cahn-hilliard equation 1energy stability 1invariant quadratization 1pseudo-spectral methods 1symplectic integrators 1
From the 1 of 3 linked papers with an AI index.
3 papers
math.NA2026
Algebraic Invariant Quadratization Schemes for Cahn--Hilliard Equations
Fei Xie, Nan Lu, Yajuan Sun
The paper introduces an Algebraic Invariant Quadratization (AIQ) framework with auxiliary Casimir variables, combined with symplectic Runge‑Kutta time stepping and Fourier pseudo‑s…
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…