Geodesic
On total truncation error estimation for the one-step method
Applications of Mathematics, Tome 32 (1987) no. 3, pp. 177-185.

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In this paper the author establishes estimation of the total truncation error after $s$ steps in the fifth order Ruge-Kutta-Huťa formula for systems of differential equations. The approach is analogous to that used by Vejvoda for the estimation of the classical formulas of the Runge-Kutta type of the 4-th order.
DOI : 10.21136/AM.1987.104249
Classification : 34A34, 65G99, 65L05
Keywords: global error estimation; fifth order Runge-Kutta method; system; differential equations; numerical solution; fifth order; error analysis 
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     title = {On total truncation error estimation for the one-step method},
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Valková, Anna. On total truncation error estimation for the one-step method. Applications of Mathematics, Tome 32 (1987) no. 3, pp. 177-185. doi : 10.21136/AM.1987.104249. http://geodesic.mathdoc.fr/articles/10.21136/AM.1987.104249/

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