A difference scheme of second-order accuracy on a minimal pattern for hyperbolic equations
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 23 (1983) no. 1, pp. 119-126
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A method of constructing explicit difference schemes of second-order of accuracy on a minimal pattern is described. The method enables the required solution to be written uniquely in the class of piecewise continuous functions. As an example the two-dimensional non-stationary supersonic flow past an energy source is computed.
@article{ZVMMF_1983_23_1_a12,
author = {O. M. Belotserkovskii and V. G. Grudnitskii and Yu. A. Prokhorchuk},
title = {A difference scheme of second-order accuracy on a minimal pattern for hyperbolic equations},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {119--126},
publisher = {mathdoc},
volume = {23},
number = {1},
year = {1983},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_1_a12/}
}
TY - JOUR AU - O. M. Belotserkovskii AU - V. G. Grudnitskii AU - Yu. A. Prokhorchuk TI - A difference scheme of second-order accuracy on a minimal pattern for hyperbolic equations JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 1983 SP - 119 EP - 126 VL - 23 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_1_a12/ LA - ru ID - ZVMMF_1983_23_1_a12 ER -
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O. M. Belotserkovskii; V. G. Grudnitskii; Yu. A. Prokhorchuk. A difference scheme of second-order accuracy on a minimal pattern for hyperbolic equations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 23 (1983) no. 1, pp. 119-126. http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_1_a12/