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math.NA2026
A novel efficient structure-preserving exponential integrator for Hamiltonian systems
Pan Zhang, Fengyang Xiao, Lu Li
We propose a linearly implicit structure-preserving numerical method for semilinear Hamiltonian systems with polynomial nonlinearities, combining Kahan's method and exponential int…
math.NA2024
High-order Structure-preserving Methods for Damped Hamiltonian System
Lu Li
We present a novel methodology for constructing arbitrarily high-order structure-preserving methods tailored for damped Hamiltonian systems. This method combines the idea of expone…