Stability and Error Analysis of IMEX SAV Schemes for the Magneto-Hydrodynamic Equations
Stability and Error Analysis of IMEX SAV Schemes for the Magneto-Hydrodynamic Equations
We construct and analyze first- and second-order implicit-explicit schemes based on the scalar auxiliary variable 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 …