RE: [Algorithms] runge Kutta

[Jeff L. <je...@da...>]

Instead of numerical recipes, I would suggest either of both of:

Numerical Algorithms in C by Engeln, Mullges, Uhlig

Numerical Methods by Faires and Burden.

Both cover many types of integrators that are decribed well and have sample code.

Also, the example code on my website http://www.darwin3d.com/gdm1999.htm#gdm0899 has a mass and spring system that implements Euler, Midpoint, RK4, and a Crenshaw integrator that is second order predictor-corrector.  In my opinion, the Crenshaw integrator is the best option for particle systems.  It gives you stability beyond midpoint at a cost about equal to Euler.  The only thing you need to do is track your force from the previous step.

-Jeff

At 09:21 PM 8/25/2001 -0500, you wrote:
>Specifically I am not clear about how you approximate the derivatives. I can
>see where the coefficients come from, the Taylor series but my results are
>all screwy because my derivative approximations are wrong.
>
>-----Original Message-----
>From: gda...@li...
>[mailto:gda...@li...]On Behalf Of
>Christopher Husband
>
>
>Idahosa,
>
>I have written an RKF ODE solver before and might be able to help with
>specific questions if you have any.  If you have access to Matlab, it
>might be of some assistence to attempt you're algorithm there first, so
>that the matrix and vector math is taken care of.  Plus Matlab has
>plenty of 'ode??' functions that you can compare yours to.
>
>Chris
>
>On Sat, 25 Aug 2001, Idahosa Edokpayi wrote:
>
> > I understand the basic idea of Runge Kutta solvers but my attempts to
> > implement them have failed miserably. Can anyone help?
> >
> > Idahosa Edokpayi
> >
> >
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