Geodesic
Nonlinear monotonization of K. I. Babenko scheme for the numerical solution of the advection equation
Matematičeskoe modelirovanie, Tome 16 (2004) no. 6, pp. 44-47 
T. A. Alexandrikova; M. P. Galanin; T. G. Elenina. Nonlinear monotonization of K. I. Babenko scheme for the numerical solution of the advection equation. Matematičeskoe modelirovanie, Tome 16 (2004) no. 6, pp. 44-47. http://geodesic.mathdoc.fr/item/MM_2004_16_6_a9/
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Voir la notice de l'article provenant de la source Math-Net.Ru

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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