摘要
By using the discrete variational method,we study the numerical method of the general nonholonomic system in the generalized Birkhoffian framework,and construct a numerical method of generalized Birkhoffian equations called a self-adjoint-preserving algorithm.Numerical results show that it is reasonable to study the nonholonomic system by the structure-preserving algorithm in the generalized Birkhoffian framework.
By using the discrete variational method,we study the numerical method of the general nonholonomic system in the generalized Birkhoffian framework,and construct a numerical method of generalized Birkhoffian equations called a self-adjoint-preserving algorithm.Numerical results show that it is reasonable to study the nonholonomic system by the structure-preserving algorithm in the generalized Birkhoffian framework.
基金
Project supported by the National Natural Science Foundation of China(Grant Nos.11472124,11572145,11202090,and 11301350)
the Doctor Research Start-up Fund of Liaoning Province,China(Grant No.20141050)
the China Postdoctoral Science Foundation(Grant No.2014M560203)
the General Science and Technology Research Plans of Liaoning Educational Bureau,China(Grant No.L2013005)
