Nguyen Van Kien. Optimality conditions for change of variable operators in Sobolev spaces with mixed derivatives. Analysis Mathematica, 0 (2026).

Nguyen Van Kien. Hilbert numbers of Sobolev spaces with mixed smoothness in the sup-norm. Advances in Operator Theory, 11 (2025).

Nguyen Van Kien. Pseudo s-numbers of embeddings of Gaussian weighted Sobolev spaces. Journal of Approximation Theory, 309 (2025).

Nguyen Van Kien. Analyticity of parametric elliptic eigenvalue problems and applications to quasi-Monte Carlo methods. Complex Variables and Elliptic Equations, 69 (2024).

Dinh Dung, Nguyen Van Kien. Optimal numerical integration and approximation of functions on Rd equipped with Gaussian measure. IMA Journal of Numerical Analysis, 44 (2024).

Dinh Dung, Pham Thanh Duong, Nguyen Van Kien. Deep ReLU neural network approximation in Bochner spaces and applications to parametric PDEs. Journal of Complexity, 79 (2023).

Nguyen Van Kien, Nguyen Van Dung. Best n-Term Approximation of Diagonal Operators and Application to Function Spaces with Mixed Smoothness. Analysis Mathematica, 48 (2022).

Nguyen Van Kien, Nguyen Van Dung, Winfried Sickel. s-Numbers of embeddings of weighted Wiener algebras. Journal of Approximation Theory, Volume 279 (2022).

Dinh Dung, Nguyen Van Kien. Deep ReLU neural networks in high-dimensional approximation. Neural Networks, 142 (2021).

Nguyen Van Kien. Greedy algorithms and Kolmogorov widths in Banach spaces. Journal of Approximation Theory, 251 (2020).

Markus Bachmayr, Robert Scheichl, Nguyen Van Kien, Ivan G. Graham. Unified Analysis of Periodization-Based Sampling Methods for Matern Covariances. SIAM Journal on Numerical Analysis, 58 (2020).

Markus Bachmayr, Nguyen Van Kien. Identifiability of Diffusion Coefficients for Source Terms of Non-Uniform Sign. Inverse Problems and Imaging, 13 (2019).

Nguyen Van Kien, Robert J. Kunsch, Glenn Byrenheid. Monte Carlo methods for uniform approximation on periodic Sobolev spaces with mixed smoothness. Journal of Complexity, 46 (2018).

Nguyen Van Kien, Winfried Sickel. On a Problem of Jaak Peetre Concerning Pointwise Multipliers of Besov Spaces. Studia Mathematica, 243 (2018).

Nguyen Van Kien, Mario Ullrich, Tino Ullrich. Change of Variable in Spaces of Mixed Smoothness and Numerical Integration of Multivariate Functions on the Unit Cube. Constructive Approximation, 46 (2017).

Nguyen Van Kien. Gelfand numbers of embeddings of mixed Besov spaces. Journal of Complexity, 41 (2017).

Nguyen Van Kien, Winfried Sickel. Isotropic and dominating mixed Lizorkin - Triebel spaces - a comparison. Analysis Mathematica, 43 (2017).

Nguyen Van Kien, Winfried Sickel. Pointwise Multipliers for Besov Spaces of Dominating Mixed Smoothness - II. Science China Mathematics, 60 (2017).

Nguyen Van Kien, Winfried Sickel. Pointwise multipliers for Sobolev and Besov spaces of dominating mixed smoothness. Journal of Mathematical Analysis and Applications, 452 (2017).

Nguyen Van Kien. Weyl and Bernstein numbers of embeddings of Sobolev spaces with dominating mixed smoothness. Journal of Complexity, 36 (2016).

Nguyen Van Kien. Bernstein numbers of embeddings of isotropic and dominating mixed Besov spaces. Mathematische Nachrichten, 288 (2015).

Nguyen Van Kien, Winfried Sickel. Weyl numbers of embeddings of tensor product Besov spaces. Journal of Approximation Theory, 200 (2015).

Nguyen Van Kien, Winfried Sickel. Isotropic and dominating mixed Besov spaces - a comparison. Contemporary Mathematics, AMS, 693 (2017).

Nguyễn Văn Kiên, Đinh Dũng, Mai Xuân Thảo. Computation complexity of deep ReLU neural networks in high-dimensional approximation. Tạp chí Tin học và Điều khiển học, 37 (2021).

Nguyễn Văn Kiên, Nguyễn Anh Ngọc, Dư Thị Thu Trang, Phạm Thành Dương. Xấp xỉ phương trình đạo hàm riêng phụ thuộc tham số bằng mạng neuron sâu. Hội thảo về Giảng dạy và Nghiên cứu khoa học cơ bản năm 2024 (2024).