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

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

(2011) Xiangxiong Zhang et al.   JOURNAL OF COMPUTATIONAL PHYSICS

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 Genuinely High Order Total Variation Diminishing Scheme for One-Dimensional Scalar Conservation Laws

(2010) Xiangxiong Zhang et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

On the positivity of linear weights in WENO approximations

(2009) Yuan-yuan Liu et al.   Acta Mathematicae Applicatae Sinica-English Series

High Order Weighted Essentially Nonoscillatory Schemes for Convection Dominated Problems

(2009) Chi-Wang Shu   SIAM REVIEW