High-Dimensional Adaptive Sparse Polynomial Interpolation and Applications to Parametric PDEs

A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data

Ivo Babuška, Fabio Nobile, Raúl Tempone · SIAM Journal on Numerical Analysis · 2007 · 1.4K citations · Full text

Numerical Analysis, Large Deviations, Engineering +18

A Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data

Fabio Nobile, Raúl Tempone, Clayton Webster · SIAM Journal on Numerical Analysis · 2008 · 936 citations · Full text

Galerkin Finite Element Approximations of Stochastic Elliptic Partial Differential Equations

Ivo Babuška, Raúl Tempone, Georgios E. Zouraris · SIAM Journal on Numerical Analysis · 2004 · 840 citations

Numerical Analysis, Finite Element Method, Engineering +15

Interpolation and Approximation.

Morris Newman, Philip J. Davis · American Mathematical Monthly · 1965 · 803 citations

Numerical Analysis, Engineering, Interpolation Space +4

The stochastic finite-element method

Humberto Contreras · Computers & Structures · 1980 · 646 citations

Numerical Analysis, Finite Element Method, Numerical Computation +4