MAT 8104 Advanced Low-Dimensional Modelling of Complex Systems

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RATIONALE:

Most physical situations and complex systems of interest in the world around us have an enormous number of fine details which are of little concern in many situations. The practical equations which scientists deal with are simplifications of the "true" but intractable or overly-complicated equations that describe all the fine detail. Just one example is the derivation of a numerical model for simulation. The process of creating simple model approximations for otherwise intractably detailed dynamical descriptions, sometimes called dimensional reduction, is addressed in this Course.

SYNOPSIS:

This course flexibly combines aspects of modern dynamical systems theory with numerical techniques, fluid dynamics and other application areas. We develop how to derive relatively simple dynamical models in the application of the techniques to important classes of applications. The principles of the modelling process that are developed apply universally to any evolving system. The triple aim is to explore: algebraic techniques; general modelling principles; and application areas. This course is normally offered only in even years.

TEXT and MATERIALS required to be PURCHASED or accessed:

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