Census enumerations are usually packaged in irregularly shaped geographical regions. Interior values can be interpolated for such regions, without specification of “control points,” by using an analogy to elliptical partial differential equations. A solution procedure is suggested, using finite difference methods with classical boundary conditions. In order to estimate densities, an additional nonnegativity condition is required. Smooth contour maps, which satisfy the volume preserving and nonnegativity constraints, illustrate the method using actual geographical data. It is suggested that the procedure may be used to convert observations from one bureaucratic partitioning of a geographical area to another.

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Smooth Pycnophylactic Interpolation for Geographical Regions

Identification of PV solar cells and modules parameters using the genetic algorithms: Application to maximum power extraction

The marketing problem of determining the optimal timing of advertising expenditures over a finite planning horizon in a duopoly conflict situation is portrayed as a non-zero-sum differential game. Advertising expenditures are determined which optimize multiobjective performance indices in a Nash equilibrium sense. The dynamics of the market are described by utilizing an extension of the Vidale-Wolfe model of the sales response to advertising. A numerical algorithm is used to solve the model.

Sherwood P. Prawel

Papers

Modern methods of engineering computation

Modern Methods of Engineering Computation.