13 citations · 13 across the 3 of their papers we have counts for
3 papers
math.NA2025
A fifth-order absolutely convergent fixed-point fast sweeping hybrid alternative WENO scheme for steady state of hyperbolic conservation laws
Liang Li, Jun Zhu, Shanqin Chen +1
In this paper, we extend the previous work on absolutely convergent fixed-point fast sweeping WENO methods by Li et al. (J. Comput. Phys. 443: 110516, 2021) and design a fifth-orde…
math.NA2018★ 13 cited
Krylov implicit integration factor discontinuous Galerkin methods on sparse grids for high dimensional reaction-diffusion equations
Yuan Liu, Yingda Cheng, Shanqin Chen +1
Computational costs of numerically solving multidimensional partial differential equations (PDEs) increase significantly when the spatial dimensions of the PDEs are high, due to la…
math.NA2018
Third order WENO scheme on sparse grids for hyperbolic equations
Dong Lu, Shanqin Chen, Yong-Tao Zhang
The weighted essentially non-oscillatory (WENO) schemes are a popular class of high order accurate numerical methods for solving hyperbolic partial differential equations (PDEs). T…