Re: how to solve a interval ODE that sensitive to initial value?? > as we know , some non-linear function will be sensitive to initial value.
> 
> for example , y\\' =f(y,t)     y0=[y0_min , y0_max]
> the interval at the t_end will be very large so the result will be meaningless
> ,right?

Since you included my talk, I should respond, too.

First, I second Wayne's response.

Second, you might consult the work of Martin Berz and his COSY Infinity
system.  He tracks particle trajectories in accelerators through many
revolutions to validate the stability of the accelerator.

Dr. George F. Corliss
Electrical and Computer Engineering
Marquette University
PO Box 1881 
1515 W. Wisconsin Ave.
Milwaukee WI 53201-1881 USA
414-288-6599; Fax: 288-5579; Dept. 288-6280
Office: Haggerty Engineering 296
George.Corliss@Marquette.edu



