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Article information
2001 , Volume 6, ¹ 4, p.40-50
Novikov E.A., Kontaryova L.N.
Second-order explicit methods with conformable stability regions
For arbitrary m the coefficients of explicit m - stage methods of Runge-Kutta type are obtained. For these methods the stability domains of intermediate numerical schemes are conformable with the stability domain of the basic scheme.
[full text] Classificator Msc2000:- *34A34 Nonlinear equations and systems, general
- 65L05 Initial value problems
- 65L06 Multistep, Runge-Kutta and extrapolation methods
- 65L20 Stability and convergence of numerical methods
Keywords: methods of Runge-Kutta type, Cauchy problem, stability domains
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
Kontaryova L.N.
Address: 660036, Russia, Krasnoyarsk
Bibliography link:
Novikov E.A., Kontaryova L.N. Second-order explicit methods with conformable stability regions // Computational technologies. 2001. V. 6. ¹ 4. P. 40-50
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