On one generalization of Runge–Kutta method
Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, no. 2 (2006), 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.
@article{IIMI_2006_2_a38,
author = {G. G. Islamov and Y. V. Kogan},
title = {On one generalization of {Runge{\textendash}Kutta} method},
journal = {Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta},
pages = {167--172},
year = {2006},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/IIMI_2006_2_a38/}
}
TY - JOUR AU - G. G. Islamov AU - Y. V. Kogan TI - On one generalization of Runge–Kutta method JO - Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta PY - 2006 SP - 167 EP - 172 IS - 2 UR - http://geodesic.mathdoc.fr/item/IIMI_2006_2_a38/ LA - ru ID - IIMI_2006_2_a38 ER -
G. G. Islamov; Y. V. Kogan. On one generalization of Runge–Kutta method. Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, no. 2 (2006), pp. 167-172. http://geodesic.mathdoc.fr/item/IIMI_2006_2_a38/
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