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Article information
2004 , Volume 9, ¹ 6, p.97-104
Shokin Y.I., Sergeeva Y.V., Khakimzyanov G.S.
Constructing of monotonic schemes on the basis of method of differential approximation
The new approach based on analysis of a differential approximation of a scheme for constructing of monotonic difference schemes of the second order approximation is considered. Monotonic scheme for the nonlinear transport equation is given. The generalization for the shallow water equations is carried out.
[full text] Classificator Msc2000:- *65M12 Stability and convergence of numerical methods
Keywords: high resolution scheme, hyperbolic conservation law, monotone predictor-corrector scheme
Author(s):
Shokin Yuriy Ivanovich
Dr. , Academician RAS, Professor
Position: Scientific Director of the Institute
Office: Federal Research Center for Information and Computational Technologies
Address: 630090, Russia, Novosibirsk, Ac. Lavrentiev ave., 6
Phone Office: (383) 334 91 10
E-mail: shokin@ict.nsc.ru
SPIN-code: 6442-4180Sergeeva Yu.V.
Office: Novosibirsk State University
Address: 630090, Russia, Novosibirsk, Ac. Lavrentiev ave., 6
E-mail: yulya@gorodok.net
Khakimzyanov Gayaz Salimovich
Dr. , Professor
Position: Leading research officer
Office: Federal Research Center for Information and Computational Technologies
Address: 630090, Russia, Novosibirsk, Ac. Lavrentiev ave. 6
Phone Office: (383) 330 86 56
E-mail: khak@ict.nsc.ru
SPIN-code: 3144-0877
Bibliography link:
Shokin Y.I., Sergeeva Y.V., Khakimzyanov G.S. Constructing of monotonic schemes on the basis of method of differential approximation // Computational technologies. 2004. V. 9. ¹ 6. P. 97-104
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