1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.NA2026
A mesh- and horizon-robust preconditioner for finite element discretizations of volume-constrained nonlocal diffusion problems
Jiashu Lu, Yufeng Nie, Haolun Zhang +1
In this paper, we develop a preconditioner that is robust with respect to both the mesh size and the interaction horizon for finite element discretizations of volume-constrained no…
math.NA2026
A nonlocal nonlinear Schrödinger model: well-posedness, local limit, and structure-preserving asymptotically compatible Fourier approximations
Jiashu Lu, Yufeng Nie, Xinning Xie +1
In this paper, we introduce a nonlocal nonlinear Schrödinger (NLS) model on periodic domains, and establish its well-posedness, conservation laws, local limit, dispersion propertie…
math.NA2016★ 1 cited
An exponential B-spline collocation method for fractional sub-diffusion equation
X. G. Zhu, Y. F. Nie, Z. B. Yuan +2
In this article, we propose an exponential B-spline collocation method to approximate the solution of the fractional sub-diffusion equation of Caputo type. The present method is ge…