Finite Difference WENO Schemes with Lax-Wendroff-Type Time Discretizations. - Jianxian Qiu; Chi-Wang Shu (SIAM J. Sci. Comput., 2003)

A Comparison of Troubled-Cell Indicators for Runge-Kutta Discontinuous Galerkin Methods Using Weighted Essentially Nonoscillatory Limiters. - Jianxian Qiu; Chi-Wang Shu (SIAM J. Sci. Comput., 2005)

Runge-Kutta Discontinuous Galerkin Method Using WENO Limiters. - Jianxian Qiu; Chi-Wang Shu (SIAM J. Sci. Comput., 2005)

A numerical study for the performance of the Runge-Kutta discontinuous Galerkin method based on different numerical fluxes. - Jianxian Qiu; Boo Cheong Khoo; Chi-Wang Shu (J. Comput. Phys., 2006)

Runge-Kutta discontinuous Galerkin methods for compressible two-medium flow simulations: One-dimensional case. - Jianxian Qiu; Tiegang Liu; Boo Cheong Khoo (J. Comput. Phys., 2007)

A Numerical Comparison of the Lax-Wendroff Discontinuous Galerkin Method Based on Different Numerical Fluxes. - Jianxian Qiu (J. Sci. Comput., 2007)

Runge-Kutta discontinuous Galerkin method using WENO limiters II: Unstructured meshes. - Jun Zhu; Jianxian Qiu; Chi-Wang Shu; Michael Dumbser (J. Comput. Phys., 2008)

Adaptive Runge-Kutta discontinuous Galerkin methods using different indicators: One-dimensional case. - Hongqiang Zhu; Jianxian Qiu (J. Comput. Phys., 2009)

Local Discontinuous Galerkin Finite Element Method and Error Estimates for One Class of Sobolev Equation. - Fuzheng Gao; Jianxian Qiu; Qiang Zhang 018 (J. Sci. Comput., 2009)

Hermite WENO Schemes and Their Application as Limiters for Runge-Kutta Discontinuous Galerkin Method, III: Unstructured Meshes. - Jun Zhu; Jianxian Qiu (J. Sci. Comput., 2009)

Hybrid weighted essentially non-oscillatory schemes with different indicators. - Gang Li 022; Jianxian Qiu (J. Comput. Phys., 2010)

Preface to the special issue "High order methods for CFD problems". - Rémi Abgrall; Jianxian Qiu (J. Comput. Phys., 2011)

Local DG method using WENO type limiters for convection-diffusion problems. - Jun Zhu; Jianxian Qiu (J. Comput. Phys., 2011)

Local-Structure-Preserving Discontinuous Galerkin Methods with Lax-Wendroff Type Time Discretizations for Hamilton-Jacobi Equations. - Wei Guo; Fengyan Li; Jianxian Qiu (J. Sci. Comput., 2011)

Simulations of Shallow Water Equations with Finite Difference Lax-Wendroff Weighted Essentially Non-oscillatory Schemes. - Changna Lu; Jianxian Qiu (J. Sci. Comput., 2011)

An Eulerian-Lagrangian WENO finite volume scheme for advection problems. - Chieh-Sen Huang; Todd Arbogast; Jianxian Qiu (J. Comput. Phys., 2012)

Hybrid Well-balanced WENO Schemes with Different Indicators for Shallow Water Equations. - Gang Li 022; Changna Lu; Jianxian Qiu (J. Sci. Comput., 2012)

A Moving Mesh WENO Method for One-Dimensional Conservation Laws. - Xiaobo Yang; Weizhang Huang; Jianxian Qiu (SIAM J. Sci. Comput., 2012)

An h-adaptive RKDG method with troubled-cell indicator for two-dimensional hyperbolic conservation laws. - Hongqiang Zhu; Jianxian Qiu (Adv. Comput. Math., 2013)

Positivity-preserving DG and central DG methods for ideal MHD equations. - Yue Cheng; Fengyan Li; Jianxian Qiu; Liwei Xu (J. Comput. Phys., 2013)

Hermite WENO schemes for Hamilton-Jacobi equations on unstructured meshes. - Jun Zhu; Jianxian Qiu (J. Comput. Phys., 2013)

Runge-Kutta discontinuous Galerkin method using a new type of WENO limiters on unstructured meshes. - Jun Zhu; Xinghui Zhong; Chi-Wang Shu; Jianxian Qiu (J. Comput. Phys., 2013)

Dispersion and Dissipation Errors of Two Fully Discrete Discontinuous Galerkin Methods. - He Yang; Fengyan Li; Jianxian Qiu (J. Sci. Comput., 2013)

WENO Schemes and Their Application as Limiters for RKDG Methods Based on Trigonometric Approximation Spaces. - Jun Zhu; Jianxian Qiu (J. Sci. Comput., 2013)

Hybrid WENO schemes with different indicators on curvilinear grids. - Gang Li 022; Jianxian Qiu (Adv. Comput. Math., 2014)

Finite volume Hermite WENO schemes for solving the Hamilton-Jacobi equations II: Unstructured meshes. - Jun Zhu; Jianxian Qiu (Comput. Math. Appl., 2014)

Maximum principle in linear finite element approximations of anisotropic diffusion-convection-reaction problems. - Changna Lu; Weizhang Huang; Jianxian Qiu (Numerische Mathematik, 2014)

High-order central Hermite WENO schemes on staggered meshes for hyperbolic conservation laws. - Zhanjing Tao; Fengyan Li; Jianxian Qiu (J. Comput. Phys., 2015)

A moving mesh finite difference method for equilibrium radiation diffusion equations. - Xiaobo Yang; Weizhang Huang; Jianxian Qiu (J. Comput. Phys., 2015)

A New Lax-Wendroff Discontinuous Galerkin Method with Superconvergence. - Wei Guo 004; Jing-Mei Qiu; Jianxian Qiu (J. Sci. Comput., 2015)

Finite Difference Hermite WENO Schemes for Hyperbolic Conservation Laws. - Hongxia Liu; Jianxian Qiu (J. Sci. Comput., 2015)

A conservative semi-Lagrangian HWENO method for the Vlasov equation. - Xiaofeng Cai; Jianxian Qiu; Jing-Mei Qiu (J. Comput. Phys., 2016)

A hybrid LDG-HWENO scheme for KdV-type equations. - Dongmi Luo; Weizhang Huang; Jianxian Qiu (J. Comput. Phys., 2016)

High-order central Hermite WENO schemes: Dimension-by-dimension moment-based reconstructions. - Zhanjing Tao; Fengyan Li; Jianxian Qiu (J. Comput. Phys., 2016)

Directly solving the Hamilton-Jacobi equations by Hermite WENO Schemes. - Feng Zheng; Jianxian Qiu (J. Comput. Phys., 2016)

A new fifth order finite difference WENO scheme for solving hyperbolic conservation laws. - Jun Zhu; Jianxian Qiu (J. Comput. Phys., 2016)

Positivity-Preserving High Order Finite Volume HWENO Schemes for Compressible Euler Equations. - Xiaofeng Cai; Xiangxiong Zhang; Jianxian Qiu (J. Sci. Comput., 2016)

Finite Difference Hermite WENO Schemes for Conservation Laws, II: An Alternative Approach. - Hongxia Liu; Jianxian Qiu (J. Sci. Comput., 2016)

An h-Adaptive RKDG Method for the Vlasov-Poisson System. - Hongqiang Zhu; Jianxian Qiu; Jing-Mei Qiu (J. Sci. Comput., 2016)

Dimension-by-dimension moment-based central Hermite WENO schemes for directly solving Hamilton-Jacobi equations. - Zhanjing Tao; Jianxian Qiu (Adv. Comput. Math., 2017)

Finite difference Hermite WENO schemes for the Hamilton-Jacobi equations. - Feng Zheng; Chi-Wang Shu; Jianxian Qiu (J. Comput. Phys., 2017)

A new third order finite volume weighted essentially non-oscillatory scheme on tetrahedral meshes. - Jun Zhu; Jianxian Qiu (J. Comput. Phys., 2017)

A New Type of Finite Volume WENO Schemes for Hyperbolic Conservation Laws. - Jun Zhu; Jianxian Qiu (J. Sci. Comput., 2017)

An h-Adaptive RKDG Method for the Two-Dimensional Incompressible Euler Equations and the Guiding Center Vlasov Model. - Hongqiang Zhu; Jianxian Qiu; Jing-Mei Qiu (J. Sci. Comput., 2017)

A New Type of Modified WENO Schemes for Solving Hyperbolic Conservation Laws. - Jun Zhu; Jianxian Qiu (SIAM J. Sci. Comput., 2017)

Finite Volume HWENO Schemes for Nonconvex Conservation Laws. - Xiaofeng Cai; Jianxian Qiu; Jing-Mei Qiu (J. Sci. Comput., 2018)

An Adaptive Moving Mesh Finite Element Solution of the Regularized Long Wave Equation. - Changna Lu; Weizhang Huang; Jianxian Qiu (J. Sci. Comput., 2018)

New Finite Volume Weighted Essentially Nonoscillatory Schemes on Triangular Meshes. - Jun Zhu; Jianxian Qiu (SIAM J. Sci. Comput., 2018)

A quasi-Lagrangian moving mesh discontinuous Galerkin method for hyperbolic conservation laws. - Dongmi Luo; Weizhang Huang; Jianxian Qiu (J. Comput. Phys., 2019)

High order positivity-preserving discontinuous Galerkin schemes for radiative transfer equations on triangular meshes. - Min Zhang; Juan Cheng; Jianxian Qiu (J. Comput. Phys., 2019)

High Order Residual Distribution for Steady State Problems for Hyperbolic Conservation Laws. - Jianfang Lin; Rémi Abgrall; Jianxian Qiu (J. Sci. Comput., 2019)

Moving mesh finite difference solution of non-equilibrium radiation diffusion equations. - Xiaobo Yang; Weizhang Huang; Jianxian Qiu (Numer. Algorithms, 2019)

A simple, high-order and compact WENO limiter for RKDG method. - Hongqiang Zhu; Jianxian Qiu; Jun Zhu (Comput. Math. Appl., 2020)

A well-balanced positivity-preserving quasi-Lagrange moving mesh DG method for the shallow water equations. - Min Zhang; Weizhang Huang; Jianxian Qiu (CoRR, 2020)

A hybrid WENO method with modified ghost fluid method for compressible two-medium flow problems. - Zhuang Zhao; Yibing Chen; Jianxian Qiu (CoRR, 2020)

High order finite difference Hermite WENO fast sweeping methods for static Hamilton-Jacobi equations. - Yupeng Ren; Yulong Xing; Jianxian Qiu (CoRR, 2020)

Corrigendum to "High order positivity-preserving discontinuous Galerkin schemes for radiative transfer equations on triangular meshes" [J. Comput. Phys. 397 (2019) 108811]. - Min Zhang; Juan Cheng; Jianxian Qiu (J. Comput. Phys., 2020)

A hybrid Hermite WENO scheme for hyperbolic conservation laws. - Zhuang Zhao; Yibing Chen; Jianxian Qiu (J. Comput. Phys., 2020)

A Hermite WENO scheme with artificial linear weights for hyperbolic conservation laws. - Zhuang Zhao; Jianxian Qiu (J. Comput. Phys., 2020)

High-order Runge-Kutta discontinuous Galerkin methods with a new type of multi-resolution WENO limiters. - Jun Zhu; Jianxian Qiu; Chi-Wang Shu (J. Comput. Phys., 2020)

A Hybrid Finite Difference WENO-ZQ Fast Sweeping Method for Static Hamilton-Jacobi Equations. - Yupeng Ren; Tao Xiong; Jianxian Qiu (J. Sci. Comput., 2020)

A Modified Fifth Order Finite Difference Hermite WENO Scheme for Hyperbolic Conservation Laws. - Zhuang Zhao; Yong-Tao Zhang; Jianxian Qiu (J. Sci. Comput., 2020)

New Finite Difference Hermite WENO Schemes for Hamilton-Jacobi Equations. - Jun Zhu; Feng Zheng; Jianxian Qiu (J. Sci. Comput., 2020)

High-Order Conservative Positivity-Preserving DG-Interpolation for Deforming Meshes and Application to Moving Mesh DG Simulation of Radiative Transfer. - Min Zhang; Weizhang Huang; Jianxian Qiu (SIAM J. Sci. Comput., 2020)

Compact ETDRK scheme for nonlinear dispersive wave equations. - Muyassar Ahmat; Jianxian Qiu (Comput. Appl. Math., 2021)

A quasi-conservative DG-ALE method for multi-component flows using the non-oscillatory kinetic flux. - Dongmi Luo; Shiyi Li; Weizhang Huang; Jianxian Qiu; Yibing Chen (CoRR, 2021)

High order asymptotic preserving Hermite WENO fast sweeping method for the steady-state SN transport equation. - Yupeng Ren; Yulong Xing; Dean Wang; Jianxian Qiu (CoRR, 2021)

High order finite difference Hermite WENO fixed-point fast sweeping method for static Hamilton-Jacobi equations. - Yupeng Ren; Yulong Xing; Jianxian Qiu (CoRR, 2021)

A study on CFL conditions for the DG solution of conservation laws on adaptive moving meshes. - Min Zhang; Weizhang Huang; Jianxian Qiu (CoRR, 2021)

Positivity-preserving high order finite volume hybrid Hermite WENO schemes for compressible Navier-Stokes equations. - Chuan Fan; Xiangxiong Zhang; Jianxian Qiu (J. Comput. Phys., 2021)

A compact and efficient high-order gas-kinetic scheme. - Shiyi Li; Dongmi Luo; Jianxian Qiu; Yibing Chen (J. Comput. Phys., 2021)

Multi-resolution HWENO schemes for hyperbolic conservation laws. - Jiayin Li; Chi-Wang Shu; Jianxian Qiu (J. Comput. Phys., 2021)

A high order conservative finite difference scheme for compressible two-medium flows. - Feng Zheng; Chi-Wang Shu; Jianxian Qiu (J. Comput. Phys., 2021)

A Quasi-Conservative Discontinuous Galerkin Method for Multi-component Flows Using the Non-oscillatory Kinetic Flux. - Dongmi Luo; Jianxian Qiu; Jun Zhu; Yibing Chen (J. Sci. Comput., 2021)

A High-Order Well-Balanced Positivity-Preserving Moving Mesh DG Method for the Shallow Water Equations With Non-Flat Bottom Topography. - Min Zhang; Weizhang Huang; Jianxian Qiu (J. Sci. Comput., 2021)

A Conservative Semi-Lagrangian Hybrid Hermite WENO Scheme for Linear Transport Equations and the Nonlinear Vlasov-Poisson System. - Nanyi Zheng; Xiaofeng Cai; Jing-Mei Qiu; Jianxian Qiu (SIAM J. Sci. Comput., 2021)

Moment-based multi-resolution HWENO scheme for hyperbolic conservation laws. - Jiayin Li; Chi-Wang Shu; Jianxian Qiu (CoRR, 2022)

Positivity-preserving high order finite difference WENO schemes for compressible Navier-Stokes equations. - Chuan Fan; Xiangxiong Zhang; Jianxian Qiu (J. Comput. Phys., 2022)

High order residual distribution conservative finite difference HWENO scheme for steady state problems. - Jianfang Lin; Yupeng Ren; Rémi Abgrall; Jianxian Qiu (J. Comput. Phys., 2022)

A Quasi-Conservative Discontinuous Galerkin Method for Multi-component Flows Using the Non-oscillatory Kinetic Flux II: ALE Framework. - Dongmi Luo; Shiyi Li; Weizhang Huang; Jianxian Qiu; Yibing Chen (J. Sci. Comput., 2022)

High Order Asymptotic Preserving Hermite WENO Fast Sweeping Method for the Steady-State SN Transport Equations. - Yupeng Ren; Yulong Xing; Dean Wang; Jianxian Qiu (J. Sci. Comput., 2022)

A Finite Difference Mapped WENO Scheme with Unequal-Size Stencils for Hyperbolic Conservation Laws. - Jun Zhu; Jianxian Qiu (J. Sci. Comput., 2022)

A well-balanced moving mesh discontinuous Galerkin method for the Ripa model on triangular meshes. - Weizhang Huang; Ruo Li; Jianxian Qiu; Min Zhang (J. Comput. Phys., 2023)

A one-stage high-order gas-kinetic scheme for multi-component flows with interface-sharpening technique. - Shiyi Li; Dongmi Luo; Jianxian Qiu; Song Jiang 004; Yibing Chen (J. Comput. Phys., 2023)

Direct WENO scheme for dispersion-type equations. - Muyassar Ahmat; Jianxian Qiu (Math. Comput. Simul., 2023)

Hybrid HWENO Method for Nonlinear Degenerate Parabolic Equations. - Muyassar Ahmat; Jianxian Qiu (J. Sci. Comput., 2023)

On high order positivity-preserving well-balanced finite volume methods for the Euler equations with gravitation. - Yupeng Ren; Kailiang Wu; Jianxian Qiu; Yulong Xing (J. Comput. Phys., 2023)

Provably Convergent and Robust Newton-Raphson Method: A New Dawn in Primitive Variable Recovery for Relativistic MHD. - Chaoyi Cai; Jianxian Qiu; Kailiang Wu (CoRR, 2024)

A compact simple HWENO scheme with ADER time discretization for hyperbolic conservation laws I: Structured meshes. - Dongmi Luo; Shiyi Li; Jianxian Qiu; Jun Zhu; Yibing Chen (J. Comput. Phys., 2024)

Provably convergent Newton-Raphson methods for recovering primitive variables with applications to physical-constraint-preserving Hermite WENO schemes for relativistic hydrodynamics. - Chaoyi Cai; Jianxian Qiu; Kailiang Wu (J. Comput. Phys., 2024)

High-order adaptive multi-resolution method on curvilinear grids I: Finite difference framework. - Wenhua Ma; Dongmi Luo; Shiyi Li; Jianxian Qiu; Guoxi Ni; Yibing Chen (J. Comput. Phys., 2024)

High-Order Multi-resolution Central Hermite WENO Schemes for Hyperbolic Conservation Laws. - Zhanjing Tao; Jinming Zhang; Jun Zhu; Jianxian Qiu (J. Sci. Comput., 2024)

Fourth-Order Conservative Non-splitting Semi-Lagrangian Hermite WENO Schemes for Kinetic and Fluid Simulations. - Nanyi Zheng; Xiaofeng Cai; Jing-Mei Qiu; Jianxian Qiu (J. Sci. Comput., 2024)

Letter to Editor: Regarding the numerical results in "A novel finite-difference converged ENO scheme for steady-state simulations of Euler equations", by Tian Liang and Lin Fu, Journal of Computational Physics, 519 (2024), 113386. - Yan Tan; Jun Zhu; Chi-Wang Shu; Jianxian Qiu (J. Comput. Phys., 2025)

High-order moment-based Hermite WENO schemes for hyperbolic conservation laws on triangular meshes. - Zhuang Zhao; Jianxian Qiu (J. Comput. Phys., 2025)

Non-splitting Eulerian-Lagrangian WENO schemes for two-dimensional nonlinear convection-diffusion equations. - Nanyi Zheng; Xiaofeng Cai; Jing-Mei Qiu; Jianxian Qiu (J. Comput. Phys., 2025)

Provably Convergent Newton-Raphson Method: Theoretically Robust Recovery of Primitive Variables in Relativistic MHD. - Chaoyi Cai; Jianxian Qiu; Kailiang Wu (SIAM J. Numer. Anal., 2025)

A Moment-Based Hermite WENO Scheme with Unified Stencils for Hyperbolic Conservation Laws. - Chuan Fan; Jianxian Qiu; Zhuang Zhao (J. Sci. Comput., 2025)

A High-Order Compact Hermite Difference Method for Double-Diffusive Convection. - Jianqing Yang; Jianxian Qiu (CoRR, 2025)

Geometric-Perturbation-Robust Cut-Cell Scheme for Two-Material Flows: Exact Pressure-Equilibrium Preservation and Rigorous Analysis. - Chaoyi Cai; Di Wu; Jianxian Qiu (CoRR, 2025)