Dũng Dinh

activity

20102026

most citedHyperbolic Cross Approximation

26 citations · 46 across the 28 of their papers we have counts for

collaborators

Showing 2022Show all

3 papers · 1 filter

math.NA2022

Numerical weighted integration of functions having mixed smoothness

Dinh Dũng

We investigate the approximation of weighted integrals over $R^{d}$ for integrands from weighted Sobolev spaces of mixed smoothness. We prove upper and lower bounds of the c…

math.NA2022

Optimal numerical integration and approximation of functions on $R^{d}$ equipped with Gaussian measure

Dinh Dũng, Van Kien Nguyen

We investigate the numerical approximation of integrals over $R^{d}$ equipped with the standard Gaussian measure $γ$ for integrands belonging to the Gaussian-weighted Sobole…

math.NA2022★ 3 cited

Analyticity and sparsity in uncertainty quantification for PDEs with Gaussian random field inputs

Dinh Dũng, Van Kien Nguyen, Christoph Schwab +1

We establish sparsity and summability results for coefficient sequences of Wiener-Hermite polynomial chaos expansions of countably-parametric solutions of linear elliptic and parab…

Numerical weighted integration of functions having mixed smoothness

Optimal numerical integration and approximation of functions on Rd equipped with Gaussian measure

Analyticity and sparsity in uncertainty quantification for PDEs with Gaussian random field inputs

Optimal numerical integration and approximation of functions on $R^{d}$ equipped with Gaussian measure