Projected Runge-Kutta methods for constrained Hamiltonian systems
作者： Yi Wei , Zichen Deng , Qingjun Li , Bo Wang
DOI: 10.1007/S10483-016-2119-8
关键词:
摘要: Projected Runge-Kutta (R-K) methods for constrained Hamiltonian systems are proposed. Dynamic equations of the systems, which index-3 differential-algebraic (DAEs) in Heisenberg form, established under framework Lagrangian multipliers. R-K combined with technique projections then used to solve DAEs. The basic idea is eliminate constraint violations at position, velocity, and acceleration levels, preserve total energy by correcting variables acceleration, energy. Numerical results confirm validity show high precision proposed method preserving three levels constraints compared reported literature.
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