  We construct and analyze first- and second-order implicit-explicit (IMEX)
schemes based on the scalar auxiliary variable (SAV) approach for the
magneto-hydrodynamic equations. These schemes are linear, only require solving
a sequence of linear differential equations with constant coefficients at each
time step, and are unconditionally energy stable. We derive rigorous error
estimates for the velocity, pressure and magnetic field of the first-order
scheme in the two dimensional case without any condition on the time step.
Numerical examples are presented to validate the proposed schemes.
