Re: need references for Runge-Kutta versus Multi-step ...

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#1102

From: Mike Hosea
Date: Tue, 26 Jan 1993 16:33

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In article <1993Jan25.180439.26879@fys.ruu.nl> walsteyn@fys.ruu.nl (Fred Walsteijn) writes:
>Dear colleagues,
>
>I am looking for some recent references comparing
>the efficiencies of Runge-Kutta and Multistep methods.
>...                
>Can you give me some references where the efficiencies
>of those schemes are compared thoroughly ?
>

I have just written a paper with Larry Shampine on theoretical efficiency
comparisons of Runge-Kutta, multistep, and extrapolation methods.  As you
know, efficiency comparisons are ordinarily carried out as numerical case
studies, but these can be misleading because they are based on particular
implementations of the methods and a small set of test problems.  The 
method we present for theoretical efficiency comparisons overcomes these
concerns.  The paper has been submitted for publication, but you can get
the report version immediately.  Send me email at the address above or
at mhosea@sun.cis.smu.edu and ask for the SMU Math report #92-9

  Efficiency Comparisons of Methods for Integrating ODEs,

  by M.E. Hosea and L.F. Shampine.

-- 
Regards,
Mike Hosea (mhosea@seas.smu.edu)

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Path: arc1-ca.pugleaf.net!sparky!uunet!seas.smu.edu!mhosea
From: mhosea@seas.smu.edu (Mike Hosea)
Subject: Re: need references for Runge-Kutta versus Multi-step ...
Message-ID: <1993Jan26.163310.8637@seas.smu.edu>
Keywords: Runge, Kutta, multistep, efficiency, ODE, PDE
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References: <1993Jan25.180439.26879@fys.ruu.nl>
Date: Tue, 26 Jan 1993 16:33:10 GMT
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