I'm not sure if this belongs into "general" questions,
but its not advanced-users-pov-stuff either, and
not purely off-topc for POV...

I've been hearing a lot about Forward Euler,
Implicit Euler, Runge-Kutta, second- and
third-order terms and what not.

I have no clue what all those are. I do know
that Euler is the most simplest animation process
every one takes, by simply using the algorithms/functions
and moving them one step ahead.
Now, Runge-Kutta and "what not"s are supposed
to keep systems more stable. Anyone have any
reference, links, what ever, for me to get some
more insight, or care to explain it to me?

I did find something about Mid-point Runge-Kutta,
though I'm not yet fully sure that I've understood
it properly.

So, any programmers/mathematiciens out there?

--
Tim Nikias
Homepage: http://www.digitaltwilight.de/no_lights/index.html
Email: Tim### [at] gmxde

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Tim Nikias wrote:
> 
> I'm not sure if this belongs into "general" questions,
> but its not advanced-users-pov-stuff either, and
> not purely off-topc for POV...
> 
> I've been hearing a lot about Forward Euler,
> Implicit Euler, Runge-Kutta, second- and
> third-order terms and what not.
> 
> I have no clue what all those are. 
> [...]

To understand it you need some background information about differential
equations and numerical mathematics.  You probably could use such
algorithms without knowing the whole math behind, but for understanding
some knowledge is definitely required.  Any general book about higher
mathematics should contain a bit on that matter but there are also a lot
more specialized books too.

Some links from searching on google for runge kutta:

http://nacphy.physics.orst.edu/ComPhys/DIFFEQ/mydif2/node1.html
http://www.sst.ph.ic.ac.uk/angus/Lectures/compphys/node2.html
http://www.learn-line.nrw.de/angebote/modell/runge.htm
http://www.myphysicslab.com/what_diff_eq.html

Christoph


-- 
POV-Ray tutorials, IsoWood include,                 
TransSkin and more: http://www.tu-bs.de/~y0013390/  
Last updated 05 May. 2002 _____./\/^>_*_<^\/\.______

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Thanks, I'll tackle my way through those links.

Christoph Hormann wrote:

> Tim Nikias wrote:
> >
> > I'm not sure if this belongs into "general" questions,
> > but its not advanced-users-pov-stuff either, and
> > not purely off-topc for POV...
> >
> > I've been hearing a lot about Forward Euler,
> > Implicit Euler, Runge-Kutta, second- and
> > third-order terms and what not.
> >
> > I have no clue what all those are.
> > [...]
>
> To understand it you need some background information about differential
> equations and numerical mathematics.  You probably could use such
> algorithms without knowing the whole math behind, but for understanding
> some knowledge is definitely required.  Any general book about higher
> mathematics should contain a bit on that matter but there are also a lot
> more specialized books too.
>
> Some links from searching on google for runge kutta:
>
> http://nacphy.physics.orst.edu/ComPhys/DIFFEQ/mydif2/node1.html
> http://www.sst.ph.ic.ac.uk/angus/Lectures/compphys/node2.html
> http://www.learn-line.nrw.de/angebote/modell/runge.htm
> http://www.myphysicslab.com/what_diff_eq.html
>
> Christoph
>

--
Tim Nikias
Homepage: http://www.digitaltwilight.de/no_lights/index.html
Email: Tim### [at] gmxde

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Hm. Flicking through the german (3rd link) I found a really helpful
explanation with enough images to actually visualize whats going
on.

Thank you very much!

(Now lets see where I can actually use the new knowledge...)

Christoph Hormann wrote:

> Some links from searching on google for runge kutta:
>
> http://nacphy.physics.orst.edu/ComPhys/DIFFEQ/mydif2/node1.html
> http://www.sst.ph.ic.ac.uk/angus/Lectures/compphys/node2.html
> http://www.learn-line.nrw.de/angebote/modell/runge.htm
> http://www.myphysicslab.com/what_diff_eq.html
>
> Christoph

--
Tim Nikias
Homepage: http://www.digitaltwilight.de/no_lights/index.html
Email: Tim### [at] gmxde

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