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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…
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. We assume the energy-compatible linear-damping condition, which ensur…
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…
Efficient and accurate exponential SAV algorithms with relaxation for dissipative system
Yanrong Zhang, Xiaoli Li
In this paper, we construct two kinds of exponential SAV approach with relaxation (R-ESAV) for dissipative system. The constructed schemes are linear and unconditionally energy sta…