The numerical analysis on a Volterra equation with asymptotically periodic solution

Authors:
Da Xu
Affiliations:
-
Venue:
Journal of Computational and Applied Mathematics
Year:
2011

Citing 3
Cited 0

Convolution quadrature and discretized operational calculus I.

Numerische Mathematik
Uniform $l^{1}$ Behavior for Time Discretization of a Volterra Equation with Completely Monotonic Kernel II: Convergence

SIAM Journal on Numerical Analysis
Stability of the difference type methods for linear Volterra equations in Hilbert spaces

Numerische Mathematik

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Abstract

We consider order one operational quadrature methods on a certain integro-differential equation of Volterra type on (0,~), with piecewise linear convolution kernels. The forms of discretization solution are patterned after a continuous one of Hannsgen (1979) [2]. An l^1 remainder stability and an error bound are derived.