Dinh Dung

Publication Activity (10 Years)

Years Active: 2001-2024
Publications (10 Years): 24

Top Topics

Error Estimates

Polynomial Approximation

Top Venues

J. Approx. Theory

SIAM J. Numer. Anal.

Publications

Dinh Dung
Weighted sampling recovery of functions with mixed smoothness. CoRR (2024)
Dinh Dung
Weighted hyperbolic cross polynomial approximation. CoRR (2024)
Dinh Dung
Sparse-grid sampling recovery and numerical integration of functions having mixed smoothness. CoRR (2023)
Dinh Dung, Van Kien Nguyen, Duong Thanh Pham
Deep ReLU neural network approximation in Bochner spaces and applications to parametric PDEs. J. Complex. 79 (2023)
Dinh Dung
Numerical weighted integration of functions having mixed smoothness. J. Complex. 78 (2023)
Dinh Dung, Van Kien Nguyen, Christoph Schwab, Jakob Zech
Analyticity and sparsity in uncertainty quantification for PDEs with Gaussian random field inputs. CoRR (2022)
Dinh Dung
Numerical weighted integration of functions having mixed smoothness. CoRR (2022)
Dinh Dung, Van Kien Nguyen
equipped with Gaussian measure. CoRR (2022)
Dinh Dung, Van Kien Nguyen, Mai Xuan Thao
Computation complexity of deep ReLU neural networks in high-dimensional approximation. CoRR (2021)
Dinh Dung, Van Kien Nguyen, Duong Thanh Pham
Deep ReLU neural network approximation of parametric and stochastic elliptic PDEs with lognormal inputs. CoRR (2021)
Dinh Dung
Collocation approximation by deep neural ReLU networks for parametric elliptic PDEs with lognormal inputs. CoRR (2021)
Dinh Dung, Van Kien Nguyen
High-dimensional nonlinear approximation by parametric manifolds in Hölder-Nikol'skii spaces of mixed smoothness. CoRR (2021)
Dinh Dung, Van Kien Nguyen
Deep ReLU neural networks in high-dimensional approximation. Neural Networks 142 (2021)
Dinh Dung, Van Kien Nguyen
Sparse-grid sampling recovery and deep ReLU neural networks in high-dimensional approximation. CoRR (2020)
Dinh Dung, Charles A. Micchelli, Vu Nhat Huy
Approximation by linear combinations of translates of a single function. CoRR (2020)
Dinh Dung, Mai Xuan Thao
Dimension-dependent error estimates for sampling recovery on Smolyak grids based on B-spline quasi-interpolation. J. Approx. Theory 250 (2020)
Dinh Dung, Charles A. Micchelli, Vu Nhat Huy
Approximation by translates of a single function of functions in space induced by the convolution with a given function. Appl. Math. Comput. 361 (2019)
Dinh Dung, Michael Griebel, Vu Nhat Huy, Christian Rieger
ε-dimension in infinite dimensional hyperbolic cross approximation and application to parametric elliptic PDEs. J. Complex. 46 (2018)
Markus Bachmayr, Albert Cohen, Dinh Dung, Christoph Schwab
Fully Discrete Approximation of Parametric and Stochastic Elliptic PDEs. SIAM J. Numer. Anal. 55 (5) (2017)
Alexey Chernov, Dinh Dung
New explicit-in-dimension estimates for the cardinality of high-dimensional hyperbolic crosses and approximation of functions having mixed smoothness. J. Complex. 32 (1) (2016)
Dinh Dung
Sampling and Cubature on Sparse Grids Based on a B-spline Quasi-Interpolation. Found. Comput. Math. 16 (5) (2016)
Dinh Dung, Charles A. Micchelli
Corrigendum to "Multivariate approximation by translates of the Korobov function on Smolyak grids" [J. Complexity 29 (2013) 424-437]. J. Complex. 35 (2016)
Glenn Byrenheid, Dinh Dung, Winfried Sickel, Tino Ullrich
. J. Approx. Theory 207 (2016)
Dinh Dung, Michael Griebel
Hyperbolic cross approximation in infinite dimensions. J. Complex. 33 (2016)
Dinh Dung, Tino Ullrich
N-Widths and ε-Dimensions for High-Dimensional Approximations. Found. Comput. Math. 13 (6) (2013)
Dinh Dung, Charles A. Micchelli
Multivariate approximation by translates of the Korobov function on Smolyak grids. J. Complex. 29 (6) (2013)
Dinh Dung
Continuous algorithms in adaptive sampling recovery. J. Approx. Theory 166 (2013)
Dinh Dung
Erratum to: Optimal adaptive sampling recovery. Adv. Comput. Math. 36 (4) (2012)
Dinh Dung
Optimal adaptive sampling recovery. Adv. Comput. Math. 34 (1) (2011)
Dinh Dung
B-spline quasi-interpolant representations and sampling recovery of functions with mixed smoothness. J. Complex. 27 (6) (2011)
Dinh Dung, Tino Ullrich
Whitney type inequalities for local anisotropic polynomial approximation. J. Approx. Theory 163 (11) (2011)
Dinh Dung
Non-linear sampling recovery based on quasi-interpolant wavelet representations. Adv. Comput. Math. 30 (4) (2009)
Dinh Dung, Jean-Paul Calvi, Nguyên Tiên Trung
Polynomial projectors preserving homogeneous partial differential equations. J. Approx. Theory 135 (2) (2005)
Dinh Dung
Non-linear Approximations Using Sets of Finite Cardinality or Finite Pseudo-dimension. J. Complex. 17 (2) (2001)