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Article information
2002 , Volume 7, ¹ 5, p.44-57
Pinchukov V.I.
Comparison of implicit third order Runge-Kutta schemes
Implicit third order Runge-Kutta schemes are constructed for multidimensional transfer equation with diffusion and for compressible gas equations. Linear stability is proved for any time step. Two and three steps schemes are considered. Various sets of coefficients are founded to provide absolute stability of every type of scheme. The results of numerical calculations are presented.
[full text] Classificator Msc2000:- *65M06 Finite difference methods
- 76M20 Finite difference methods
- 76N15 Gas dynamics, general
Keywords: third order difference methods for hyperbolic equations, time discretization, total variation diminishing, compact scheme
Author(s):
Pinchukov Vladimir Ivanovich
Dr. , Senior Scientist
Position: Leading research officer
Office: Institute of Computational Technologies SB RAS
Address: 630090, Russia, Novosibirsk, Ac. Lavrentiev ave., 6
Phone Office: (383) 330 73 73
E-mail: pinchvi@net.ict.nsc.ru
Bibliography link:
Pinchukov V.I. Comparison of implicit third order Runge-Kutta schemes // Computational technologies. 2002. V. 7. ¹ 5. P. 44-57
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