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math.NA2026
Numerical Construction of Quasi-Periodic Solutions for Nonlinear PDEs: I. Bounded Perturbation
Mingwei Fu, Bin Shi
In this paper, we propose an alternating numerical scheme for constructing quasi-periodic solutions to a class of nonlinear partial differential equations (PDEs) with bounded pertu…
math.NA2026
Numerical Construction of Elliptic Lower-Dimensional Quasi-Periodic Solutions with a Priori Bound
Mingwei Fu, Bin Shi
A numerical framework for constructing full-dimensional quasi-periodic solutions in nearly integrable systems was recently developed by Fu and Shi[2026]. Based on an alternating sc…
math.NA2026
Numerical Construction of Quasi-Periodic Solutions Beyond Symplectic Integrators
Mingwei Fu, Bin Shi
Symplectic integrators are the established standard for long-term simulations of nearly-integrable Hamiltonian systems due to their preservation of geometric structures. However, t…