2 papers
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.OC2025
A class of generalized Nesterov's accelerated gradient method from dynamical perspective
Xu Cheng, Jiaqi Liu, Zaijiu Shang
We propose a class of \textit{Euler-Lagrange} equations indexed by a pair of parameters () that generalizes Nesterov's accelerated gradient methods for convex () and st…