🚀 go-pugleaf

In article <1992Nov5.110534.15386@edf.fr> engrand@clt13vf.der.edf.fr writes:
>
>I'm studying different methods to automatically change the size of a time step
>when solving a time-dependant ODE. Automatically means that the code should
>know when it has to use a larger or smaller time step, 
>according to what happens to the sytem. 
>
>I haven't heard on any book dealing with this problem (but I haven't looked
>very hard) ; is there any ?

All modern mathematical software for solving general ODE initial value problems 
control the step size automatically, though some require that you supply the
initial step size.  I don't know of any books written solely on this subject,
but you may wish to consult the relevant sections of

_Solving_Ordinary_Differential_Equations_I_, by Hairer, Norsett, and Wanner

_Solving_Ordinary_Differential_Equations_II_, by Hairer, and Wanner.

The first volume addresses nonstiff problems and the second stiff problems.
There should be enough references in those texts to get you started in the
literature.
-- 
Regards,
Mike Hosea (mhosea@seas.smu.edu)