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devel / comp.lang.fortran / Re: Bulirsch–Stoer vs Runge-Kutta

Re: Bulirsch–Stoer vs Runge-Kutta

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Subject: Re:_Bulirsch–Stoer_vs_Runge-Kutta
From: robin.vowels@gmail.com (Robin Vowels)
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by: Robin Vowels - Thu, 1 Sep 2022 09:42 UTC

On Thursday, March 3, 2011 at 9:26:29 AM UTC+11, dcar...@gmail.com wrote:
> Hello,
> I hope you'll forgive a completely non-Fortran question. I have been
> unable to find useful information with Google. Does anyone know an
> online reference that explains when Runge-Kutta is the best way to
> solve an ODE and when the Bulirsch–Stoer works best?
> All I can find is pages explaining how they work, but nothing that
> compares them.
..
The algorithm Bulirsch–Stoer if far more complicated than Runge-Kutta.
Look in Numerical Recipes in C for the former.

Re: Bulirsch–Stoer vs Runge-Kutta

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From: nospam@nowhere.org (Ron Shepard)
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by: Ron Shepard - Thu, 1 Sep 2022 14:12 UTC

On 9/1/22 4:42 AM, Robin Vowels wrote:
> On Thursday, March 3, 2011 at 9:26:29 AM UTC+11, dcar...@gmail.com wrote:
>> Hello,
>> I hope you'll forgive a completely non-Fortran question. I have been
>> unable to find useful information with Google. Does anyone know an
>> online reference that explains when Runge-Kutta is the best way to
>> solve an ODE and when the Bulirsch–Stoer works best?
>> All I can find is pages explaining how they work, but nothing that
>> compares them.
> .
> The algorithm Bulirsch–Stoer if far more complicated than Runge-Kutta.
> Look in Numerical Recipes in C for the former.

I remember reading about Bulirsch–Stoer in Numerical Recipes (the first
edition in fortran, not the C version a decade later). The authors were
big proponents of the method.

$.02 -Ron Shepard

Subject	Author
Re: Bulirsch–Stoer vs Runge-Kutta	Robin Vowels
Re: Bulirsch–Stoer vs Runge-Kutta	Ron Shepard