1 citations · 1 across the 2 of their papers we have counts for
7 papers
Local Gevrey regularity and Quasi-Monte Carlo quadrature for PDEs parameterized on non-compact domains
Dinh Dũng, Tùng Lê, Alexey Chernov
We establish local Gevrey regularity for the weak solution to parametric divergence-form diffusion elliptic PDEs, assuming the diffusion coefficient itself possesses local Gevrey p…
Laguerre- and Laplace-weighted integration of mixed-smoothness functions
Dinh Dũng
We investigate the approximation of generalized Laguerre- or Laplace-weighted integrals over or of functions from generalized Laguerre- or Laplace-w…
Simultaneous spatial-parametric collocation approximation for parametric PDEs with log-normal random inputs
Dinh Dũng
We establish convergence rates for a fully discrete, multi-level, linear collocation method solving parametric elliptic PDEs on bounded polygonal domains with log-normal inputs. Th…
Sampling recovery in Bochner spaces and applications to parametric PDEs
Felix Bartel, Dinh Dũng
We prove convergence rates of linear sampling recovery of functions in abstract Bochner spaces satisfying weighted summability of their generalized polynomial chaos expansion coeff…
Weighted hyperbolic cross polynomial approximation
Dinh Dũng
We study linear polynomial approximation of functions in weighted Sobolev spaces of mixed smoothness , and their optimality in terms of…
Weighted sampling recovery of functions with mixed smoothness
Dinh Dũng
We studied linear weighted sampling algorithms and their optimality for approximate recovery of functions with mixed smoothness on from a set of their sampled va…