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  4. Comparison of Clenshaw-Curtis and Leja Quasi-Optimal Sparse Grids for the Approximation of Random PDEs
 
conference paper

Comparison of Clenshaw-Curtis and Leja Quasi-Optimal Sparse Grids for the Approximation of Random PDEs

Nobile, Fabio  
•
Tamellini, Lorenzo  
•
Tempone, Raul
Kirby, Robert M.
•
Berzins, Martin
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2015
Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2014
International Conference on Spectral and High-Order Methods 2014 (ICOSAHOM'14)

In this work we compare different families of nested quadrature points, i.e. the classic Clenshaw-Curtis and various kinds of Leja points, in the context of the quasi-optimal sparse grid approximation of random elliptic PDEs. Numerical evidence suggests that both families perform comparably within such framework.

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2015_Nobile_Tamellini_Tempone_LNCSE_Comparison.pdf

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http://purl.org/coar/version/c_970fb48d4fbd8a85

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