A high-order WENO finite difference scheme for the equations of ideal magnetohydrodynamics

A technique of treating negative weights in WENO schemes

Journal of Computational Physics

Shock bowing and vorticity dynamics during propagation into different transverse density profiles

Physica D

ENO and WENO schemes with the exact conservation property for one-dimensional shallow water equations

Journal of Computational Physics

Multidomain WENO Finite Difference Method with Interpolation at Subdomain Interfaces

Journal of Scientific Computing

Non-uniform convergence of finite volume schemes for Riemann problems of ideal magnetohydrodynamics

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 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

High order WENO schemes: investigations on non-uniform converges for MHD Riemann problems

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

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

Journal of Computational Physics

Locally divergence-free discontinuous Galerkin methods for MHD equations

Journal of Scientific Computing

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

Journal of Computational Physics

MUSTA Fluxes for systems of conservation laws

Journal of Computational Physics

An adaptive moving mesh method for two-dimensional ideal magnetohydrodynamics

Journal of Computational Physics

Tracking discontinuities in shallow water equations and ideal magnetohydrodynamics equations via ghost fluid method

Applied Numerical Mathematics

A New Smoothness Indicator for the WENO Schemes and Its Effect on the Convergence to Steady State Solutions

Journal of Scientific Computing

Computing multi-valued velocity and electric fields for 1D Euler--Poisson equations

Applied Numerical Mathematics

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

Journal of Computational Physics

Development of nonlinear weighted compact schemes with increasingly higher order accuracy

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

A unified framework for the construction of one-step finite volume and discontinuous Galerkin schemes on unstructured meshes

Journal of Computational Physics

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

Journal of Computational Physics

Divergence-free reconstruction of magnetic fields and WENO schemes for magnetohydrodynamics

Journal of Computational Physics

Very high order PNPM schemes on unstructured meshes for the resistive relativistic MHD equations

Journal of Computational Physics

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

Applied Numerical Mathematics

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

Journal of Computational Physics

A fourth-order divergence-free method for MHD flows

Journal of Computational Physics

E-CUSP scheme for the equations of ideal magnetohydrodynamics with high order WENO Scheme

Journal of Computational Physics

High-order central ENO finite-volume scheme for ideal MHD

Journal of Computational Physics

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

Journal of Computational Physics

A strong conservative Riemann solver for the solution of the coupled Maxwell and Navier-Stokes equations

Journal of Computational Physics