Re: [Help-gsl] references for rk4imp and gear2 in version 1.13

[Tuomo Keskitalo]

Hi,

for rk4imp I suggest this reference:

Ascher, U.M., Petzold, L.R., Computer methods for ordinary
   differential and differential-algebraic equations, SIAM,
   Philadelphia, 1998. ISBN 0898714125, 9780898714128

I think those old Gear methods are based on this reference:

Gear, C.W., Numerical Initial Value Problems in Ordinary Differential 
Equations, 1971.

However, I guess you really don't want to use those old deprecated 
ode-initval methods. Instead, please updgrade to GSL version 2.4, use 
ode-initval2, and try e.g. msbdf or bsimp methods, if your ODE system is 
stiff.

BR,
Tuomo

On 10.12.2017 13:48, Halasz Gabor wrote:
> Hello,
>
> I have a problem with finding proper references and descriptions for some 
> methods I have used for solving ODEs with GSL version 1.13.
> For the stepping functions gear1(2) the info page and the manuals only contain 
> the following simple description: M=1(2) implicit Gear method.
>
> I am especially interested in methods rk4imp and gear2 as all the other 
> available ones in version 1.13  was not working properly for my ODEs.
>
> Best regards,
> Gábor


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