Non-linear Approximations Using Sets of Finite Cardinality or Finite Pseudo-dimension. - Dinh Dung (J. Complex., 2001)

Polynomial projectors preserving homogeneous partial differential equations. - Dinh Dung; Jean-Paul Calvi; Nguyên Tiên Trung (J. Approx. Theory, 2005)

Non-linear sampling recovery based on quasi-interpolant wavelet representations. - Dinh Dung (Adv. Comput. Math., 2009)

Optimal adaptive sampling recovery. - Dinh Dung (Adv. Comput. Math., 2011)

Whitney type inequalities for local anisotropic polynomial approximation. - Dinh Dung; Tino Ullrich (J. Approx. Theory, 2011)

B-spline quasi-interpolant representations and sampling recovery of functions with mixed smoothness. - Dinh Dung (J. Complex., 2011)

Erratum to: Optimal adaptive sampling recovery. - Dinh Dung (Adv. Comput. Math., 2012)

N-Widths and ε-Dimensions for High-Dimensional Approximations. - Dinh Dung; Tino Ullrich (Found. Comput. Math., 2013)

Continuous algorithms in adaptive sampling recovery. - Dinh Dung (J. Approx. Theory, 2013)

Multivariate approximation by translates of the Korobov function on Smolyak grids. - Dinh Dung; Charles A. Micchelli (J. Complex., 2013)

Sampling and Cubature on Sparse Grids Based on a B-spline Quasi-Interpolation. - Dinh Dung (Found. Comput. Math., 2016)

Sampling on energy-norm based sparse grids for the optimal recovery of Sobolev type functions in Hγ. - Glenn Byrenheid; Dinh Dung; Winfried Sickel; Tino Ullrich (J. Approx. Theory, 2016)

New explicit-in-dimension estimates for the cardinality of high-dimensional hyperbolic crosses and approximation of functions having mixed smoothness. - Alexey Chernov; Dinh Dung (J. Complex., 2016)

Hyperbolic cross approximation in infinite dimensions. - Dinh Dung; Michael Griebel (J. Complex., 2016)

Corrigendum to "Multivariate approximation by translates of the Korobov function on Smolyak grids" [J. Complexity 29 (2013) 424-437]. - Dinh Dung; Charles A. Micchelli (J. Complex., 2016)

Fully Discrete Approximation of Parametric and Stochastic Elliptic PDEs. - Markus Bachmayr; Albert Cohen 002; Dinh Dung; Christoph Schwab (SIAM J. Numer. Anal., 2017)

ε-dimension in infinite dimensional hyperbolic cross approximation and application to parametric elliptic PDEs. - Dinh Dung; Michael Griebel; Vu Nhat Huy; Christian Rieger (J. Complex., 2018)

Approximation by translates of a single function of functions in space induced by the convolution with a given function. - Dinh Dung; Charles A. Micchelli; Vu Nhat Huy (Appl. Math. Comput., 2019)

Sparse-grid sampling recovery and deep ReLU neural networks in high-dimensional approximation. - Dinh Dung; Van Kien Nguyen (CoRR, 2020)

Approximation by linear combinations of translates of a single function. - Dinh Dung; Charles A. Micchelli; Vu Nhat Huy (CoRR, 2020)

Dimension-dependent error estimates for sampling recovery on Smolyak grids based on B-spline quasi-interpolation. - Dinh Dung; Mai Xuan Thao (J. Approx. Theory, 2020)

High-dimensional nonlinear approximation by parametric manifolds in Hölder-Nikol'skii spaces of mixed smoothness. - Dinh Dung; Van Kien Nguyen (CoRR, 2021)

Computation complexity of deep ReLU neural networks in high-dimensional approximation. - Dinh Dung; Van Kien Nguyen; Mai Xuan Thao (CoRR, 2021)

Collocation approximation by deep neural ReLU networks for parametric elliptic PDEs with lognormal inputs. - Dinh Dung (CoRR, 2021)

Deep ReLU neural network approximation of parametric and stochastic elliptic PDEs with lognormal inputs. - Dinh Dung; Van Kien Nguyen; Duong Thanh Pham (CoRR, 2021)

Deep ReLU neural networks in high-dimensional approximation. - Dinh Dung; Van Kien Nguyen (Neural Networks, 2021)

Analyticity and sparsity in uncertainty quantification for PDEs with Gaussian random field inputs. - Dinh Dung; Van Kien Nguyen; Christoph Schwab; Jakob Zech (CoRR, 2022)

Optimal numerical integration and approximation of functions on Rd equipped with Gaussian measure. - Dinh Dung; Van Kien Nguyen (CoRR, 2022)

Sparse-grid sampling recovery and numerical integration of functions having mixed smoothness. - Dinh Dung (CoRR, 2023)

Numerical weighted integration of functions having mixed smoothness. - Dinh Dung (J. Complex., 2023)

Deep ReLU neural network approximation in Bochner spaces and applications to parametric PDEs. - Dinh Dung; Van Kien Nguyen; Duong Thanh Pham (J. Complex., 2023)

Weighted sampling recovery of functions with mixed smoothness. - Dinh Dung (CoRR, 2024)

Weighted hyperbolic cross polynomial approximation. - Dinh Dung (CoRR, 2024)

Sampling recovery in Bochner spaces and applications to parametric PDEs with random inputs. - Felix Bartel; Dinh Dung (CoRR, 2024)

Weighted approximate sampling recovery and integration based on B-spline interpolation and quasi-interpolation. - Dinh Dung (CoRR, 2025)

Simultaneous spatial-parametric collocation approximation for parametric PDEs with log-normal random inputs. - Dinh Dung (CoRR, 2025)