Article ID Journal Published Year Pages File Type
4642552 Journal of Computational and Applied Mathematics 2007 10 Pages PDF
Abstract

This paper deals with the analytic and numerical dissipativity of nonlinear Volterra delay-integro-differential equations (VDIDEs). A dissipativity criteria for VDIDEs is given. We investigate the dissipativity properties of one-leg θθ-methods and linear θθ-methods for the underlying systems. It is shown that, for θ∈[12,1], any one-leg θθ-method and linear θθ-method can inherit the dissipativity of the underlying systems.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
Authors
,