Jianxian Qiu

Orcid: 0000-0002-3479-0536

According to our database1, Jianxian Qiu authored at least 95 papers between 2003 and 2024.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

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Bibliography

2024
Fourth-Order Conservative Non-splitting Semi-Lagrangian Hermite WENO Schemes for Kinetic and Fluid Simulations.
J. Sci. Comput., June, 2024

High-Order Multi-resolution Central Hermite WENO Schemes for Hyperbolic Conservation Laws.
J. Sci. Comput., May, 2024

High-order adaptive multi-resolution method on curvilinear grids I: Finite difference framework.
J. Comput. Phys., February, 2024

Provably convergent Newton-Raphson methods for recovering primitive variables with applications to physical-constraint-preserving Hermite WENO schemes for relativistic hydrodynamics.
J. Comput. Phys., February, 2024

A compact simple HWENO scheme with ADER time discretization for hyperbolic conservation laws I: Structured meshes.
J. Comput. Phys., 2024

Non-splitting Eulerian-Lagrangian WENO schemes for two-dimensional nonlinear convection-diffusion equations.
CoRR, 2024

Provably Convergent and Robust Newton-Raphson Method: A New Dawn in Primitive Variable Recovery for Relativistic MHD.
CoRR, 2024

A moment-based Hermite WENO scheme with unified stencils for hyperbolic conservation laws.
CoRR, 2024

2023
On high order positivity-preserving well-balanced finite volume methods for the Euler equations with gravitation.
J. Comput. Phys., November, 2023

Hybrid HWENO Method for Nonlinear Degenerate Parabolic Equations.
J. Sci. Comput., September, 2023

Direct WENO scheme for dispersion-type equations.
Math. Comput. Simul., 2023

A one-stage high-order gas-kinetic scheme for multi-component flows with interface-sharpening technique.
J. Comput. Phys., 2023

A well-balanced moving mesh discontinuous Galerkin method for the Ripa model on triangular meshes.
J. Comput. Phys., 2023

2022
A Finite Difference Mapped WENO Scheme with Unequal-Size Stencils for Hyperbolic Conservation Laws.
J. Sci. Comput., 2022

High Order Asymptotic Preserving Hermite WENO Fast Sweeping Method for the Steady-State S<sub>N</sub> Transport Equations.
J. Sci. Comput., 2022

A Quasi-Conservative Discontinuous Galerkin Method for Multi-component Flows Using the Non-oscillatory Kinetic Flux II: ALE Framework.
J. Sci. Comput., 2022

High order residual distribution conservative finite difference HWENO scheme for steady state problems.
J. Comput. Phys., 2022

Positivity-preserving high order finite difference WENO schemes for compressible Navier-Stokes equations.
J. Comput. Phys., 2022

Moment-based multi-resolution HWENO scheme for hyperbolic conservation laws.
CoRR, 2022

2021
A Conservative Semi-Lagrangian Hybrid Hermite WENO Scheme for Linear Transport Equations and the Nonlinear Vlasov-Poisson System.
SIAM 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.
J. Sci. Comput., 2021

A Quasi-Conservative Discontinuous Galerkin Method for Multi-component Flows Using the Non-oscillatory Kinetic Flux.
J. Sci. Comput., 2021

A high order conservative finite difference scheme for compressible two-medium flows.
J. Comput. Phys., 2021

Multi-resolution HWENO schemes for hyperbolic conservation laws.
J. Comput. Phys., 2021

A compact and efficient high-order gas-kinetic scheme.
J. Comput. Phys., 2021

Positivity-preserving high order finite volume hybrid Hermite WENO schemes for compressible Navier-Stokes equations.
J. Comput. Phys., 2021

A study on CFL conditions for the DG solution of conservation laws on adaptive moving meshes.
CoRR, 2021

High order finite difference Hermite WENO fixed-point fast sweeping method for static Hamilton-Jacobi equations.
CoRR, 2021

High order asymptotic preserving Hermite WENO fast sweeping method for the steady-state S<sub>N</sub> transport equation.
CoRR, 2021

A quasi-conservative DG-ALE method for multi-component flows using the non-oscillatory kinetic flux.
CoRR, 2021

Compact ETDRK scheme for nonlinear dispersive wave equations.
Comput. Appl. Math., 2021

2020
High-Order Conservative Positivity-Preserving DG-Interpolation for Deforming Meshes and Application to Moving Mesh DG Simulation of Radiative Transfer.
SIAM J. Sci. Comput., 2020

New Finite Difference Hermite WENO Schemes for Hamilton-Jacobi Equations.
J. Sci. Comput., 2020

A Modified Fifth Order Finite Difference Hermite WENO Scheme for Hyperbolic Conservation Laws.
J. Sci. Comput., 2020

A Hybrid Finite Difference WENO-ZQ Fast Sweeping Method for Static Hamilton-Jacobi Equations.
J. Sci. Comput., 2020

High-order Runge-Kutta discontinuous Galerkin methods with a new type of multi-resolution WENO limiters.
J. Comput. Phys., 2020

A Hermite WENO scheme with artificial linear weights for hyperbolic conservation laws.
J. Comput. Phys., 2020

A hybrid Hermite WENO scheme for hyperbolic conservation laws.
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].
J. Comput. Phys., 2020

High order finite difference Hermite WENO fast sweeping methods for static Hamilton-Jacobi equations.
CoRR, 2020

A hybrid WENO method with modified ghost fluid method for compressible two-medium flow problems.
CoRR, 2020

A well-balanced positivity-preserving quasi-Lagrange moving mesh DG method for the shallow water equations.
CoRR, 2020

A simple, high-order and compact WENO limiter for RKDG method.
Comput. Math. Appl., 2020

2019
Moving mesh finite difference solution of non-equilibrium radiation diffusion equations.
Numer. Algorithms, 2019

High Order Residual Distribution for Steady State Problems for Hyperbolic Conservation Laws.
J. Sci. Comput., 2019

High order positivity-preserving discontinuous Galerkin schemes for radiative transfer equations on triangular meshes.
J. Comput. Phys., 2019

A quasi-Lagrangian moving mesh discontinuous Galerkin method for hyperbolic conservation laws.
J. Comput. Phys., 2019

2018
New Finite Volume Weighted Essentially Nonoscillatory Schemes on Triangular Meshes.
SIAM J. Sci. Comput., 2018

An Adaptive Moving Mesh Finite Element Solution of the Regularized Long Wave Equation.
J. Sci. Comput., 2018

Finite Volume HWENO Schemes for Nonconvex Conservation Laws.
J. Sci. Comput., 2018

2017
A New Type of Modified WENO Schemes for Solving Hyperbolic Conservation Laws.
SIAM J. Sci. Comput., 2017

An h-Adaptive RKDG Method for the Two-Dimensional Incompressible Euler Equations and the Guiding Center Vlasov Model.
J. Sci. Comput., 2017

A New Type of Finite Volume WENO Schemes for Hyperbolic Conservation Laws.
J. Sci. Comput., 2017

A new third order finite volume weighted essentially non-oscillatory scheme on tetrahedral meshes.
J. Comput. Phys., 2017

Finite difference Hermite WENO schemes for the Hamilton-Jacobi equations.
J. Comput. Phys., 2017

Dimension-by-dimension moment-based central Hermite WENO schemes for directly solving Hamilton-Jacobi equations.
Adv. Comput. Math., 2017

2016
An h-Adaptive RKDG Method for the Vlasov-Poisson System.
J. Sci. Comput., 2016

Finite Difference Hermite WENO Schemes for Conservation Laws, II: An Alternative Approach.
J. Sci. Comput., 2016

Positivity-Preserving High Order Finite Volume HWENO Schemes for Compressible Euler Equations.
J. Sci. Comput., 2016

A new fifth order finite difference WENO scheme for solving hyperbolic conservation laws.
J. Comput. Phys., 2016

Directly solving the Hamilton-Jacobi equations by Hermite WENO Schemes.
J. Comput. Phys., 2016

High-order central Hermite WENO schemes: Dimension-by-dimension moment-based reconstructions.
J. Comput. Phys., 2016

A hybrid LDG-HWENO scheme for KdV-type equations.
J. Comput. Phys., 2016

A conservative semi-Lagrangian HWENO method for the Vlasov equation.
J. Comput. Phys., 2016

2015
Finite Difference Hermite WENO Schemes for Hyperbolic Conservation Laws.
J. Sci. Comput., 2015

A New Lax-Wendroff Discontinuous Galerkin Method with Superconvergence.
J. Sci. Comput., 2015

A moving mesh finite difference method for equilibrium radiation diffusion equations.
J. Comput. Phys., 2015

High-order central Hermite WENO schemes on staggered meshes for hyperbolic conservation laws.
J. Comput. Phys., 2015

2014
Maximum principle in linear finite element approximations of anisotropic diffusion-convection-reaction problems.
Numerische Mathematik, 2014

Finite volume Hermite WENO schemes for solving the Hamilton-Jacobi equations II: Unstructured meshes.
Comput. Math. Appl., 2014

Hybrid WENO schemes with different indicators on curvilinear grids.
Adv. Comput. Math., 2014

2013
WENO Schemes and Their Application as Limiters for RKDG Methods Based on Trigonometric Approximation Spaces.
J. Sci. Comput., 2013

Dispersion and Dissipation Errors of Two Fully Discrete Discontinuous Galerkin Methods.
J. Sci. Comput., 2013

Runge-Kutta discontinuous Galerkin method using a new type of WENO limiters on unstructured meshes.
J. Comput. Phys., 2013

Hermite WENO schemes for Hamilton-Jacobi equations on unstructured meshes.
J. Comput. Phys., 2013

Positivity-preserving DG and central DG methods for ideal MHD equations.
J. Comput. Phys., 2013

An h-adaptive RKDG method with troubled-cell indicator for two-dimensional hyperbolic conservation laws.
Adv. Comput. Math., 2013

2012
A Moving Mesh WENO Method for One-Dimensional Conservation Laws.
SIAM J. Sci. Comput., 2012

Hybrid Well-balanced WENO Schemes with Different Indicators for Shallow Water Equations.
J. Sci. Comput., 2012

An Eulerian-Lagrangian WENO finite volume scheme for advection problems.
J. Comput. Phys., 2012

2011
Simulations of Shallow Water Equations with Finite Difference Lax-Wendroff Weighted Essentially Non-oscillatory Schemes.
J. Sci. Comput., 2011

Local-Structure-Preserving Discontinuous Galerkin Methods with Lax-Wendroff Type Time Discretizations for Hamilton-Jacobi Equations.
J. Sci. Comput., 2011

Local DG method using WENO type limiters for convection-diffusion problems.
J. Comput. Phys., 2011

Preface to the special issue "High order methods for CFD problems".
J. Comput. Phys., 2011

2010
Hybrid weighted essentially non-oscillatory schemes with different indicators.
J. Comput. Phys., 2010

2009
Hermite WENO Schemes and Their Application as Limiters for Runge-Kutta Discontinuous Galerkin Method, III: Unstructured Meshes.
J. Sci. Comput., 2009

Local Discontinuous Galerkin Finite Element Method and Error Estimates for One Class of Sobolev Equation.
J. Sci. Comput., 2009

Adaptive Runge-Kutta discontinuous Galerkin methods using different indicators: One-dimensional case.
J. Comput. Phys., 2009

2008
Runge-Kutta discontinuous Galerkin method using WENO limiters II: Unstructured meshes.
J. Comput. Phys., 2008

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

Runge-Kutta discontinuous Galerkin methods for compressible two-medium flow simulations: One-dimensional case.
J. Comput. Phys., 2007

2006
A numerical study for the performance of the Runge-Kutta discontinuous Galerkin method based on different numerical fluxes.
J. Comput. Phys., 2006

2005
Runge-Kutta Discontinuous Galerkin Method Using WENO Limiters.
SIAM J. Sci. Comput., 2005

A Comparison of Troubled-Cell Indicators for Runge-Kutta Discontinuous Galerkin Methods Using Weighted Essentially Nonoscillatory Limiters.
SIAM J. Sci. Comput., 2005

2003
Finite Difference WENO Schemes with Lax-Wendroff-Type Time Discretizations.
SIAM J. Sci. Comput., 2003


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