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cond-mat.soft2025
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.…
math.NA2025
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.…