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Matematicheskoe modelirovanie, 1990, Volume 2, Number 3, Pages 127–149
(Mi mm2347)
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This article is cited in 1 scientific paper (total in 1 paper)
Computational methods and algorithms
Monotone high-order difference schemes on non-regular grids
K. V. Vyaznikov Keldysh Applied Mathematics Institute, Academy of Sciences of the USSR
Abstract:
Paper is devoted to generalization of method for construction monotone high order difference schemes consequently for linear transfer equation, nonlinear transfer equation and for linear system of hyperbolic equations with constant coefficients on «nonregular spatial grid. Schemes are considered of two types. In first type of difference schemes assume that unknown quantities belong to nodes of grid, and in second to the centers of cells.
A number of theorems concerning approximation and monotonicity for suggested schemes were proved.
Constructed schemes was generalized for equations of ideal gas dynamic, written in Eulerian coordinates.
Quality of suggested schemes were proved on numerical example.
Citation:
K. V. Vyaznikov, “Monotone high-order difference schemes on non-regular grids”, Matem. Mod., 2:3 (1990), 127–149
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https://www.mathnet.ru/eng/mm2347 https://www.mathnet.ru/eng/mm/v2/i3/p127
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Abstract page: | 362 | Full-text PDF : | 163 | References: | 1 | First page: | 2 |
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