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Error in the documentation


From: Vitor de Oliveira
Subject: Error in the documentation
Date: Thu, 4 Jan 2024 12:35:44 +0000

Dear Sir or Madam,

I donĀ“t know to which address I should send this information, but I believe
there is an error in GSL's documentation.

In the Ordinary Differential Equations chapter, it is written that one of
the methods for numerical integration is the explicit embedded Runge-Kutta
Prince-Dormand (8, 9) method (link
<https://www.gnu.org/software/gsl/doc/html/ode-initval.html#c.gsl_odeiv2_step_type.gsl_odeiv2_step_rk8pd>).
However, the highest-order method by these authors is the (7, 8), which is
presented at "Prince, Peter J., and John R. Dormand. High order embedded
Runge-Kutta formulae. Journal of computational and applied mathematics 7.1
(1981): 67-75.".

I took a look at the rk8pd.c file and the method is indeed the (7, 8).
Moreover, the above reference is also given as a comment in said file.

I tried to contact the author, Gerard Jungman, but I got no reply.

Kind regards,

Vitor


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