Admissible states and physical-constraints-preserving schemes for relativistic magnetohydrodynamic equations

Runge–Kutta discontinuous Galerkin methods for the special relativistic magnetohydrodynamics

(2017) Jian Zhao et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Stability analysis and error estimates of an exactly divergence-free method for the magnetic induction equations

(2016) He Yang et al.   ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE

A subluminal relativistic magnetohydrodynamics scheme with ADER-WENO predictor and multidimensional Riemann solver-based corrector

(2016) Dinshaw S. Balsara et al.   JOURNAL OF COMPUTATIONAL PHYSICS

High-order accurate physical-constraints-preserving finite difference WENO schemes for special relativistic hydrodynamics

(2015) Kailiang Wu et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Solving the relativistic magnetohydrodynamics equations with ADER discontinuous Galerkin methods, a posteriori subcell limiting and adaptive mesh refinement

(2015) O. Zanotti et al.   MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY

Positivity-Preserving Finite Difference Weighted ENO Schemes with Constrained Transport for Ideal Magnetohydrodynamic Equations

(2015) Andrew J. Christlieb et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

A stable HLLC Riemann solver for relativistic magnetohydrodynamics

(2014) Jinho Kim et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Primitive Variable Determination in Conservative Relativistic Magnetohydrodynamic Simulations

(2014) William I. Newman et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

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

(2013) Yue Cheng et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Numerical Hydrodynamics and Magnetohydrodynamics in General Relativity

(2013) José A. Font   Living Reviews in Relativity

An adaptive moving mesh method for two-dimensional relativistic magnetohydrodynamics

(2012) Peng He et al.   COMPUTERS & FLUIDS

Self-adjusting, positivity preserving high order schemes for hydrodynamics and magnetohydrodynamics

(2012) Dinshaw S. Balsara   JOURNAL OF COMPUTATIONAL PHYSICS

Central discontinuous Galerkin methods for ideal MHD equations with the exactly divergence-free magnetic field

(2011) Fengyan Li et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Maximum-principle-satisfying and positivity-preserving high-order schemes for conservation laws: survey and new developments

(2011) X. Zhang et al.   PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES

Positivity-preserving high order well-balanced discontinuous Galerkin methods for the shallow water equations

(2010) Yulong Xing et al.   ADVANCES IN WATER RESOURCES

RELATIVISTIC MAGNETOHYDRODYNAMICS: RENORMALIZED EIGENVECTORS AND FULL WAVE DECOMPOSITION RIEMANN SOLVER

(2010) Luis Antón et al.   ASTROPHYSICAL JOURNAL SUPPLEMENT SERIES

On the laws of relativistic electro-magneto-fluid dynamics

(2010) K. O. Friedrichs   COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS

On positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations on rectangular meshes

(2010) Xiangxiong Zhang et al.   JOURNAL OF COMPUTATIONAL PHYSICS

On maximum-principle-satisfying high order schemes for scalar conservation laws

(2010) Xiangxiong Zhang et al.   JOURNAL OF COMPUTATIONAL PHYSICS

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

(2009) Dinshaw S. Balsara   JOURNAL OF COMPUTATIONAL PHYSICS

A multidimensional grid-adaptive relativistic magnetofluid code

(2008) B. van der Holst et al.   COMPUTER PHYSICS COMMUNICATIONS

An improved weighted essentially non-oscillatory scheme for hyperbolic conservation laws

(2008) Rafael Borges et al.   JOURNAL OF COMPUTATIONAL PHYSICS

High Order Strong Stability Preserving Time Discretizations

(2008) Sigal Gottlieb et al.   JOURNAL OF SCIENTIFIC COMPUTING