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MATHICSE Technical Report : Comparison of Clenshaw-Curtis and Leja quasi-optimal sparse grids for the approximation of random PDEs

Nobile, Fabio  
•
Tamellini, Lorenzo  
•
Tempone, Raúl
October 2, 2014

In this work we compare numerically 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 the performances of both families are essentially comparable within such framework.

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