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From: Merciadri Luca on 22 Feb 2010 12:27
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Hi,

As stated in the title, I am given a non-linear, instable and stiff
DOE system of 5 equations. I use an appropriate MATLAB solver to solve
it (for `t', the time), which returns `t' and `y' (`y' being a n * 5
matrix). In each column of the 5 cols. of `y', I would like to know
when an equilibrium point has been found, without needing to plot the
system. I had already thought about two different ideas to achieve
this:

1. Either compute |y(p, 1) - y(p-1, 1)|, where p lies in a subset of
[1,n] (i.e. p begins at one line of the `y' matrix, e.g. the 2nd
line), e.g. at least [2,n];

2. Or use an Analysis criterion such as the `Linear stability test.'

I want to use the fastest method, and here are my questions:

a. Is the strategy I am adopting (i.e. checking convergence for each
[of the 5] column of y) the good one?

b. Is there an Analysis criterion such as the `Linear stability test'
for my system? (I think that the linear stability test only applies to
one linear ODE.)

Rem.: by `linear stability test,' I mean what is stated at

http://www.ugrad.math.ubc.ca/coursedoc/math101/notes/moreApps/stability.html.

Thanks.
- --
Merciadri Luca
See http://www.student.montefiore.ulg.ac.be/~merciadri/
- --

It's a good horse that never stumbles.
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