activity
20162019
most citedMDFEM: Multivariate decomposition finite element method for elliptic PDEs with lognormal diffusion coefficients using higher-order QMC and FEM

7 citations · 11 across the 2 of their papers we have counts for

collaborators

3 papers

math.NA2019★ 7 cited

MDFEM: Multivariate decomposition finite element method for elliptic PDEs with lognormal diffusion coefficients using higher-order QMC and FEM

Dong T. P. Nguyen, Dirk Nuyens

We introduce the multivariate decomposition finite element method for elliptic PDEs with lognormal diffusion coefficient where is a Gaussian random field defined by…

math.NA2018★ 4 cited

MDFEM: Multivariate decomposition finite element method for elliptic PDEs with uniform random diffusion coefficients using higher-order QMC and FEM

Dong T. P. Nguyen, Dirk Nuyens

We introduce the multivariate decomposition finite element method (MDFEM) for solving elliptic PDEs with uniform random diffusion coefficients. We show that the MDFEM can be used t…

math.NA2016

Multivariate integration over with exponential rate of convergence

Dong T. P. Nguyen, Dirk Nuyens

In this paper we analyze the approximation of multivariate integrals over the Euclidean plane for functions which are analytic. We show explicit upper bounds which attain the expon…