3 papers
math.FA2026
Widths of embeddings of Gaussian Sobolev spaces
Van Kien Nguyen
In this paper, we investigate the approximation problem for functions in Gaussian Sobolev spaces of smoothness , where the approximation error is m…
math.NA2026
Optimal numerical integration for functions in fractional Gaussian Sobolev spaces
Van Kien Nguyen
This paper investigates the numerical approximation of integrals for functions in fractional Gaussian Sobolev spaces with dominating mixed smoothness def…
math.NA2026
Approximation of PDE solution manifolds: Sparse-grid interpolation and quadrature
Dinh DÅ©ng, Van Kien Nguyen, Duong Thanh Pham +1
We study fully-discrete approximations and quadratures of infinite-variate functions in abstract Bochner spaces associated with a Hilbert space and an infinite-tensor-product J…