3 papers
math.NA2026
Stability and error analysis of fully discrete original energy-dissipative and length-preserving scheme for the Landau-Lifshitz-Gilbert equation
Binghong Li, Xiaoli Li, Cheng Wang +1
The Landau-Lifshitz-Gilbert (LLG) equation, regarded as a gradient flow with manifold constraint, is the fundamental model describing magnetization dynamics in ferromagnetic materi…
math.NA2026
Stability and convergence of multi-product expansion splitting methods with negative weights for semilinear parabolic equations
Xianglong Duan, Chaoyu Quan, Jiang Yang +1
The operator splitting method has been widely used to solve differential equations by splitting the equation into more manageable parts. In this work, we resolves a long-standing p…
math.NA2026
Stability and convergence analysis of unconditionally original energy dissipative implicit-explicit Runge--Kutta methods for the phase field crystal models without Lipschitz assumptions
Xiaoli Li, Kaiyi Niu, Jiang Yang
The phase field crystal (PFC) method is an efficient technique for simulating the evolution of crystalline microstructures at atomistic length scales and diffusive time scales. Due…