Sparse grids are numerical techniques to represent, integrate or interpolate high dimensional functions. They were originally developed by theâ€¦Â (More)

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Highly Cited

2012

Highly Cited

2012

- Bin Jia, Ming Xin, Yang Cheng
- Automatica
- 2012

In this paper, a novel nonlinear filter named Sparse-grid Quadrature Filter (SGQF) is proposed. The filter utilizes weightedâ€¦Â (More)

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Highly Cited

2009

Highly Cited

2009

- Xiang Ma, Nicholas Zabaras
- J. Comput. Physics
- 2009

In recent years, there has been a growing interest in analyzing and quantifying the effects of random inputs in the solution ofâ€¦Â (More)

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Highly Cited

2008

Highly Cited

2008

- Fabio Nobile, RaÃºl Tempone, Clayton G. Webster
- SIAM J. Numerical Analysis
- 2008

This work proposes and analyzes an anisotropic sparse grid stochastic collocation method for solving partial differentialâ€¦Â (More)

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Highly Cited

2008

Highly Cited

2008

- Fabio Nobile, RaÃºl Tempone, Clayton G. Webster
- SIAM J. Numerical Analysis
- 2008

This work proposes and analyzes a Smolyak-type sparse grid stochastic collocation method for the approximation of statisticalâ€¦Â (More)

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Highly Cited

2007

Highly Cited

2007

- Baskar Ganapathysubramanian, Nicholas Zabaras
- J. Comput. Physics
- 2007

In recent years, there has been an interest in analyzing and quantifying the effects of random inputs in the solution of partialâ€¦Â (More)

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Review

2004

Review

2004

We present a survey of the fundamentals and the applications of sparse grids, with a focus on the solution of partialâ€¦Â (More)

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Highly Cited

2000

Highly Cited

2000

- Volker Barthelmann, Erich Novak, Klaus Ritter
- Adv. Comput. Math.
- 2000

We study polynomial interpolation on a d-dimensional cube, where d is large. We suggest to use the least solution at sparse gridsâ€¦Â (More)

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Review

1998

Review

1998

- Thomas Gerstner, Michael Griebel
- Numerical Algorithms
- 1998

We present new and review existing algorithms for the numerical integration of multivariate functions defined over d-dimensionalâ€¦Â (More)

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1997

1997

- BenoÃ®t Duc, Stefan Fischer, Josef BigÃ¼n
- ICASSP
- 1997

This paper investigates the application of statistical pattern recognition methods in the framework of the Dynamic Link Matchingâ€¦Â (More)

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Highly Cited

1992

Highly Cited

1992

Two-dimensional sparse grids contain only O(h ?1 log(h ?1)) grid points, in contrast to the usually used full O(h ?2)-gridsâ€¦Â (More)

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