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. - Tan, Yan; Zhu, Jun; Shu, Chi-Wang; Qiu, Jianxian (J. Comput. Phys., 2025)

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

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

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

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

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

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

A moment-based Hermite WENO scheme with unified stencils for hyperbolic conservation laws. - Fan, Chuan; Qiu, Jianxian; Zhao, Zhuang (CoRR, 2024)

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

Non-splitting Eulerian-Lagrangian WENO schemes for two-dimensional nonlinear convection-diffusion equations. - Zheng, Nanyi; Cai, Xiaofeng; Qiu, Jing-Mei; Qiu, Jianxian (CoRR, 2024)

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

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

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

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

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

A compact simple HWENO scheme with ADER time discretization for hyperbolic conservation laws I: structured meshes. - Luo, Dongmi; Li, Shiyi; Qiu, Jianxian; Zhu, Jun; Chen, Yibing (CoRR, 2023)

Provably convergent Newton-Raphson methods for recovering primitive variables with applications to physical-constraint-preserving Hermite WENO schemes for relativistic hydrodynamics. - Cai, Chaoyi; Qiu, Jianxian; Wu, Kailiang (CoRR, 2023)

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

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

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

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

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

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

A well-balanced moving mesh discontinuous Galerkin method for the Ripa model on triangular meshes. - Huang, Weizhang; Li, Ruo; Qiu, Jianxian; Zhang, Min (CoRR, 2022)

Fourth-order conservative non-splitting semi-Lagrangian Hermite WENO schemes for kinetic and fluid simulations. - Zheng, Nanyi; Cai, Xiaofeng; Qiu, Jing-Mei; Qiu, Jianxian (CoRR, 2022)

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

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

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

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

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

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

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

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

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

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

High Order Residual Distribution Conservative Finite Difference HWENO Scheme for Steady State Problems. - Lin, Jianfang; Ren, Yupeng; Abgrall, Rémi; Qiu, Jianxian (CoRR, 2021)

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

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

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

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

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

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

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

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

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

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

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

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

A high-order well-balanced positivity-preserving moving mesh DG method for the shallow water equations with non-flat bottom topography. - Zhang, Min; Huang, Weizhang; Qiu, Jianxian (CoRR, 2020)

A quasi-conservative discontinuous Galerkin method for multi-component flows using the non-oscillatory kinetic flux. - Luo, Dongmi; Qiu, Jianxian; Zhu, Jun; Chen, Yibing (CoRR, 2020)

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

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

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

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

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

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

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

A hybrid Hermite WENO scheme for hyperbolic conservation laws. - Zhao, Zhuang; Chen, Yibing; Qiu, Jianxian (CoRR, 2019)

High-order conservative positivity-preserving DG-interpolation for deforming meshes and application to moving mesh DG simulation of radiative transfer. - Zhang, Min; Huang, Weizhang; Qiu, Jianxian (CoRR, 2019)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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