Application of high order symplectic integration methods with forward integration steps in beam dynamics

The Hamiltonian describing particle motion in an accelerator belongs to a large class of systems, the members which can be integrated with new set high order symplectic integrators. One benefit these integrators is their strong numerical stability, results from inclusion only forward integration steps, independent accuracy. Using integrators, transfer map any multipolar magnet derived and presented here. From maps, flow different lattices simulated benchmarked against other well established schemes community. By comparing quantities such as linear phase advance action invariant, chromaticity, working point tune spread amplitude, superiority novel demonstrated respect accuracy cost.