Displaying similar documents to “On the stability of numerical methods for nonlinear Volterra integral equations.”

A Numerical Approach of the sentinel method for distributed parameter systems

Aboubakari Traore, Benjamin Mampassi, Bisso Saley (2007)

Open Mathematics

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In this paper we consider the problem of detecting pollution in some non linear parabolic systems using the sentinel method. For this purpose we develop and analyze a new approach to the discretization which pays careful attention to the stability of the solution. To illustrate convergence properties we give some numerical results that present good properties and show new ways for building discrete sentinels.