For inverting a given matrix An×n with numerical and/or symbolic entries the Gaussian Row Operations (GRO) method has been widely applied. One problem with this approach is that the necessary GRO must be performed on an augmented matrix of order n×2n. We present a new method using the standard...

A new statistic is devised for the important practical problem of monitoring the dilution of contaminant concentrations that result when a quantify of contaminant is suddenly released in environmental flows. The advantage of this approach is that both theoretical prediction and experimental...

Scheduling problems deal with the assignment of tasks, over time, to processors, so as to optimize a performance criterion, while satisfying a set of given constraints. In this paper a comprehensive survey of the major results in this area is presented. Specifically, a unified formulation of...

The inverse problem of the discretization for a linear system is solved. It is shown that an nth-order discrete system can always be “continuized” by a minimal real system of order between n and 2n. Applications to Lyapunov equations equivalence and certain interpolation methods are given....

A finite-element Galerkin technique, with Taylor approximation and Crank—Nicolson, is used to provide a computer simulation of the cellular convection patterns of an urban heat island. An attempt is made to simulate, within the constraints of a computer model, the observed physics of the urban...

This paper shows how simulation can be used to quickly solve an otherwise complex mathematical problem of derivation of the optimum value distribution function in stochastic mathematical programs. Two software packages (LINDO and UNIFIT II) are used along with a FORTRAN code in simulating and...