Balayage and averaging principles in the construction of algorithms of the Monte Carlo method for the solution of boundary value problems
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 23 (1983) no. 2, pp. 366-379
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A general principle is described for constructing Monte Carlo method algorithms for solving boundary value problems. The boundary-walk algorithm is considered in detail. Two ways of taking account of the right-hand sides of the equations are described. Some problems of the theory of plates with randomly distributed loads are studied numerically.
@article{ZVMMF_1983_23_2_a12,
author = {K. K. Sabelfeld},
title = {Balayage and averaging principles in the construction of algorithms of the {Monte} {Carlo} method for the solution of boundary value problems},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {366--379},
publisher = {mathdoc},
volume = {23},
number = {2},
year = {1983},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_2_a12/}
}
TY - JOUR AU - K. K. Sabelfeld TI - Balayage and averaging principles in the construction of algorithms of the Monte Carlo method for the solution of boundary value problems JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 1983 SP - 366 EP - 379 VL - 23 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_2_a12/ LA - ru ID - ZVMMF_1983_23_2_a12 ER -
%0 Journal Article %A K. K. Sabelfeld %T Balayage and averaging principles in the construction of algorithms of the Monte Carlo method for the solution of boundary value problems %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 1983 %P 366-379 %V 23 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_2_a12/ %G ru %F ZVMMF_1983_23_2_a12
K. K. Sabelfeld. Balayage and averaging principles in the construction of algorithms of the Monte Carlo method for the solution of boundary value problems. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 23 (1983) no. 2, pp. 366-379. http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_2_a12/