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.
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     title = {Balayage and averaging principles in the construction of algorithms of the {Monte} {Carlo} method for the solution of boundary value problems},
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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/