3 papers
math.NA2026
High-order complete flux schemes for convection-diffusion equations on arbitrary subdivisions
Peng Yang, Wenyu Lei, Liwei Xu
We develop a novel complete flux finite volume method for convection-diffusion equations on arbitrary subdivisions in two and three dimensions. Unlike standard finite volume discre…
math.NA2026
Whittle-Matérn Fields with Variable Smoothness
Hamza Ruzayqat, Wenyu Lei, David Bolin +2
We introduce and analyze a nonlocal generalization of Whittle--Matérn Gaussian fields in which the smoothness parameter varies in space through the fractional order, $s=s(x)\in[\u…
math.NA2024
Numerical Approximation of Gaussian random fields on Closed Surfaces
Andrea Bonito, Diane Guignard, Wenyu Lei
We consider the numerical approximation of Gaussian random fields on closed surfaces defined as the solution to a fractional stochastic partial differential equation (SPDE) with ad…