 Structure-preserving algorithms for dynamical systems:
Our research is on structure-preserving algorithms of dynamical systems, a new branch of computational mathematics, involving --symplectic methods in numerical computations of Hamiltonian systems; --multi-symplectic methods in numerical computations of Hamiltonian partial differential equations; --Lie group methods and other structure-preserving numerical methods for dynamical systems; --discrete integrable systems and numerical and theoretical solitons. We also investigate applications of structure-preserving algorithms of dynamical systems to problems in biology, celestial mechanics, quantum physics and other scientific and engineering fields.
Academic Staff: |
