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- Nanjing UniversityCN348 papers
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12 papers · 2 filters
Efficient energy-preserving methods for charged-particle dynamics
Ting Li, Bin Wang
In this paper, energy-preserving methods are formulated and studied for solving charged-particle dynamics. We first formulate the scheme of energy-preserving methods and analyze it…
Symmetric and symplectic exponential integrators for nonlinear Hamiltonian systems
Yajun Wu, Bin Wang
This letter studies symmetric and symplectic exponential integrators when applied to numerically computing nonlinear Hamiltonian systems. We first establish the symmetry and symple…
Long-term analysis of exponential integrators for highly oscillatory conservative systems
Bin Wang, Jiyong Li, Yonglei Fang
In this paper, we investigate the long-time near-conservations of energy and kinetic energy by the widely used exponential integrators to highly oscillatory conservative systems. T…
Long-time momentum and actions behaviour of energy-preserving methods for semilinear wave equations via spatial spectral semi-discretizations
Bin Wang, Xinyuan Wu
As is known that wave equations have physically very important properties which should be respected by numerical schemes in order to predict correctly the solution over a long time…
Long-time oscillatory energy conservation of total energy-preserving methods for highly oscillatory Hamiltonian systems
Bin Wang, Xinyuan Wu
For an integrator when applied to a highly oscillatory system, the near conservation of the oscillatory energy over long times is an important aspect. In this paper, we study the l…
Volume-preserving exponential integrators
Bin Wang, Xinyuan Wu
As is known that various dynamical systems including all Hamiltonian systems preserve volume in phase space. This qualitative geometrical property of the analytical solution should…