Geodesic
Monotone high-order difference schemes on non-regular grids
Matematičeskoe modelirovanie, Tome 2 (1990) no. 3, pp. 127-149.

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{MM_1990_2_3_a11,
     author = {K. V. Vyaznikov},
     title = {Monotone high-order difference schemes on non-regular grids},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {127--149},
     publisher = {mathdoc},
     volume = {2},
     number = {3},
     year = {1990},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_1990_2_3_a11/}
}
TY  - JOUR
AU  - K. V. Vyaznikov
TI  - Monotone high-order difference schemes on non-regular grids
JO  - Matematičeskoe modelirovanie
PY  - 1990
SP  - 127
EP  - 149
VL  - 2
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MM_1990_2_3_a11/
LA  - ru
ID  - MM_1990_2_3_a11
ER  - 
%0 Journal Article
%A K. V. Vyaznikov
%T Monotone high-order difference schemes on non-regular grids
%J Matematičeskoe modelirovanie
%D 1990
%P 127-149
%V 2
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MM_1990_2_3_a11/
%G ru
%F MM_1990_2_3_a11
K. V. Vyaznikov. Monotone high-order difference schemes on non-regular grids. Matematičeskoe modelirovanie, Tome 2 (1990) no. 3, pp. 127-149. http://geodesic.mathdoc.fr/item/MM_1990_2_3_a11/