Computational MIRCE-Mechanics
The underlying laws necessary for the theoretical description of the motion of functionability in time are known for most systems. However, the exact application of these laws, to even a single component system, leads to equations that are too complicated to be solved analytically. These types of problems are not specifically related to the Mirce Mechanics; they are common to all scientific disciplines of this nature. It is a known mathematical fact that the integral equations do not have analytical solutions. Consequently, the aim of Computational Mirce Mechanics, CMM, is the development of effective computational methods that will enable construction of models that accurately represent the observed reality of a system life, rather than to simplify system reality to cope with mathematical limitations. This will in return provide more accurate predictions of the motion of functionability through the life of the systems allowing better decisions to be made with regard to what actions should be taken and when in order to maximise system performance and minimise required resources. The Monte Carlo method, originated in the field of quantum mechanics, has proved very successful at finding practical numeric solutions to these complicated, multi-dimensional integral equations. With continuous increases in computer capacity and speed the Monte Carlo method becomes even more feasible for the applications of the Mirce Mechanics to multi-component, multi-process-based, time-dependent real systems. However, like all good scientists we have an open mind and will investigate any ideas that may lead to better methods and solutions utilising all branches of mathematics and science available to make more accurate predictions. |