**
Integrating Experimental Data and Mathematical Models in the Simulation of Physical Systems**

Boris A. Zeldin and Andrew J. Meade, Jr.,

Submitted to *AIAA Journal*, 1996.

**Keywords:**:
experimental data analysis, mathematical models, response
surface, artificial neural networks, Tikhonov regularization.

**Abstract**:
A method is developed for integrating experimental data and mathematical models
so that a comprehensive description of a physical system can be constructed for
engineering analysis. The computational requirements of the method can be modest
depending on the computational complexity of the associated mathematical models.
Using a feedforward artificial neural network architecture, numerical examples
involving the extrapolation of a physical system response at unmeasured
coordinates and processing of noisy experimental measurements demonstrate the
utility of the method.

This work was supported under Office of Naval Research grant N00014-95-1-0741.