Geodesic
On one generalization of Runge--Kutta method
Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 36 (2006) no. 2, pp. 167-172.

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There are offered to select the coefficients of one Runge–Kutta method generalization with regard to the value of relative error for linearized system of ordinary differential equations. Unlike the known versions of Runge–Kutta methods it is lead to Pade approximation not in zero, but in point nearest the spectrum of multiplied to mesh width the Jacobi matrix in the current mesh point. 
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G. G. Islamov; Y. V. Kogan. On one generalization of Runge--Kutta method. Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 36 (2006) no. 2, pp. 167-172. http://geodesic.mathdoc.fr/item/IIMI_2006_36_2_a38/

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