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Article information
2011 , Volume 16, ¹ 6, p.54-67
Novikov A.E., Novikov E.A.
Combined method of the third order of accuracy for solving stiff problems
L-stable (3,2)-method and an explicit three-stage Runge-Kutta type scheme both of the third order of accuracy are constructed. An integration algorithm with variable steps is developed in which the choice efficient numerical scheme is implemented at each step using inequalities for stability control. The presented results confirm the effectiveness of the algorithm
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Keywords: stiff problem, explicit method, m,k -method, L-stability, control accuracy and stability
Author(s):
Novikov Anton Evgenevich
Position: Assistent
Office: Siberian federal university
Address: 660036, Russia, Krasnoyarsk
Phone Office: (391)2912-213
E-mail: aenovikov@bk.ru
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
Bibliography link:
Novikov A.E., Novikov E.A. Combined method of the third order of accuracy for solving stiff problems // Computational technologies. 2011. V. 16. ¹ 6. P. 54-67
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