This paper provides some reflections on the field of mathematical software on the occasion of John Rice’s 65th birthday. I describe some of the common themes of research in this field and recall some significant events in its evolution. Finally, I raise a number of issues that are of concern...

There are some problems in the multitarget tracking using multisensor data association with the conventional non-Bayesian or Bayesian method. In addition to some specific limitations of priori condition, such an association could not perform well under a high clutter tracking environment. This...

Despite popular belief the motion of a crowd is governed by well-defined rules of behaviour. These rules imply a set of coupled, non-linear, partial differential equations for the density and velocity potential for each type of pedestrian in the crowd. As may be expected, the solution of these...

A competitive implicit finite-difference method will be developed and used for the solution of a non-linear mathematical model associated with the administration of highly-active chemotherapy to an HIV-infected population aimed at delaying progression to disease. The model, which assumes a...

In order to solve the double-talk problem in the echo cancelling for teleconference system, the authors have proposed the extended correlation least mean squares (ECLMS) algorithm. However, this algorithm does not give a fast convergence. The purpose of this paper is to derive an orthogonal...

This paper describes a new specific blackboard expert system to simulate and automate the design of high recirculation airlift reactors. The research work described aims to bring about savings in construction and running costs by automating the design process and removing unnecessary...

The layout problem arises in a production plant during the study of a new production system, but also during a possible restructuring. The main aim of layout design is to reduce transportation and maintenance, which simplifies management, shortens lead time, improves product quality and speeds...

We use tools from algebraic topology to show that a class of structural differential equations may be represented combinatorially, and thus, by a computer data structure. In particular, every differential k-form may be represented by a formal k-cochain over a cellular structure that we call a...

This talk treats the industrial application of computer-algebra simulation (CALS). CALS is a combination of symbolic and numeric methods, which is very well suited for efficient solving of complex problems. Because it is an innovative ‘hybrid’ technique, completely new ways open up for...

The behavioral approach provides a mathematical language for the modelling of systems, particularly dynamical systems. An introduction to behaviors is given, with emphasis to interconnected systems. This is viewed as consisting of modules, combined with an interconnection architecture. The...