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Article information
1999 , Volume 4, ¹ 2, p.59-73
Pinchukov V.I.
On implicit htird order Runge-Kutta type schemes
Implicit schemes of the third-order approximation with respect to time are suggested. Ordinary equations of the first order are considered as well as the multidimensional convection equations. The schemes are proved to be absolutely stable in the frozen coefficients approximation. The results of test calculations are presented.
[full text] Classificator Msc2000:- *34A34 Nonlinear equations and systems, general
- 35K55 Nonlinear PDE of parabolic type
- 65L05 Initial value problems
- 65L06 Multistep, Runge-Kutta and extrapolation methods
- 65M12 Stability and convergence of numerical methods
- 65M20 Method of lines
Keywords: implicit Runge-Kutta method, method of lines, stability, numerical examples, convection equations, Fourier method
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 htird order Runge-Kutta type schemes // Computational technologies. 1999. V. 4. ¹ 2. P. 59-73
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