4 papers
Numerical Investigation of Single-Core to Split-Core Transitions in Nematic Liquid Crystals
Daniel Siebel-Cortopassi, Pei Liu
We analyze single-core and split-core defect structures in nematic liquid crystals within the Landau-de Gennes framework by studying minimizers of the associated energy functional.…
Asymptotic Error Analysis of Gauss Quadrature for Nonsmooth Functions
Pei Liu
We derive an asymptotic error formula for Gauss--Legendre quadrature applied to functions with limited regularity, using the contour-integral representation of the remainder term.…
On a class of non-integer dimensional continuous functions with one unbounded variation point
Pei-Zhi Liu, Yong-Shun Liang, Jun-Ru Wu
This paper constructs a class of non-integer dimensional continuous functions with one unbounded variation point, discusses their Hölder condition and variation on their domains. S…
3-Lie algebra -modules and induced modules
Ruipu Bai, Yue Ma, Pei Liu
In this paper, we define the induced modules of Lie algebra ad associated with a 3-Lie algebra -module, and study the relation between 3-Lie algebra -modules and ind…