Geodesic
Splitting method for CABARET scheme approximating the non-uniform scalar conservation law
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 21 (2018) no. 2, pp. 185-200

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The splitting method for the CABARET scheme approximating the non-uniform scalar conservation law with convex and monotonically increasing flux function has been proposed. It was shown that at the first step of this method, when the uniform conservation law is approximated, the CABARET scheme is monotonic and its numerical solutions do not have non-physical oscillations in the shock wavefronts. Test computations that illustrate these properties of the CABARET scheme are presented. 
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     author = {N. A. Zyuzina and V. V. Ostapenko and E. I. Polunina},
     title = {Splitting method for {CABARET} scheme approximating the non-uniform scalar conservation law},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
     pages = {185--200},
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     volume = {21},
     number = {2},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJVM_2018_21_2_a4/}
}
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N. A. Zyuzina; V. V. Ostapenko; E. I. Polunina. Splitting method for CABARET scheme approximating the non-uniform scalar conservation law. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 21 (2018) no. 2, pp. 185-200. http://geodesic.mathdoc.fr/item/SJVM_2018_21_2_a4/