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Article #673

Automatic Time Step for an ODE

#673
From: engrand
Date: Thu, 05 Nov 1992 11:05
26 lines
1423 bytes
Hi there,
I just got the news here, so I don't if I can post, and, if I can, whether my question
has already been asked.

Anyway,

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'm interested in this problem for a general ODE first. I'd like to see
all that can be done , to be able to choose, then, which method is the most adapted
to my specific problem which is a stiff ODE.
Actually, it's a parabolic PDE (neutronic diffusion equations) on which
we apply finite volumes (or finite differences) to end up
with a time dependant system of ODE.


I'm interested in getting some references in the litterature.
I haven't heard on any book dealing with this problem (but I haven't looked
very hard) ; is there any ?

Thanks in advamce for answering,
Phil.
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From: engrand@clt13vf.der.edf.fr
Newsgroups: sci.math.num-analysis
Subject: Automatic Time Step for an ODE
Keywords: Time Step, ODE, methods
Message-ID: <1992Nov5.110534.15386@edf.fr>
Date: 5 Nov 92 11:05:34 GMT
Sender: engrand@clt13vf ()
Organization: EDF Direction des Etudes et Recherches
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