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Article #1104

Re: Numerical solution of ODEs with Bulirsch-Stoer extrapolation

#1104
From: Dennis Harry
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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From: dharry@cyclone.rice.edu (Dennis Harry)
Subject: Re: Numerical solution of ODEs with Bulirsch-Stoer extrapolation
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References: <1993Jan20.024502.23189@leland.Stanford.EDU> <1993Jan20.054301.455@seas.smu.edu>
Date: Tue, 26 Jan 1993 18:54:14 GMT
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