A simple finite difference scheme for multidimensional magnetohydrodynamical equations

Hyperbolic divergence cleaning for the MHD equations

Journal of Computational Physics

Divergence- and curl-preserving prolongation and restriction formulas

Journal of Computational Physics

Conservative and orthogonal discretization for the Lorentz force

Journal of Computational Physics

On the divergence-free condition in Godunov-type schemes for ideal magnetohydrodynamics: the upwind constrained transport method

Journal of Computational Physics

A central-constrained transport scheme for ideal magnetohydrodynamics

Journal of Computational Physics

A novel approach of divergence-free reconstruction for adaptive mesh refinement

Journal of Computational Physics

Non-oscillatory central schemes for one- and two-dimensional MHD equations: I

Journal of Computational Physics

Locally Divergence-Free Discontinuous Galerkin Methods for MHD Equations

Journal of Scientific Computing

An HLLC Riemann solver for magneto-hydrodynamics

Journal of Computational Physics

An unsplit, cell-centered Godunov method for ideal MHD

Journal of Computational Physics

Central finite volume methods with constrained transport divergence treatment for ideal MHD

Journal of Computational Physics

An unsplit Godunov method for ideal MHD via constrained transport

Journal of Computational Physics

Locally divergence-free discontinuous Galerkin methods for MHD equations

Journal of Scientific Computing

Central finite volume schemes with constrained transport divergence treatment for three-dimensional ideal MHD

Journal of Computational Physics

Non-Linear Filtering and Limiting in High Order Methods for Ideal and Non-Ideal MHD

Journal of Scientific Computing

Solving the MHD equations by the space-time conservation element and solution element method

Journal of Computational Physics

An adaptive moving mesh method for two-dimensional ideal magnetohydrodynamics

Journal of Computational Physics

Development of low dissipative high order filter schemes for multiscale Navier-Stokes/MHD systems

Journal of Computational Physics

ELLAM for resolving the kinematics of two-dimensional resistive magnetohydrodynamic flows

Journal of Computational Physics

Increasing the accuracy in locally divergence-preserving finite volume schemes for MHD

Journal of Computational Physics

High order central scheme on overlapping cells for magneto-hydrodynamic flows with and without constrained transport method

Journal of Computational Physics

Splitting based finite volume schemes for ideal MHD equations

Journal of Computational Physics

An unsplit staggered mesh scheme for multidimensional magnetohydrodynamics

Journal of Computational Physics

A characteristic-based nonconvex entropy-fix upwind scheme for the ideal magnetohydrodynamic equations

Journal of Computational Physics

High order well-balanced finite volume schemes for simulating wave propagation in stratified magnetic atmospheres

Journal of Computational Physics

On the application of a variant CE/SE method for solving two-dimensional ideal MHD equations

Applied Numerical Mathematics

Unstaggered central schemes with constrained transport treatment for ideal and shallow water magnetohydrodynamics

Applied Numerical Mathematics

High-order conservative finite difference GLM-MHD schemes for cell-centered MHD

Journal of Computational Physics

Towards a scalable fully-implicit fully-coupled resistive MHD formulation with stabilized FE methods

Journal of Computational Physics

A fourth-order divergence-free method for MHD flows

Journal of Computational Physics

An unstaggered constrained transport method for the 3D ideal magnetohydrodynamic equations

Journal of Computational Physics

Constraint Preserving Schemes Using Potential-Based Fluxes. II. Genuinely Multidimensional Systems of Conservation Laws

SIAM Journal on Numerical Analysis

A Numerical Scheme for Three-Dimensional Front Propagation and Control of Jordan Mode

SIAM Journal on Scientific Computing

Positivity-preserving DG and central DG methods for ideal MHD equations

Journal of Computational Physics

Divergence-free-preserving high-order schemes for magnetohydrodynamics: An artificial magnetic resistivity method

Journal of Computational Physics