Hamiltonain Particle Dynamics 法の開発

（シンプレクティック時間積分法の応用）

抄録

Hamiltonian particle dynamics (HPD) is a method to analyze various kinds of scale phenomena from a common viewpoint. The method is based on the Lagrangian particle method and the Hamiltonian formulation of the system. Because the formulation handles impartially with both configuration coordinates and canonical momentum, it is suitable for analyzing dynamic systems such as particle dynamics simulations. However, the method is subject to problems in that the invariants of the system are not conserved in a long-time computation. To solve the problems, symplectic time integrators are introduced and the effectiveness is examined by mathematical and numerical analyses.