separable hamiltonian system
Recently Published Documents


TOTAL DOCUMENTS

6
(FIVE YEARS 0)

H-INDEX

3
(FIVE YEARS 0)

Symmetry ◽  
2019 ◽  
Vol 11 (2) ◽  
pp. 142 ◽  
Author(s):  
Junaid Ahmad ◽  
Yousaf Habib ◽  
Shafiq Rehman ◽  
Azqa Arif ◽  
Saba Shafiq ◽  
...  

A family of explicit symplectic partitioned Runge-Kutta methods are derived with effective order 3 for the numerical integration of separable Hamiltonian systems. The proposed explicit methods are more efficient than existing symplectic implicit Runge-Kutta methods. A selection of numerical experiments on separable Hamiltonian system confirming the efficiency of the approach is also provided with good energy conservation.



2010 ◽  
Vol 40-41 ◽  
pp. 917-923
Author(s):  
Yun Yan Zhang ◽  
Yan Jun Li ◽  
Nan Li

A precise integration algorithm for solving the restricted three body problem was put forward based on precise integration method, which divided a large integration time into small intervals and only small value matrix participates in the iterative process during the computation of the exponent matrix. And another symplectic algorithm for solving non-separable Hamiltonian system constructed by flow complex was also introduced, which only had periodic variational energy. The results of both algorithms were compared with fourth Runge-Kutta algorithm and their performances and advantages were analyzed, showing the validities of these two algorithms.





1997 ◽  
Vol 25 (2-3) ◽  
pp. 207-217 ◽  
Author(s):  
I. Gladwell ◽  
K. Bouas-Dockery ◽  
R.W. Brankin


Sign in / Sign up

Export Citation Format

Share Document