Was wondering if anyone can enlighten me on what people research, when they study classical mechanics & chaos theory? Simple systems? many particle systems? do they code?
Well you are talking about Picard's iteration method,and similar things!marlon said:For starters, they try to find out the solutions (well, properties and the behaviour of those solutions without actually acquiring the mathematical expression for the solution) of differential equations without actually solving the diff equations. I had an intro course on this in my second year at the university.
Yes, i once studied the application of numerical calculus in meteorology. More specifically the contribution of Lorentz. This was just an example, in my course, of how this stuff can be used in real life. Look at page 9 and chapter 1.4 of this sitearildno said:If I remember correctly, the mathematical study of chaos was brought into the forefront of applied maths when it was pointed out that a typical set of diff.eqs. used in meteorology was inherently chaotic.
Meteorology is a field dominated by classical physics modelling (and no discernible improvement would be found if you were to try a QM or relativistic approach).