3 papers
math.NA2026
Algebraic Invariant Quadratization Schemes for Cahn--Hilliard Equations
Fei Xie, Nan Lu, Yajuan Sun
In this paper, we propose the Algebraic Invariant Quadratization (AIQ) framework for rational-like energy functions by introducing auxiliary variables, which are interpreted as Cas…
math.NA2026
Energy stable auxiliary variable method for Cahn--Hilliard equations
Fei Xie, Nan Lu, Yajuan Sun
In this paper, we propose a quadratic reformulation theory for rational-like functions. Based on this theory, we develop the Quadratic Conservation Elevation (QCE) method, which co…
math.NA2024
Variational Discretizations for Hamiltonian Systems
Yihan Shen, Yajuan Sun
In this paper, we study the Lagrangian functions for a class of second-order differential systems arising from physics. For such systems, we present necessary and sufficient condit…