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Article information
1998 , Volume 3, ¹ 1, p.40-54
Blokhin A.M., Krymskikh D.A.
The stability of numerical boundary treatment for finite-difference splitting scheme for the acoustics equations system
Different questions on influence of boundary conditions on
stability of the finite-difference splitting scheme are considered in the paper on the example of the initial value and initial-boundary value problems for the
acoustics equations system. This scheme is often used for numerical approximations to solutions of aerodynamics problems. It is shown that stability of this scheme depends not only upon the type of the problem (the initial value problem or the initial-boundary value problem) but on its dimension too.
[full text] Classificator Msc2000:- *65M12 Stability and convergence of numerical methods
- 76M20 Finite difference methods
- 76Q05 Hydro- and aero-acoustics
Keywords: initial-boundary value problems, splitting scheme, spectral analysis, initial value problems, difference Cauchy problem
Author(s):
Blokhin Alexander Mikhailovich
Dr. , Professor
Position: Head of Laboratory
Office: Institute of Mathematics SB RAS
Address: 630090, Russia, Novosibirsk, Ac. Koptyug ave, 4
Phone Office: (383) 329 76 75
E-mail: blokhin@math.nsc.ru
Krymskikh D.A.
Office: Institute of Mathematics SB RAS
Address: Russia, Novosibirsk, Ac. Koptyug ave, 4, Ac. Koptyug ave, 4
Phone Office: (3832)351560
Bibliography link:
Blokhin A.M., Krymskikh D.A. The stability of numerical boundary treatment for finite-difference splitting scheme for the acoustics equations system // Computational technologies. 1998. V. 3. ¹ 1. P. 40-54
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