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Re: [Bug-gsl] [bug #30540] please, add convergence checks in rk4imp/rk2i

From: Sergey B Kirpichev
Subject: Re: [Bug-gsl] [bug #30540] please, add convergence checks in rk4imp/rk2imp
Date: Sat, 4 Sep 2010 16:28:32 +0400

On 9/4/10, Tuomo Keskitalo <address@hidden> wrote:
>  Thanks for the link. That is a special code meant for second order ODEs.
> Apparently your case requires precise solution, and therefore you should
> modify the Newton iteration code if you want to use GSL for your problem.
> However, I think your case is special. At least I do not know of a generally
> accepted all-purpose tolerance for the Newton iteration.

I just want to use, e.g. the implicit RK method of order 2 (midpoint
rule) and rely on the proved properties of the stepper function
(symmetric, symplectic).  Either the method shouldn't be named
"rk2imp".  Hope, this opinion is clear enough.

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