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Sparse Grids and Applications: 88 (Lecture Notes in Computational Science and Engineering) - Softcover
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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.
Biografía del autor:
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.
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- VerlagSpringer
- Erscheinungsdatum2014
- ISBN 10 3642426603
- ISBN 13 9783642426605
- EinbandTapa blanda
- Anzahl der Seiten296
- HerausgeberGarcke Jochen, Griebel Michael
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Sparse Grids and Applications
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Sparse Grids and Applications
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ISBN 13: 9783642426605
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Buchbeschreibung Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Artikel-Nr. 9783642426605
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