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Sparse Grids and Applications - Munich 2012

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Release : 2014-04-11
Genre : Mathematics
Kind : eBook
Book Rating : 377/5 ( reviews)

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Book Synopsis Sparse Grids and Applications - Munich 2012 by : Jochen Garcke

Download or read book Sparse Grids and Applications - Munich 2012 written by Jochen Garcke. This book was released on 2014-04-11. Available in PDF, EPUB and Kindle. Book excerpt: Sparse grids have gained increasing interest in recent years for the numerical treatment of high-dimensional problems. Whereas classical numerical discretization schemes fail in more than three or four dimensions, sparse grids make it possible to overcome the “curse” of dimensionality to some degree, extending the number of dimensions that can be dealt with. This volume of LNCSE collects the papers from the proceedings of the second workshop on sparse grids and applications, demonstrating once again the importance of this numerical discretization scheme. The selected articles present recent advances on the numerical analysis of sparse grids as well as efficient data structures, and the range of applications extends to uncertainty quantification settings and clustering, to name but a few examples.

Sparse Grids and Applications - Munich 2018

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Release : 2022-03-14
Genre : Mathematics
Kind : eBook
Book Rating : 622/5 ( reviews)

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Book Synopsis Sparse Grids and Applications - Munich 2018 by : Hans-Joachim Bungartz

Download or read book Sparse Grids and Applications - Munich 2018 written by Hans-Joachim Bungartz. This book was released on 2022-03-14. Available in PDF, EPUB and Kindle. Book excerpt: Sparse grids are a popular tool for the numerical treatment of high-dimensional problems. Where classical numerical discretization schemes fail in more than three or four dimensions, sparse grids, in their different flavors, are frequently the method of choice. This volume of LNCSE presents selected papers from the proceedings of the fifth workshop on sparse grids and applications, and demonstrates once again the importance of this numerical discretization scheme. The articles present recent advances in the numerical analysis of sparse grids in connection with a range of applications including uncertainty quantification, plasma physics simulations, and computational chemistry, to name but a few.

Sparse Grids and Applications

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Release : 2012-10-13
Genre : Mathematics
Kind : eBook
Book Rating : 022/5 ( reviews)

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Book Synopsis Sparse Grids and Applications by : Jochen Garcke

Download or read book Sparse Grids and Applications written by Jochen Garcke. This book was released on 2012-10-13. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Sparse Grids and Applications - Stuttgart 2014

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Release : 2016-03-16
Genre : Computers
Kind : eBook
Book Rating : 62X/5 ( reviews)

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Book Synopsis Sparse Grids and Applications - Stuttgart 2014 by : Jochen Garcke

Download or read book Sparse Grids and Applications - Stuttgart 2014 written by Jochen Garcke. This book was released on 2016-03-16. Available in PDF, EPUB and Kindle. Book excerpt: This volume of LNCSE is a collection of the papers from the proceedings of the third workshop on sparse grids and applications. Sparse grids are a popular approach for the numerical treatment of high-dimensional problems. Where classical numerical discretization schemes fail in more than three or four dimensions, sparse grids, in their different guises, are frequently the method of choice, be it spatially adaptive in the hierarchical basis or via the dimensionally adaptive combination technique. Demonstrating once again the importance of this numerical discretization scheme, the selected articles present recent advances on the numerical analysis of sparse grids as well as efficient data structures. The book also discusses a range of applications, including uncertainty quantification and plasma physics.

Sparse Grids and Applications - Miami 2016

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Release : 2018-06-20
Genre : Mathematics
Kind : eBook
Book Rating : 262/5 ( reviews)

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Book Synopsis Sparse Grids and Applications - Miami 2016 by : Jochen Garcke

Download or read book Sparse Grids and Applications - Miami 2016 written by Jochen Garcke. This book was released on 2018-06-20. Available in PDF, EPUB and Kindle. Book excerpt: Sparse grids are a popular tool for the numerical treatment of high-dimensional problems. Where classical numerical discretization schemes fail in more than three or four dimensions, sparse grids, in their different flavors, are frequently the method of choice. This volume of LNCSE presents selected papers from the proceedings of the fourth workshop on sparse grids and applications, and demonstrates once again the importance of this numerical discretization scheme. The articles present recent advances in the numerical analysis of sparse grids in connection with a range of applications including computational chemistry, computational fluid dynamics, and big data analytics, to name but a few.

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