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Matematicheskoe modelirovanie, 2004, Volume 16, Number 6, Pages 44–47 (Mi mm270)  
XII International Conference on Computing Mechanics and Advanced Applied Codes

Nonlinear monotonization of K. I. Babenko scheme for the numerical solution of the advection equation

T. A. Alexandrikovaa, M. P. Galaninb, T. G. Eleninab

a N. E. Bauman Moscow State Technical University
b M. V. Keldysh Institute for Applied Mathematics, Russian Academy of Sciences
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Abstract: There are presented the results of constructing of new nonlinear finite-difference scheme for solution a Cauchy problem for linear and quasi-linear advection equation with finite initial data. The scheme is built by means of monotonization of K. I. Babenko (“square”) scheme by introduction of artificial viscosity with “limiters”.
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Language: Russian
Citation: T. A. Alexandrikova, M. P. Galanin, T. G. Elenina, “Nonlinear monotonization of K. I. Babenko scheme for the numerical solution of the advection equation”, Matem. Mod., 16:6 (2004), 44–47
Citation in format AMSBIB
\Bibitem{AleGalEle04}
\by T.~A.~Alexandrikova, M.~P.~Galanin, T.~G.~Elenina
\paper Nonlinear monotonization of K.\,I.~Babenko scheme for the numerical solution of the advection equation
\jour Matem. Mod.
\yr 2004
\vol 16
\issue 6
\pages 44--47
\mathnet{http://mi.mathnet.ru/mm270}
\zmath{https://zbmath.org/?q=an:1079.76593}
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