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Article information
2003 , Volume 8, Special issue, p.123-133
Fedotova Z.I.
On the constructive approach to investigation of difference scheme stability
The technique of the obtaining of stability conditions for multidimensional difference schemes is developed. This manner has two useful properties: it is applicable to a rather wide class of difference schemes and is homogeneous from the algorithmic point of view. These properties are especially important with the automation of the research of the difference scheme stability using the computer. The method of differential approximation is accepted as a baseline of the developed approach. The multidimensional convection equation and the hyperbolic system of equations with non-commutative matrixes are considered.
Classificator Msc2000:- *35L45 Initial value problems for hyperbolic systems of first-order PDE
- 65M06 Finite difference methods
- 65M12 Stability and convergence of numerical methods
- 76M20 Finite difference methods
Keywords: symmetric hyperbolic difference scheme, finite difference method, numerical examples, convection equation
Author(s):
Fedotova Zinaida Ivanovna
PhD.
Position: Senior Research Scientist
Office: Federal Research Center for Information and Computational Technologies
Address: 630090, Russia, Novosibirsk, Lavrentiev ave. 6
Phone Office: (383) 334-91-21
E-mail: zf@ict.nsc.ru
Bibliography link:
Fedotova Z.I. On the constructive approach to investigation of difference scheme stability // Computational technologies. 2003. V. 8. Special issue. P. 123-133
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