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Article #1104Re: Numerical solution of ODEs with Bulirsch-Stoer extrapolation
From: Dennis Harry
Date: Tue, 26 Jan 1993 18:54
Date: Tue, 26 Jan 1993 18:54
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In article <1993Jan20.054301.455@seas.smu.edu>, mhosea@seas.smu.edu (Mike Hosea) writes:
|> The reason extrapolation methods get very accurate results with large step
|> sizes is because they can use very high order approximations. However,
|> my research has shown that when compared to conventional Runge-Kutta
|> and Adams methods of the same order, the extrapolation formulas are not
|> as efficient in terms of function evaluations per unit step.
^^^^^^^^^^^^^
Yes, but the point is that they may take much larger steps. Ideally,
their relative inefficiency per unit step is (more than) offset by having
to take fewer steps?
-- Dennis Harry (dharry@rice.edu)
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Newsgroups: sci.math.num-analysis Path: arc1-ca.pugleaf.net!sparky!uunet!charon.amdahl.com!pacbell.com!decwrl!ames!agate!spool.mu.edu!howland.reston.ans.net!usc!cs.utexas.edu!newsfeed.rice.edu!rice!cyclone.rice.edu!dharry From: dharry@cyclone.rice.edu (Dennis Harry) Subject: Re: Numerical solution of ODEs with Bulirsch-Stoer extrapolation Message-ID: <C1H5uF.5HC@rice.edu> Sender: news@rice.edu (News) Organization: Rice University References: <1993Jan20.024502.23189@leland.Stanford.EDU> <1993Jan20.054301.455@seas.smu.edu> Date: Tue, 26 Jan 1993 18:54:14 GMT Lines: 13