Projected Runge-Kutta methods for constrained Hamiltonian systems

Author:

Wei Yi,Deng Zichen,Li Qingjun,Wang Bo

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Mechanical Engineering,Mechanics of Materials

Reference40 articles.

1. Zhang, S. Y. and Deng, Z. C. Geometric Integration Theory and Application in Nonlinear Dynamics System (in Chinese), Northwestern Polytechnical University Press, Xi’an (2005)

2. Small, S. J. Runge-Kutta Type Methods for Differential-Algebraic Equations in Mechanics, Ph. D. dissertation, University of Iowa, Iowa (2011)

3. Shabana, A. A. Dynamics of Multibody Systems, 3rd ed., Cambridge University Press, New York (2013)

4. Huang, Y. A., Yin, Z. P., Deng, Z. C., and Xiong, Y. L. Progression in geometric integration method for multibody dynamics (in Chinese). Advances in Mechanics, 39, 44–57 (2009)

5. Zhang, J., Liu, D. H., and Liu, Y. H. A constraint violation suppressing formulation for spatial multibody dynamics with singular mass matrix. Multibody System Dynamics, 36, 87–110 (2016)

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