Analysis of requirements of physical realism and computational performance for mathematical models, used in liquid cargo handling simulators is presented. Depth of physical modelling, necessary to satisfy the requirements, is considered. Approaches to composition of mathematical models are outlined. Component-based approach with “RanD Model Designer” visual modelling software is described. Comp...

Cellular Automata are being applied as a method for mathematical modelling and simulation in a variety of scientific areas. Usually a cellular automaton constitutes a microscopic description or abstraction of a natural system. The tools used for a mathematical derivation and validation of the cellular automaton modelling approach are however often optimised for specific natural systems. As a co...

In the last few decades, there have been abundant discussions among mathematicians and mathematics educators on promoting mathematical modelling (a process of using mathematics to tackle real world problems) as a classroom practice. Mathematics educators and curriculum planners have been advocating the teaching of mathematical modelling in schools for some time now. Despite the consensus on its...

Due to the inaccessibility of the inner ear, direct in vivo information on cochlear mechanics is difficult to obtain. Mathematical modelling is a promising way to provide insight into the physiology and pathology of the cochlea. Finite element method (FEM) is one of the most popular discrete mathematical modelling techniques, mainly used in engineering that has been increasingly used to model t...

In this paper a new four-parameter lifetime distribution named “the Exponentiated gompertz-poisson (E-GP) distribution” has been suggested that it has a decreasing, increasing, bathtub-shaped and inverse bathtub-shape for modeling lifetime data. The Exponentiated gompertz-poisson has applications in economics, actuarial modelling,reliability modeling, lifetime and queuing problems and biologica...