Dissipativity of Linear 0-Methods for Integro-Differential Equations

This paper is concerned with the analytic and numerical dissipativity of nonlinear integro-differential equations (IDEs). A dissipativity criteria for IDEs is given. It is shown that any A-stable linear 0-method for the systems is dissipative. Numerical examples are given to confirm the theoretical results. © 2006 Elsevier Ltd. All rights reserved.

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