Approximation Methods for Inverse Problems Governed by Nonlinear Parabolic Systems

نویسندگان

  • H. T. Banks
  • C. J. Musante
چکیده

We present a rigorous theoretical framework for approximation of nonlinear parabolic systems with delays in the context of inverse least squares problems. Convergence of approximate optimal parameters and that of forward solutions in the context of semidiscrete Galerkin schemes are given. Sample numerical results demonstrating the convergence are given for a model of dioxin uptake and elimination in a distributed liver model that is a special case of the general theoretical framework.

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تاریخ انتشار 1999