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Article information
2002 , Volume 7, ¹ 1, p.96-105
Pinchukov V.I.
On implicit absolutely stable fourth order Runge-Kutta schemes
Implicit fourth order schemes of Runge-Kutta type for ordinary difference equations and for multidimensional transfer equation are considered. The absolute stability of schemes is proved under the assumption about frozen coefficients. The results of test calculations are presented.
[full text] Classificator Msc2000:- *34A34 Nonlinear equations and systems, general
- 35K15 Initial value problems for second-order, parabolic equations
- 35L15 Initial value problems for second-order, hyperbolic equations
- 65L05 Initial value problems
- 65L06 Multistep, Runge-Kutta and extrapolation methods
- 65L20 Stability and convergence of numerical methods
- 65M12 Stability and convergence of numerical methods
- 65M20 Method of lines
Keywords: Runge-Kutta method, semidiscretization, numerical examples, absolute stability, diffusion-free transfer equation, transfer equation with diffusion, frozen coefficients approximation
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. On implicit absolutely stable fourth order Runge-Kutta schemes // Computational technologies. 2002. V. 7. ¹ 1. P. 96-105
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