3 papers
math.NA2026
A semi-generating function approach to the stability of implicit-explicit multistep methods for nonlinear parabolic equations
Hong-lin Liao, Chaoyu Quan, Tao Tang +1
The rigorous stability analysis of high-order implicit-explicit linear multistep (IELM) methods for nonlinear parabolic equations by using discrete energy arguments is a long stand…
math.NA2025
Convergence analysis of a solver for the linear Poisson--Boltzmann model
Xuanyu Liu, Yvon Maday, Chaoyu Quan +1
This work investigates the convergence of a domain decomposition method for the Poisson-Boltzmann model that can be formulated as an interior-exterior transmission problem. To stud…
math.NA2024
A Relaxed Lagrange Multiplier Approach for Phase Field Models
Jinpeng Zhang, Xiaoping Wang, Chaoyu Quan
This paper introduces a novel relaxed Lagrange multiplier (RLM) method for designing efficient and energy-stable numerical schemes for phase-field models. The proposed approach ref…