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

From: Tuomo Keskitalo
Subject: Re: [Help-gsl] references for rk4imp and gear2 in version 1.13
Date: Sun, 10 Dec 2017 19:23:33 +0200
User-agent: Mozilla/5.0 (X11; Linux x86_64; rv:52.0) Gecko/20100101 Thunderbird/52.5.0


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.


On 10.12.2017 13:48, Halasz Gabor wrote:

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,


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