Stability of the difference type methods for linear Volterra equations in Hilbert spaces

Authors:
Xu Da
Affiliations:
Hunan Normal University, Department of Mathematics, 410081, Changsha, Hunan, People’s Republic of China
Venue:
Numerische Mathematik
Year:
2008

Citing 0
Cited 2

The numerical analysis on a Volterra equation with asymptotically periodic solution

Journal of Computational and Applied Mathematics
Uniform $l^1$ Behavior of a Time Discretization Method for a Volterra Integrodifferential Equation with Convex Kernel; Stability

SIAM Journal on Numerical Analysis

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Abstract

We study the stability of backward difference timestepping method for linear Volterra equations of scalar type in a Hilbert space framework. The results and methods extend and simulate numerically those introduced by Prüss for integrability with respect to continuous solutions.