3 papers
math.NA2026
Elliptic PDEs on log-Gaussian Shapes: Sparsity and Finite Element Discretization
Dinh DÅ©ng, Helmut Harbrecht, Van Kien Nguyen +1
In this article, we consider the solution to elliptic diffusion problems on a class of random domains obtained by log-Gaussian random homothety of the unit disk respectively an ann…
math.NA2026
Sparsity for parametric PDEs with log-gamma random inputs and applications
Dinh DÅ©ng, Van Kien Nguyen, Viet Ha Hoang
We propose a novel method for establishing the sparsity of the coefficients of the Laguerre generalized polynomial chaos expansion of solutions to parametric elliptic PDEs with log…
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…