Parametrized Positivity Preserving Flux Limiters for the High Order Finite Difference WENO Scheme Solving Compressible Euler Equations

High order maximum principle preserving semi-Lagrangian finite difference WENO schemes for the Vlasov equation

(2014) Tao Xiong et al.   JOURNAL OF COMPUTATIONAL PHYSICS

High-order entropy stable finite difference schemes for nonlinear conservation laws: Finite domains

(2013) Travis C. Fisher et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A parametrized maximum principle preserving flux limiter for finite difference RK-WENO schemes with applications in incompressible flows

(2013) Tao Xiong et al.   JOURNAL OF COMPUTATIONAL PHYSICS

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

ENO Reconstruction and ENO Interpolation Are Stable

(2012) Ulrik S. Fjordholm et al.   FOUNDATIONS OF COMPUTATIONAL MATHEMATICS

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 schemes for conservation laws: survey and new developments

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

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

High-order well-balanced schemes and applications to non-equilibrium flow

(2009) Wei Wang et al.   JOURNAL OF COMPUTATIONAL PHYSICS

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

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