[std-interval] Re: applications in space science

Mihály Csaba Markót markot at sztaki.hu
Thu Aug 17 13:23:07 PDT 2006


Dear Colleagues,

I would like to add some comments to the discussion as a Technical 
Officer of the mentioned study: (The T.O. title means that I represented 
the ESA side which awarded a research contract in this subject.)

- The study was intended to be a very initial assessment of the 
applicability of interval ODE solvers for special space flight problems. 
Because of the short contract period (4 months) I did not expect any 
particularly detailed results.

- The numerical results indeed proved that the tested existing 
general-purpose, "off-the-shelf" interval solvers are not comparable 
with non-interval ones in term of the time of propagation, due to the 
overestimation. Nothing really surprising...

- Note that the study was done by a team which has primary focus on 
space research and had less previous expertize with interval tools. 
Unfortunately, I was not successful with my plan to award a parallel 
contract also to a primarily interval-oriented team. This way I got a 
report on "what happens in some simple scenarios", but nothing on "why 
the interval solvers fail so earlier" and "how to improve/tune these 
solvers to achieve better results".

- All in all, I still find this study as a good "ammunition" - not 
because of the achieved results but because we pointed out the need of 
reliable methods in this field and made some initial contacts with the 
space science community - in the hope of further collaborations.

Regards,
Mihaly

-- 
Dr. Mihaly Csaba Markot
Computer and Automation Research Institute
Hungarian Academy of Sciences
Phone: +36 1 279 6112, Fax: +36 1 209 5267

----------------------------- Original message -----------------------------
Subject:   Re: [std-interval] FW: applications
Sent by:  "Lawrence Crowl" <lawrence.crowl at gmail.com>
Date:   Thu, August 17, 2006 12:24 am
Address: "For discussions concerning the C++ standardization of 
intervals" <std-interval at compgeom.poly.edu>
--------------------------------------------------------------------------

I'm not an expert in the domain, but my read of the conclusions
is that the interval approach wasn't helpful.  Apparently, the
integration process failed far earlier than non-interval integration.
How are we interpreting the conclusions differently?

On 8/15/06, George Corliss <George.Corliss at marquette.edu> wrote:
 > > Friends,
 > >
 > > Ned Neddialkov had sent this pointer which may be of interest to 
this list
 > > for use as "ammunition" that intervals are good.
 > >
 > > ------ Forwarded Message
 >> > > From: Ned Nedialkov <nedialk at mcmaster.ca>
 >> > > Date: Thu, 27 Jul 2006 13:45:01 -0400
 >> > > Subject: applications
 >> > >
 >> > > I discovered recently a very thorough study of applications of
 >> > > interval methods, in particular integration, to space flight 
mechanics:
 > > 
http://www.esa.int/gsp/ACT/doc/ACT-RPT-04-4105-ARIADNA-Assessing_the_Accurac
 > > y_of_Interval_arithmetic_Estimates.pdf
 > >
 > > ------ End of Forwarded Message
 > >
 > > The ESA Technical Officer, Mihaly Markot, was a student of Tibor 
Tsendes.
 > >
 > >
 > > Dr. George Corliss
 > > Electrical and Computer Engineering
 > > Marquette University
 > > P.O. Box 1881
 > > 1515 W. Wisconsin Ave.
 > > Milwaukee, WI 53201-1881
 > > George.Corliss at Marquette.edu
 > > 414-288-6599 (office); 288-4400 (GasDay);
 > >     288-6280 (Dept.); 288-5579 (fax)
 > > Office: Haggerty Engineering 296
 > > Www.eng.mu.edu/corlissg
 > >
 > >
 > > _______________________________________________
 > > Std-interval mailing list
 > > Std-interval at compgeom.poly.edu
 > > http://compgeom.poly.edu/mailman/listinfo/std-interval
 > >


-- Lawrence Crowl _______________________________________________ 
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