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/ V. V. Shaidurov, A. V. Vyatkin, E. V. Kuchunova // Russ. J. Numer. Anal. Math. Model. - 2018. - Vol. 33, Is. 2. - P123-135, DOI 10.1515/rnam-2018-0011. - Cited References:22. - The different parts of this work were funded by Russian Foundation for Basic Research to projects No. 17-01-000270 and No. 16-41-243029 which was supported also by Government of Krasnoyarsk Territory, Krasnoyarsk Region Science and Technology Support Fund. . - ISSN 0927-6467. - ISSN 1569-3988РУБ Engineering, Multidisciplinary + Mathematics, Applied

Аннотация: The paper demonstrates different ways of using the semi-Lagrangian approximation depending on the fulfillment of conservation laws. A one-dimensional continuity equation and a parabolic one are taken as simple methodological examples. For these equations, the principles of constructing discrete analogues are demonstrated for three different conservation laws (or the requirements of stability in the related discrete norms similar to the L-1, L-2, L-infinity-norms). It is significant that different conservation laws yield difference problems of different types as well as different ways to justify their stability.

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Держатели документа:
Fed Res Ctr KSC SB RAS, Inst Computat Modelling, Krasnoyarsk 660036, Russia.
Tianjin Univ Finance & Econ, Tianjin 300222, Peoples R China.
Siberian Fed Univ, Krasnoyarsk 660041, Russia.

Доп.точки доступа:
Shaidurov, Vladimir V.; Vyatkin, Alexander V.; Kuchunova, Elena V.; Russian Foundation for Basic Research - Government of Krasnoyarsk Territory, Krasnoyarsk Region Science and Technology Support Fund [17-01-000270, 16-41-243029]