# Stability and error analysis of IMEX SAV schemes for the magneto-hydrodynamic equations

@article{Li2021StabilityAE, title={Stability and error analysis of IMEX SAV schemes for the magneto-hydrodynamic equations}, author={Xiaoli Li and Weilong Wang and Jie Shen}, journal={ArXiv}, year={2021}, volume={abs/2104.00229} }

Abstract. We construct and analyze firstand 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…

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