-2

2. Brunner, H., van der Houwen, P.: The numerical solution of Volterra equations. North-Holland (1986)

3. Burton, T.: Volterra integral and differential equations. Elsevier B. V., Amsterdam (2005)

4. Cardone, A., Messina, E., Vecchio, A.: An adaptive method for Volterra-Fredholm integral equations on the half line. J. Comput. Appl. Math. 228 (2), 538–547 (2009). doi: 10.1016/j.cam.2008.03.036

5. Eggermont, P., Lubich, C.: Uniform error estimates of operational quadrature methods for nonlinear convolution equations on the half-line. Math. Comp 56(193), 149–176 (1991). doi: 10.2307/2008535

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