Functional Random Walk on Spheres algorithm for biharmonic equation: optimization and error estimation
| LEADER | caa a22 4500 | ||
|---|---|---|---|
| 001 | 37886906X | ||
| 003 | CHVBK | ||
| 005 | 20180305123405.0 | ||
| 007 | cr unu---uuuuu | ||
| 008 | 161128e20030101xx s 000 0 eng | ||
| 024 | 7 | 0 | |a 10.1515/156939603322587461 |2 doi |
| 035 | |a (NATIONALLICENCE)gruyter-10.1515/156939603322587461 | ||
| 245 | 0 | 0 | |a Functional Random Walk on Spheres algorithm for biharmonic equation: optimization and error estimation |h [Elektronische Daten] |c [Karl Sabelfeld, Elena Shkarupa] |
| 520 | 3 | |a 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. | |
| 540 | |a Copyright 2003, Walter de Gruyter | ||
| 690 | 7 | |a Random Walk on Spheres algorithm |2 nationallicence | |
| 690 | 7 | |a global estimators |2 nationallicence | |
| 690 | 7 | |a biharmonic equation |2 nationallicence | |
| 690 | 7 | |a optimization and error estimation |2 nationallicence | |
| 690 | 7 | |a multilinear interpolation |2 nationallicence | |
| 700 | 1 | |a Sabelfeld |D Karl |u Weierstrass Institute for Applied Analysis and Stochastics, Mohrenstrasse 39, D - 10117 Berlin, Germany. |4 aut | |
| 700 | 1 | |a Shkarupa |D Elena |u Institute of Comput. Math. and Mathem. Geophysics, Lavrentiev str., 6, 630090 Novosibirsk, Russia. |4 aut | |
| 773 | 0 | |t Monte Carlo Methods and Applications |d Walter de Gruyter |g 9/1(2003-01-01), 51-65 |x 0929-9629 |q 9:1<51 |1 2003 |2 9 |o mcma | |
| 856 | 4 | 0 | |u https://doi.org/10.1515/156939603322587461 |q text/html |z Onlinezugriff via DOI |
| 908 | |D 1 |a research article |2 jats | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1515/156939603322587461 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Sabelfeld |D Karl |u Weierstrass Institute for Applied Analysis and Stochastics, Mohrenstrasse 39, D - 10117 Berlin, Germany |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Shkarupa |D Elena |u Institute of Comput. Math. and Mathem. Geophysics, Lavrentiev str., 6, 630090 Novosibirsk, Russia |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Monte Carlo Methods and Applications |d Walter de Gruyter |g 9/1(2003-01-01), 51-65 |x 0929-9629 |q 9:1<51 |1 2003 |2 9 |o mcma | ||
| 900 | 7 | |b CC0 |u http://creativecommons.org/publicdomain/zero/1.0 |2 nationallicence | |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-gruyter | ||