The multi-frequency and multi-dimensional adapted Runge-Kutta^NystrSm (ARKN) integrators, and multi-frequency and multi-dimensional extended Runge-Kutta-NystrSm (ERKN) integrators have been developed to efficientl...
supported by the NationalNatural Science Foundation of China (Grant No.10873007);supported by the Science Foundation of Jiangxi Education Bureau (Grant No.GJJ09072);the Program for Innovative Research Team of Nanchang University
With the natural splitting of a Hamiltonian system into kinetic energy and potential energy,we construct two new optimal thirdorder force-gradient symplectic algorithms in each of which the norm of fourth-order trunca...
Project supported by the National Natural Science Foundation of China (Grant Nos 10672143 and 60575055);the State Key Laboratory of Scientific and Engineering Computing, Chinese Academy of Sciences;the Natural Science Foundation of Henan Province Government, China (Grant No 0511022200)
A discrete total variation calculus with variable time steps is presented for mechanico-electrical systems where there exist non-potential and dissipative forces. By using this discrete variation calculus, the symplec...