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Article information
2006 , Volume 11, ¹ 4, p.65-72
Novikov E.A., Shornikov Y.V.
Stability control of Felberg method of the 7th order of accuracy
An inequality for the stability control of Felberg method of 7th order of accuracy is formulated, which is based on the evaluation of maximum eigenvalue of Jacoby matrix by the power-law method. This evaluation does not increase the number of calculations of the right-hand side of ODE. The results of computations are provided, which confirm the almost double increase of efficiency of the method due to the additional stability control.
[full text] Author(s):
Novikov Eugenii Alexandrovich
Dr. , Professor
Position: General Scientist
Office: Institute of Computational Modelling SB RAS
Address: 660036, Russia, Krasnoyarsk
Phone Office: (3912) 49 47 24
E-mail: novikov@icm.krasn.ru
Shornikov Yury Vladimirovich
PhD. , Associate Professor
Position: Associate Professor
Office: Novosibirsk State Technical University
Address: 630092, Russia, Novosibirsk
Phone Office: (383) 346 11 00
E-mail: shornikov@inbox.ru
Bibliography link:
Novikov E.A., Shornikov Y.V. Stability control of Felberg method of the 7th order of accuracy // Computational technologies. 2006. V. 11. ¹ 4. P. 65-72
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