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math.NA2018★ 1 cited
Symmetric-adjoint and symplectic-adjoint methods and their applications
Geng Sun, Siqing Gan, Hongyu Liu +1
Symmetric method and symplectic method are classical notions in the theory of Runge-Kutta methods. They can generate numerical flows that respectively preserve the symmetry and sym…
math.NA2008
Preservation of stability properties near fixed points of linear hamiltonian systems by symplectic integrators
Xiaohua Ding, Hongyu Liu, Zaijiu Shang +2
Based on reasonable testing model problems, we study the preservation by symplectic Runge-Kutta method (SRK) and symplectic partitioned Runge-Kutta method (SPRK) of structures for…