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Van Kien Nguyen
Van Kien Nguyen
University of Transport and Communications, Hanoi, Vietnam
Verified email at utc.edu.vn - Homepage
Title
Cited by
Cited by
Year
Change of variable in spaces of mixed smoothness and numerical integration of multivariate functions on the unit cube
VK Nguyen, M Ullrich, T Ullrich
Constructive Approximation 46, 69-108, 2017
402017
Deep ReLU neural networks in high-dimensional approximation
D Dũng, VK Nguyen
Neural Networks 142, 619-635, 2021
242021
Analyticity and sparsity in uncertainty quantification for PDEs with Gaussian random field inputs
D Dũng, VK Nguyen, C Schwab, J Zech
arXiv preprint arXiv:2201.01912, 2022
162022
Unified analysis of periodization-based sampling methods for Matérn covariances
M Bachmayr, IG Graham, VK Nguyen, R Scheichl
SIAM Journal on Numerical Analysis 58 (5), 2953-2980, 2020
122020
Weyl numbers of embeddings of tensor product Besov spaces
W Sickel, VK Nguyen
Journal of Approximation Theory 200, 170-220, 2015
122015
Bernstein numbers of embeddings of isotropic and dominating mixed Besov spaces
VK Nguyen
Mathematische Nachrichten 288 (14-15), 1694-1717, 2015
122015
Pointwise multipliers for Sobolev and Besov spaces of dominating mixed smoothness
W Sickel, VK Nguyen
Journal of Mathematical Analysis and Applications 452 (1), 62-90, 2017
112017
On a problem of Jaak Peetre concerning pointwise multipliers of Besov spaces
VK Nguyen, W Sickel
Studia Mathematica, 2017
112017
Gelfand numbers of embeddings of mixed Besov spaces
VK Nguyen
Journal of Complexity, 2016
82016
Weyl and Bernstein numbers of embeddings of Sobolev spaces with dominating mixed smoothness
VK Nguyen
Journal of Complexity, 2015
82015
Optimal numerical integration and approximation of functions on ℝd equipped with Gaussian measure
D Dũng, V Kien Nguyen
IMA Journal of Numerical Analysis 44 (2), 1242-1267, 2024
72024
Computation complexity of deep ReLU neural networks in high-dimensional approximation
D Dũng, VK Nguyen, MX Thao
arXiv preprint arXiv:2103.00815, 2021
62021
Pointwise multipliers for Besov spaces of dominating mixed smoothness-II
W Sickel, VK Nguyen
Science China Mathematics 60 (11), 2241-2262, 2017
52017
Isotropic and dominating Mixed Besov spaces-a comparison
VK Nguyen, W Sickel
Contemporary Mathematics, DOI: https://doi.org/10.1090/conm/693, 2017
52017
Identifiability of diffusion coefficients for source terms of non-uniform sign
M Bachmayr, VK Nguyen
Inverse Problems and Imaging, 2019, 13(5): 1007-1021, doi: 10.3934/ipi.2019045, 2018
42018
Analyticity of parametric elliptic eigenvalue problems and applications to quasi-Monte Carlo methods
VK Nguyen
Complex Variables and Elliptic Equations 69 (1), 1-21, 2024
22024
Deep ReLU neural network approximation in Bochner spaces and applications to parametric PDEs
D Dũng, DT Pham
Journal of Complexity 79, 101779, 2023
22023
Best n-term approximation of diagonal operators and application to function spaces with mixed smoothness
VK Nguyen, VD Nguyen
Analysis Mathematica 48 (4), 1127-1152, 2022
22022
Monte Carlo methods for uniform approximation on periodic Sobolev spaces with mixed smoothness
G Byrenheid, RJ Kunsch, VK Nguyen
Journal of Complexity 46, 90-102, 2018
22018
Greedy algorithms and Kolmogorov widths in Banach spaces
VK Nguyen
Journal of Approximation Theory, 2018
22018
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