Provably physical-constraint-preserving discontinuous Galerkin methods for multidimensional relativistic MHD equations

Provably positive high-order schemes for ideal magnetohydrodynamics: analysis on general meshes

(2019) Kailiang Wu et al.   NUMERISCHE MATHEMATIK

Physical-constraints-preserving Lagrangian finite volume schemes for one- and two-dimensional special relativistic hydrodynamics

(2019) Dan Ling et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A positivity-preserving Lagrangian Discontinuous Galerkin method for ideal magnetohydrodynamics equations in one-dimension

(2019) Shijun Zou et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Invariant-region-preserving DG methods for multi-dimensional hyperbolic conservation law systems, with an application to compressible Euler equations

(2018) Yi Jiang et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Globally Divergence-Free Discontinuous Galerkin Methods for Ideal Magnetohydrodynamic Equations

(2018) Pei Fu et al.   JOURNAL OF SCIENTIFIC COMPUTING

Positivity-Preserving Analysis of Numerical Schemes for Ideal Magnetohydrodynamics

(2018) Kailiang Wu   SIAM JOURNAL ON NUMERICAL ANALYSIS

On physical-constraints-preserving schemes for special relativistic magnetohydrodynamics with a general equation of state

(2018) Kailiang Wu et al.   ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK

A Global Divergence Conforming DG Method for Hyperbolic Conservation Laws with Divergence Constraint

(2018) Praveen Chandrashekar   JOURNAL OF SCIENTIFIC COMPUTING

Runge–Kutta discontinuous Galerkin methods for the special relativistic magnetohydrodynamics

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

On positivity-preserving high order discontinuous Galerkin schemes for compressible Navier–Stokes equations

(2017) Xiangxiong Zhang   JOURNAL OF COMPUTATIONAL PHYSICS

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

(2017) Kailiang Wu et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

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

Bound-preserving discontinuous Galerkin methods for relativistic hydrodynamics

(2016) Tong Qin et al.   JOURNAL OF COMPUTATIONAL PHYSICS

New central and central discontinuous Galerkin schemes on overlapping cells of unstructured grids for solving ideal magnetohydrodynamic equations with globally divergence-free magnetic field

(2016) Zhiliang Xu 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

High-order fully general-relativistic hydrodynamics: new approaches and tests

(2014) David Radice et al.   CLASSICAL AND QUANTUM GRAVITY

Positivity-preserving method for high-order conservative schemes solving compressible Euler equations

(2013) Xiangyu Y. Hu et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Parametrized Maximum Principle Preserving Flux Limiters for High Order Schemes Solving Multi-Dimensional Scalar Hyperbolic Conservation Laws

(2013) Chao Liang et al.   JOURNAL OF SCIENTIFIC COMPUTING

Parametrized maximum principle preserving flux limiters for high order schemes solving hyperbolic conservation laws: one-dimensional scalar problem

(2013) Zhengfu Xu   MATHEMATICS OF COMPUTATION

An adaptive moving mesh method for two-dimensional relativistic magnetohydrodynamics

(2012) Peng He et al.   COMPUTERS & FLUIDS

Constraint preserving schemes using potential-based fluxes. III. Genuinely multi-dimensional schemes for MHD equations

(2012) Siddhartha Mishra et al.   ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE

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 Discontinuous Galerkin Schemes for Conservation Laws on Triangular Meshes

(2011) Xiangxiong Zhang et al.   JOURNAL OF SCIENTIFIC COMPUTING

A minimum entropy principle of high order schemes for gas dynamics equations

(2011) Xiangxiong Zhang et al.   NUMERISCHE MATHEMATIK

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

A multidimensional grid-adaptive relativistic magnetofluid code

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