Geodesic
A~comparison of some quasimonotonous shock-capturing finitedifference schemes on the basis of the Cauchy problem for one-dimensional linear transfere equation
Matematičeskoe modelirovanie, Tome 4 (1992) no. 3, pp. 62-75.

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Underlying principles of the monotonous high-order shock-capturing schemes are discussed. The schemes are systematized and compared on the basis of the Cauchy problem for onedimensional linear convection equation. 
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     author = {S. A. II'in and E. V. Timofeev},
     title = {A~comparison of some quasimonotonous shock-capturing finitedifference schemes on the basis of the {Cauchy} problem for one-dimensional linear transfere equation},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {62--75},
     publisher = {mathdoc},
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S. A. II'in; E. V. Timofeev. A~comparison of some quasimonotonous shock-capturing finitedifference schemes on the basis of the Cauchy problem for one-dimensional linear transfere equation. Matematičeskoe modelirovanie, Tome 4 (1992) no. 3, pp. 62-75. http://geodesic.mathdoc.fr/item/MM_1992_4_3_a6/