Sparse Grids and Applications

2013
ISBN: 978-3-642-42660-5
Verlag: Springer

Buch, Englisch, Band 88, 286 Seiten, Paperback, Format (B × H): 155 mm x 235 mm, Gewicht: 4511 g

Reihe: Lecture Notes in Computational Science and Engineering

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.

Zielgruppe

Research

Autoren/Hrsg.

Griebel, Michael

Garcke, Jochen

Fachgebiete

• Mathematik | Informatik EDV | Informatik Informatik Theoretische Informatik
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen

Über Autor(innen)

Jochen Garcke is Professor at the Institute of Numerical Simulation, University of Bonn. Michael Griebel is Managing Editor of the journal Numerische Mathematik, series editor of LNCSE and volume editor of the proceedings on Meshfree Methods for PDEs, published as LNCSE 43, 57, 65 and 79.