Journal "Computational Technologies"

Article information

2003 , Volume 8, № 3, p.75-91

Ismagilov T.Z., Kovenya V.M.

One method of construction of exact factorization schemes for numerical solution of hyperbolic equations

The method for obtaining all finite difference schemes with precise factorization for numerical solution of hyperbolic equations is suggested. The existence of the multi parametrical family of exact factorization schemes is proved. This family schemes can be easily checked for scalar resolvability. The exact factorization schemes for the gas dynamics equations in different various gas dynamics variables are considered as the application.

[full text] Classificator Msc2000:

*76M20 Finite difference methods

76N15 Gas dynamics, general

Keywords: multiparameter family of schemes, gas dynamics equations

Author(s):
Ismagilov T Z
Office: Novosibirsk State University
Address: Russia, Novosibirsk

Kovenya Viktor Mikhailovich
Dr. , Professor
Position: General Scientist
Office: Federal Research Center for Information and Computational Technologies
Address: 630090, Russia, Novosibirsk, academician M.A. Lavrentiev avenue, 6
Phone Office: (383) 330 61 68
E-mail: kovenya@ict.nsc.ru

Bibliography link:
Ismagilov T.Z., Kovenya V.M. One method of construction of exact factorization schemes for numerical solution of hyperbolic equations // Computational technologies. 2003. V. 8. № 3. P. 75-91