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 prese...

Objectives: This paper reviews the current literature on acquired brain injury (ABI) with a focus on ABI burden, importance of community integration, and community integration definitions suggested by the literature. Methods: Literature review Results: Acquired brain injury (ABI) is referred to a diverse range of disabilities resulted of injury in different parts of the brain. People with AB...

where y(x) denotes the solution of the differential equation. The idea is to use a quadrature formula to estimate the integral of (1). This requires knowledge of the integrand at specified arguments x¿ in (xo, -To + h)—hence we require the values of y(x) at these arguments. A numerical integration method may be used to estimate y(x) for the required arguments. In this way a numerical integratio...