论文信息 - Symplectic Partitioned Runge-Kutta methods with minimal phase-lag

Symplectic Partitioned Runge-Kutta methods with minimal phase-lag

Abstract Symplectic Partitioned Runge–Kutta (SPRK) methods with minimal phase-lag are derived. Specifically two new symplectic methods are constructed of second and third order with fifth phase-lag order. The methods are tested on the numerical integration of Hamiltonian problems and the Schrodinger equation.

[1] R. McLachlan,et al. The accuracy of symplectic integrators , 1992 .

[2] R. Ruth. A Can0nical Integrati0n Technique , 1983, IEEE Transactions on Nuclear Science.

[3] Ben P. Sommeijer,et al. Explicit Runge-Kutta (-Nyström) methods with reduced phase errors for computing oscillating solutions , 1987 .

[4] H. Van de Vyver,et al. A symplectic Runge-Kutta-Nyström method with minimal phase-lag , 2007 .

[5] J. M. Sanz-Serna,et al. Numerical Hamiltonian Problems , 1994 .