In this chapter we present some of the aspects of the interface between mathematics and its applications, the so-called mathematical modeling. This is neither mathematics nor applied mathematics and is usually performed by scientists and engineers. We do this in the context of linear algebra, which allows easy comparison between direct and inverse problems.We also show some of the modeling stages and encourage the use of a least-squares method. An application to the study of flow in a porous medium is presented. Some key issues pertaining to the use of models in practical situations are discussed.
KeywordsPorous Medium Input Signal Output Signal Permeability Tensor Model Characterization
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