caa a22 4500 37886906X CHVBK 20180305123405.0 cr unu---uuuuu 161128e20030101xx s 000 0 eng 10.1515/156939603322587461 doi (NATIONALLICENCE)gruyter-10.1515/156939603322587461 Functional Random Walk on Spheres algorithm for biharmonic equation: optimization and error estimation [Elektronische Daten] [Karl Sabelfeld, Elena Shkarupa] The global algorithm of Random Walk on Spheres suggested in [Sabelfeld K.K. Monte Carlo methods in boundary problems. Springer-Verlag, Heidelberg - Berlin - New York, 1991.] is analyzed and a kind of optimization strategy is suggested. The algorithm is applied here to construct a functional version of this method which uses a multilinear interpolation. As an example we have chosen the biharmonic equation governing the bending of a thin elastic plate with the simply supported boundary, however generalizations to other equations can be carried out. Copyright 2003, Walter de Gruyter Random Walk on Spheres algorithm nationallicence global estimators nationallicence biharmonic equation nationallicence optimization and error estimation nationallicence multilinear interpolation nationallicence Sabelfeld Karl Weierstrass Institute for Applied Analysis and Stochastics, Mohrenstrasse 39, D - 10117 Berlin, Germany. aut Shkarupa Elena Institute of Comput. Math. and Mathem. Geophysics, Lavrentiev str., 6, 630090 Novosibirsk, Russia. aut Monte Carlo Methods and Applications Walter de Gruyter 9/1(2003-01-01), 51-65 0929-9629 9:1<51 2003 9 mcma https://doi.org/10.1515/156939603322587461 text/html Onlinezugriff via DOI 1 research article jats NATIONALLICENCE 856 40 https://doi.org/10.1515/156939603322587461 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Sabelfeld Karl Weierstrass Institute for Applied Analysis and Stochastics, Mohrenstrasse 39, D - 10117 Berlin, Germany aut NATIONALLICENCE 700 1- Shkarupa Elena Institute of Comput. Math. and Mathem. Geophysics, Lavrentiev str., 6, 630090 Novosibirsk, Russia aut NATIONALLICENCE 773 0- Monte Carlo Methods and Applications Walter de Gruyter 9/1(2003-01-01), 51-65 0929-9629 9:1<51 2003 9 mcma CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-gruyter