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Article information
2012 , Volume 17, ¹ 2, p.78-98
Khakimzyanov G.S., Shokina N.Y.
Some notes on monotonicity preserving schemes
The general problems, arising at adaptive grid generation and construction of divergent difference schemes, which preserve monotonicity of a numerical solution, are discussed using simple examples of difference schemes for transport equation with constant coefficient. An example of a scheme with positive coefficients, which doesn't preserve monotonicity, is given. Also an example of a TVD-scheme, which increases a number of extremums, is provided.
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Keywords: numerical modelling, finite-difference scheme, transport equation, predictor-corrector, monotonicity preserving scheme, divergence scheme, adaptive grid, equidistribution method, numerical results
Author(s):
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: 3144-0877Shokina Nina Yurievna
PhD.
Position: Research Scientist
Office: Medical Center University of Freiburg
Address: 79106, Germany, Freiburg, Killianstrasse, 5a
Phone Office: (49761) 270 73930
E-mail: nina.shokina@uniklinik-freiburg.de
SPIN-code: 8680-7439
Bibliography link:
Khakimzyanov G.S., Shokina N.Y. Some notes on monotonicity preserving schemes // Computational technologies. 2012. V. 17. ¹ 2. P. 78-98
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