# 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={SIAM J. Numer. Anal.}, year={2021}, volume={60}, pages={1026-1054} }

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…

## 3 Citations

### Unconditionally energy-stable schemes based on the SAV approach for the inductionless MHD equations

- MathematicsArXiv
- 2022

In this paper, we consider numerical approximations for solving the inductionless magnetohydrodynamic (MHD) equations. By utilizing the scalar auxiliary variable (SAV) approach for dealing with the…

### Unconditional stability and error analysis of an Euler IMEX-SAV scheme for the micropolar Navier-Stokes equations

- MathematicsArXiv
- 2022

In this paper, we consider numerical approximations for solving the micropolar Navier-Stokes (MNS) equations, that couples the Navier-Stokes equations and the angular momentum equation together. By…

### Second order, unconditionally stable, linear ensemble algorithms for the magnetohydrodynamics equations

- Computer Science, MathematicsArXiv
- 2022

We propose two unconditionally stable, linear ensemble algorithms with pre-computable shared coeﬃcient matrices across diﬀerent realizations for the magnetohydrodynamics equations. The viscous terms…

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