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＜電子ブック＞
Sparse Grids and Applications / edited by Jochen Garcke, Michael Griebel
(Lecture Notes in Computational Science and Engineering. ISSN:21977100 ; 88)

版	1st ed. 2013.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	2013
本文言語	英語
大きさ	X, 286 p : online resource
著者標目	Garcke, Jochen editor Griebel, Michael editor SpringerLink (Online service)
件　名	LCSH:Mathematics -- Data processing  全ての件名で検索 LCSH:Computer science -- Mathematics  全ての件名で検索 FREE:Computational Mathematics and Numerical Analysis FREE:Computational Science and Engineering FREE:Mathematics of Computing
一般注記	In the recent decade, there has been a growing interest in the numerical treatment of high-dimensional problems. It is well known that classical numerical discretization schemes fail in more than three or four dimensions due to the curse of dimensionality. The technique of sparse grids helps overcome this problem to some extent under suitable regularity assumptions. This discretization approach is obtained from a multi-scale basis by a tensor product construction and subsequent truncation of the resulting multiresolution series expansion. This volume of LNCSE is a collection of the papers from the proceedings of the workshop on sparse grids and its applications held in Bonn in May 2011. The selected articles present recent advances in the mathematical understanding and analysis of sparse grid discretization. Aspects arising from applications are given particular attention.     HTTP:URL=https://doi.org/10.1007/978-3-642-31703-3

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