Sparse tensor discretizations of high-dimensional parametric and stochastic PDEs. - Christoph Schwab; Claude Jeffrey Gittelson (Acta Numer., 2011)

An adaptive stochastic Galerkin method for random elliptic operators. - Claude Jeffrey Gittelson (Math. Comput., 2013)

The multi-level Monte Carlo finite element method for a stochastic Brinkman Problem. - Claude Jeffrey Gittelson; Juho Könnö; Christoph Schwab; Rolf Stenberg (Numerische Mathematik, 2013)

Convergence Rates of Multilevel and Sparse Tensor Approximations for a Random Elliptic PDE. - Claude Jeffrey Gittelson (SIAM J. Numer. Anal., 2013)

High-order methods as an alternative to using sparse tensor products for stochastic Galerkin FEM. - Claude Jeffrey Gittelson (Comput. Math. Appl., 2014)

Optimality of adaptive Galerkin methods for random parabolic partial differential equations. - Claude Jeffrey Gittelson; Roman Andreev; Christoph Schwab (J. Comput. Appl. Math., 2014)

Adaptive wavelet methods for elliptic partial differential equations with random operators. - Claude Jeffrey Gittelson (Numerische Mathematik, 2014)

A Stochastic Collocation Algorithm with Multifidelity Models. - Akil Narayan 001; Claude Jeffrey Gittelson; Dongbin Xiu (SIAM J. Sci. Comput., 2014)

Local Polynomial Chaos Expansion for Linear Differential Equations with High Dimensional Random Inputs. - Yi Chen; John D. Jakeman; Claude Jeffrey Gittelson; Dongbin Xiu (SIAM J. Sci. Comput., 2015)