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
[full text] 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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