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Dinh Dung

Orcid: 0000-0003-2333-5623

According to our database¹, Dinh Dung authored at least 34 papers between 2001 and 2024.

Collaborative distances:

Dijkstra number² of five.
Erdős number³ of five.

Timeline

Legend:

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PhD thesis

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Online presence:

on orcid.org

On csauthors.net:

Bibliography

2024

Sampling recovery in Bochner spaces and applications to parametric PDEs with random inputs.

[BibT_eX]

[DOI]

,

CoRR, 2024

Weighted hyperbolic cross polynomial approximation.

[BibT_eX]

[DOI]

CoRR, 2024

Weighted sampling recovery of functions with mixed smoothness.

[BibT_eX]

[DOI]

CoRR, 2024

2023

Deep ReLU neural network approximation in Bochner spaces and applications to parametric PDEs.

[BibT_eX]

[DOI]

,

Van Kien Nguyen

,

Duong Thanh Pham

J. Complex., December, 2023

Numerical weighted integration of functions having mixed smoothness.

[BibT_eX]

[DOI]

J. Complex., October, 2023

Sparse-grid sampling recovery and numerical integration of functions having mixed smoothness.

[BibT_eX]

[DOI]

CoRR, 2023

2022

Optimal numerical integration and approximation of functions on R<sup>d</sup> equipped with Gaussian measure.

[BibT_eX]

[DOI]

,

Van Kien Nguyen

CoRR, 2022

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

[BibT_eX]

[DOI]

,

Van Kien Nguyen

,

Christoph Schwab

,

CoRR, 2022

2021

Deep ReLU neural networks in high-dimensional approximation.

[BibT_eX]

[DOI]

,

Van Kien Nguyen

Neural Networks, 2021

Deep ReLU neural network approximation of parametric and stochastic elliptic PDEs with lognormal inputs.

[BibT_eX]

[DOI]

,

Van Kien Nguyen

,

Duong Thanh Pham

CoRR, 2021

Collocation approximation by deep neural ReLU networks for parametric elliptic PDEs with lognormal inputs.

[BibT_eX]

[DOI]

CoRR, 2021

Computation complexity of deep ReLU neural networks in high-dimensional approximation.

[BibT_eX]

[DOI]

,

Van Kien Nguyen

,

CoRR, 2021

High-dimensional nonlinear approximation by parametric manifolds in Hölder-Nikol'skii spaces of mixed smoothness.

[BibT_eX]

[DOI]

,

Van Kien Nguyen

CoRR, 2021

2020

Dimension-dependent error estimates for sampling recovery on Smolyak grids based on B-spline quasi-interpolation.

[BibT_eX]

[DOI]

,

J. Approx. Theory, 2020

Approximation by linear combinations of translates of a single function.

[BibT_eX]

[DOI]

,

Charles A. Micchelli

,

CoRR, 2020

Sparse-grid sampling recovery and deep ReLU neural networks in high-dimensional approximation.

[BibT_eX]

[DOI]

,

Van Kien Nguyen

CoRR, 2020

2019

Approximation by translates of a single function of functions in space induced by the convolution with a given function.

[BibT_eX]

[DOI]

,

Charles A. Micchelli

,

Appl. Math. Comput., 2019

2018

ε-dimension in infinite dimensional hyperbolic cross approximation and application to parametric elliptic PDEs.

[BibT_eX]

[DOI]

,

Michael Griebel

,

,

Christian Rieger

J. Complex., 2018

2017

Fully Discrete Approximation of Parametric and Stochastic Elliptic PDEs.

[BibT_eX]

[DOI]

Markus Bachmayr

,

,

,

Christoph Schwab

SIAM J. Numer. Anal., 2017

2016

Corrigendum to "Multivariate approximation by translates of the Korobov function on Smolyak grids" [J. Complexity 29 (2013) 424-437].

[BibT_eX]

[DOI]

,

Charles A. Micchelli

J. Complex., 2016

Hyperbolic cross approximation in infinite dimensions.

[BibT_eX]

[DOI]

,

Michael Griebel

J. Complex., 2016

New explicit-in-dimension estimates for the cardinality of high-dimensional hyperbolic crosses and approximation of functions having mixed smoothness.

[BibT_eX]

[DOI]

,

J. Complex., 2016

Sampling on energy-norm based sparse grids for the optimal recovery of Sobolev type functions in H<sup>γ</sup>.

[BibT_eX]

[DOI]

Glenn Byrenheid

,

,

Winfried Sickel

,

J. Approx. Theory, 2016

Sampling and Cubature on Sparse Grids Based on a B-spline Quasi-Interpolation.

[BibT_eX]

[DOI]

Found. Comput. Math., 2016

2013

Multivariate approximation by translates of the Korobov function on Smolyak grids.

[BibT_eX]

[DOI]

,

Charles A. Micchelli

J. Complex., 2013

Continuous algorithms in adaptive sampling recovery.

[BibT_eX]

[DOI]

J. Approx. Theory, 2013

N-Widths and ε-Dimensions for High-Dimensional Approximations.

[BibT_eX]

[DOI]

,

Found. Comput. Math., 2013

2012

Erratum to: Optimal adaptive sampling recovery.

[BibT_eX]

[DOI]

Adv. Comput. Math., 2012

2011

B-spline quasi-interpolant representations and sampling recovery of functions with mixed smoothness.

[BibT_eX]

[DOI]

J. Complex., 2011

Whitney type inequalities for local anisotropic polynomial approximation.

[BibT_eX]

[DOI]

,

J. Approx. Theory, 2011

Optimal adaptive sampling recovery.

[BibT_eX]

[DOI]

Adv. Comput. Math., 2011

2009

Non-linear sampling recovery based on quasi-interpolant wavelet representations.

[BibT_eX]

[DOI]

Adv. Comput. Math., 2009

2005

Polynomial projectors preserving homogeneous partial differential equations.

[BibT_eX]

[DOI]

,

Jean-Paul Calvi

,

Nguyên Tiên Trung

J. Approx. Theory, 2005

2001

Non-linear Approximations Using Sets of Finite Cardinality or Finite Pseudo-dimension.

[BibT_eX]

[DOI]

J. Complex., 2001

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