Positivity-Preserving High Order Finite Volume HWENO Schemes for Compressible Euler Equations

Finite Difference Hermite WENO Schemes for Hyperbolic Conservation Laws

(2014) Hongxia Liu et al.   JOURNAL OF SCIENTIFIC COMPUTING

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

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

Positivity-Preserving Well-Balanced Discontinuous Galerkin Methods for the Shallow Water Equations on Unstructured Triangular Meshes

(2013) Yulong Xing et al.   JOURNAL OF SCIENTIFIC COMPUTING

Maximum-principle-satisfying second order discontinuous Galerkin schemes for convection–diffusion equations on triangular meshes

(2012) Yifan Zhang et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Maximum-principle-satisfying High Order Finite Volume Weighted Essentially Nonoscillatory Schemes for Convection-diffusion Equations

(2012) Xiangxiong Zhang et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Robust high order discontinuous Galerkin schemes for two-dimensional gaseous detonations

(2011) Cheng Wang et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Positivity-preserving high order finite difference WENO schemes for compressible Euler equations

(2011) Xiangxiong Zhang 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

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

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

Positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations with source terms

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

A class of the fourth order finite volume Hermite weighted essentially non-oscillatory schemes

(2008) Jun Zhu et al.   Science in China. Series A, Mathematics, physics, astronomy

A Hermite upwind WENO scheme for solving hyperbolic conservation laws

(2007) G. Capdeville   JOURNAL OF COMPUTATIONAL PHYSICS