  A transient magneto-quasistatic vector potential formulation involving
nonlinear material is spatially discretized using the finite element method of
first and second polynomial order. By applying a generalized Schur complement
the resulting system of differential algebraic equations is reformulated into a
system of ordinary differential equations (ODE). The ODE system is integrated
in time using the explicit Euler scheme, which is conditionally stable by a
maximum time step size. To overcome this limit, an explicit multistage
Runge-Kutta-Chebyshev time integration method of higher order is employed to
enlarge the maximum stable time step size. Both time integration methods are
compared regarding the overall computational effort.
