## COSC 3418.03
Simulation of Continuous Systems

Section M Winter Thu 19:00-22:00

This is an Atkinson course. Students may complete this course for Arts or
Science credit. It may have an examination time which is not posted in the
regular examination schedule.

Simulation is a technique for dealing with problems
that do not admit exact (or "analytic") solutions via
mathematical analysis. A model of the system to be
studied is constructed, and then the model is run to see
how it performs, either to predict how the system will
behave, or, if the behaviour of the system is known, to
test the validity of the model of the system. A
computer is a tool for supporting a large amount of
activity in the running of the model.
A "continuous system" may either be presumed to be
inherently continuous or it may, at a fine enough scale,
be actually composed of discrete events. However, in
simulation, a "continuous system" is one for which the
model, due to practical necessity, is described by
continuous variables regardless of its physical structure.
However, the running of a continuous model involves,
also of necessity, discrete steps. Thus central to
continuous system simulation is the problem of
approximation. (For simulation of discrete systems see
COSC 3408.03)

Examples of continuous systems studied by simulation
include dynamic systems involving very fine variations
or large populations. Major sub-topics include chaotic
behaviour, the numerical solution of differential
equations by finite methods, and related issues of
stability and errors.

**Texts:** t.b.a.

**Prerequisites:** general
prerequisites; MATH2560.03.