Article information

1998 , Volume 3, ¹ 3, p.48-54

Novikov E.A., Golushko M.I.

The third-order method for stiff non-autonomous systems of ordinary differential equations

The L-stable (m,3)-method of the third order for solving the Cauchy problem for stiff non-autonomous systems of ordinary differential equations has been constructed. The results of the calculations, which confirm efficiency of the algorithm of integration, have been adduced.

[full text] Classificator Msc2000:
*34A34 Nonlinear equations and systems, general
34E13 Multiple scale methods
65L05 Initial value problems
65L20 Stability and convergence of numerical methods

Keywords: L-stability, third-order method, stiff systems, Cauchy problem, algorithm

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

Golushko Marina Ivanovna
PhD.
Position: Research Scientist
Address: 660036, Russia, Novosibirsk
Phone Office: (3832) 343656
E-mail: golushko@ict.nsc.ru


Bibliography link:
Novikov E.A., Golushko M.I. The third-order method for stiff non-autonomous systems of ordinary differential equations // Computational technologies. 1998. V. 3. ¹ 3. P. 48-54
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