2 citations · 3 across the 4 of their papers we have counts for
7 papers
Analyticity of Parametric Elliptic Eigenvalue Problems and Applications to Quasi-Monte Carlo Methods
Van Kien Nguyen
In the present paper, we study the analyticity of the leftmost eigenvalue of the linear elliptic partial differential operator with random coefficient and analyze the convergence r…
Best -term approximation of diagonal operators and application to function spaces with mixed smoothness
Van Kien Nguyen, Van Dung Nguyen
In this paper we give exact values of the best -term approximation widths of diagonal operators between and with . Th…
High-dimensional nonlinear approximation by parametric manifolds in Hölder-Nikol'skii spaces of mixed smoothness
Dinh Dũng, Van Kien Nguyen
We study high-dimensional nonlinear approximation of functions in Hölder-Nikol'skii spaces on the unit cube having mixed smoothne…
-Numbers of Embeddings of Weighted Wiener Algebras
Van Dung Nguyen, Van Kien Nguyen, Winfried Sickel
In this paper we study the asymptotic behavior of Kolmogorov, approximation, Bernstein and Weyl numbers of embeddings $ \mathcal{A}^{s,r}_{\rm mix}(\mathbb{T}^d) \to L_2(\mathbb{T}…
Unified Analysis of Periodization-Based Sampling Methods for Matérn Covariances
Markus Bachmayr, Ivan G. Graham, Van Kien Nguyen +1
The periodization of a stationary Gaussian random field on a sufficiently large torus comprising the spatial domain of interest is the basis of various efficient computational meth…
Greedy Algorithms and Kolmogorov Widths in Banach Spaces
Van Kien Nguyen
Let be a Banach space and be a compact subset in . We consider a greedy algorithm for finding an -dimensional subspace which can be used to a…