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Explicit Runge–Kutta integrator with Hamiltonian correction for long-time simulations of guiding-center orbit in tokamak configu

Xiaotao Xiao and Shaojie Wang

Phys. Plasmas 15, 122511 (2008) | Cited 2 times

Hamiltonian correction method is proposed to improve the variable time-step fourth-order Runge–Kutta methods in computing guiding-center orbits in a tokamak. It is found that the new method can significantly improve the computation efficiency of the conventional Runge–Kutta method in simulation of the long-time behavior of the guiding-center orbits