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math.NA2026
A new class of efficient linear higher-order schemes for the Landau-Lifshitz-Gilbert equation with reduced restriction on the damping parameter
Fukeng Huang, Binghong Li, Xiaoli Li +1
Classical high-order backward differentiation formula (BDF) methods for the Landau-Lifshitz-Gilbert (LLG) equation often suffer from restrictive stability constraints, requiring sm…
math.NA2026
A unified framework of energy-stable splitting exponential integrators for damped Hamiltonian systems
Lu Li, Xiaoli Li, Zaijiu Shang +1
In this work, we study long-time numerical integration of Hamiltonian systems subject to linear perturbations. By introducing an energy-induced metric, we establish a straightforwa…
math.NA2023★ 1 cited
High-efficiency and positivity-preserving stabilized SAV methods for gradient flows
Zhengguang Liu, Yanrong Zhang, Xiaoli Li
The scalar auxiliary variable (SAV)-type methods are very popular techniques for solving various nonlinear dissipative systems. Compared to the semi-implicit method, the baseline S…