TY - BOOK ID - 14306789 TI - Sparse grids and applications AU - Garcke, Jochen. AU - Griebel, Michael. PY - 2013 VL - 88 SN - 14397358 SN - 3642317022 3642317030 3642426603 PB - New York : Springer, DB - UniCat KW - Business mathematics. KW - Calculus, Integral. KW - Mathematics. KW - Numerical analysis. KW - Computational grids (Computer systems) KW - Mathematics KW - Engineering & Applied Sciences KW - Physical Sciences & Mathematics KW - Mathematics - General KW - Computer Science KW - Numerical grid generation (Numerical analysis) KW - Coordinate generation, Numerical (Numerical analysis) KW - Generation of numerical grids (Numerical analysis) KW - Grid generation, Numerical (Numerical analysis) KW - Mesh generation, Numerical (Numerical analysis) KW - Numerical coordinate generation (Numerical analysis) KW - Numerical mesh generation (Numerical analysis) KW - Sparse grids. KW - Computer science KW - Computer mathematics. KW - Computational Mathematics and Numerical Analysis. KW - Computational Science and Engineering. KW - Mathematics of Computing. KW - Boundary value problems KW - Differential equations, Partial KW - Nets (Mathematics) KW - Numerical analysis KW - Numerical solutions KW - Computer science. KW - Informatics KW - Science KW - Computer mathematics KW - Discrete mathematics KW - Electronic data processing KW - Computer science—Mathematics. UR - https://www.unicat.be/uniCat?func=search&query=sysid:14306789 AB - 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.    . ER -