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math.NA2026
Exponential Time Differencing Schemes for a Phase-Field Model of Multicomponent Membranes
Wangbo Luo, Zhonghua Qiao, Yanxiang Zhao
In this paper, we develop and analyze exponential time differencing (ETD) schemes for a phase-field model of multicomponent membranes proposed in our previous work \cite{luo2025oht…
math.NA2025
Double Fourier Sphere Methods with Low Rank Approximation for Block Copolymer Systems on Sphere
Wangbo Luo, Yanxiang Zhao
We introduce spectral methods for the Ohta-Kawasaki (OK) and Nakazawa-Ohta (NO) models on a spherical domain, examining their coarsening dynamics and equilibrium pattern formations…
math.NA2024
Ultraspherical Spectral Method for Block Copolymer Systems on Unit Disk
Wangbo Luo, Yanxiang Zhao
In this paper, we investigate ultraspherical spectral method for the Ohta-Kawasaki (OK) and Nakazawa-Ohta (NO) models in the disk domain, representing diblock and triblock copolyme…