Parametric and non-parametric tests for trend detection in time series data are described. These include Rao's efficient score and Kendall's S-score test statistics.

An explicit finite difference scheme for the numerical solution of the diffusion equation on a rectangular region, subject to a non-local boundary condition in the form of a double integral which simulates the specificaion of mass in a curved region is developed. The scheme, is based on the...

We will consider the use of block elimination for the calculation of generalized turning and bifurcation points for two point B.V.P.'s. It will be shown that such algorithm will reduce the amount of work required in terms of LU-factorizations to minimal. Since the discretization error of the...

This is an example of simulation optimization by genetic search. We compare a new technique, genetic search, to two old techniques the pattern search and the response surface method search. The pattern search uses the Hooke–Jeeves algorithm and the response surface method search uses the...

A new method for nonlinear system identification, based on the technique of Interpolated Mapping, is formulated. The input to the procedure is a map, taking initial conditions on a regular grid to their images after a fixed time step. It is assumed that the underlying dynamics evolves in...

A numerical technique for solving the discontinuous injection space-charge problem is described. This technique is based upon the hodographic method studied by Budd and Wheeler. In order to avoid the difficulties introduced by the vanishing charge density the domain is split into two subdomains...

This paper presents a comparative study of four optimisation algorithms based on simulated annealing: the Gibbs Sampler, the Metropolis algorithm, the Iterated Conditional Modes, and an original method of random descent proposed by the authors. Comparison criteria that have been chosen are the...

Supervision systems aim to provide operators with help to interpret the actual behaviour of the process in order that they can watch it over more efficiently. They are not conceived so as to replace completely the humans in charge of the plant, but rather to detect early abnormal situations and...

We develop computational mechanisms for intelligently simulating nonlinear control systems. These mechanisms enhance numerical simulations with deep domain knowledge of dynamical systems theory and control theory, a qualitative phase-space representation of dynamical systems, symbolic and...

This paper presents an operational definition of the concept of qualitative reasoning and some key methodological features which can help us to implement it in some business management situations. We show that we can model any qualitative reasoning process as the behavior of an ordinal and...