邱建贤

2026

A High-Resolution Discontinuous Galerkin Scheme with Subcell Limiters for Multi-Material Flows

Journal of Computational Physics

DOI

2026

A hybrid MR-WENO scheme with a simplified troubled-cell indicator for hyperbolic conservation laws

Computers and Mathematics with Applications

DOI

2026

A High-Order Compact HWENO Method for Nonlinear Degenerate Parabolic Equations

Journal of Scientific Computing

DOI

2026

Maximum-Principle-Preserving and Positivity-Preserving Central WENO Schemes on Overlapping Meshes

Communications in Computational Physics

DOI

2026

A fifth-order conservative Hermite WENO remapping method and its application to moving mesh solver

Journal of Computational Physics

DOI

2026

High order well-balanced and total-energy-conserving local discontinuous Galerkin methods for compressible self-gravitating Euler equations

Journal of Computational Physics

DOI

2026

A high-order compact Hermite difference method for two-dimensional double-diffusive convection

Applied Mathematics and Computation

DOI

2026

An efficient and compact single-stage high-order scheme for hyperbolic conservation laws

Journal of Computational Physics

DOI

2026

Fifth-order direct Arbitrary-Lagrangian-Eulerian Hermite WENO scheme for the compressible Euler equations

Journal of Computational Physics

DOI

2025

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

Journal of Computational Physics

DOI

2025

A Hybrid HWENO Scheme for a Multi-class Traffic Flow Model with Heterogeneous Factors on Highroad

Communication on Applied Mathematics and Computation

DOI

2025

Non-splitting Eulerian-Lagrangian WENO schemes for two-dimensional nonlinear convection-diffusion equations

Journal of Computational Physics

DOI

2025

Uniformly high order discontinuous Galerkin gas kinetic scheme for compressible flows

Journal of Computational Physics

DOI

2025

Provably Convergent Newton–Raphson Method: Theoretically Robust Recovery of Primitive Variables in Relativistic MHD

SIAM Journal on Numerical Analysis

DOI

2025

High-order moment-based Hermite WENO schemes for hyperbolic conservation laws on triangular meshes

Journal of Computational Physics

DOI

2024

High-order finite volume methods for solving compressible multicomponent flows

Science China Mathematics

DOI

2024

High-Order Multi-resolution Central Hermite WENO Schemes for Hyperbolic Conservation Laws

Journal of Scientific Computing

DOI

2024

A compact simple HWENO scheme with ADER time discretization for hyperbolic conservation laws I: Structured meshes

Journal of Computational Physics

DOI

2024

High-order finite volume method for solving compressible multicomponent flows with Mie-Grüneisen equation of state

Computers & Fluids

DOI

2024

A Moment-Based Hermite WENO Scheme with Unified Stencils for Hyperbolic Conservation Laws

Journal of Scientific Computing

DOI

2023

高精度WENO格式的发展与展望

Scientia Sinica Mathematica

DOI

2023

加权本质无振荡方法综述

《厦门大学学报(自然科学版)》

2023

An oscillation-free Hermite WENO scheme for hyperbolic conservation laws

Science China Mathematics

DOI

2023

Dimension by Dimension Finite Volume HWENO Method for Hyperbolic Conservation Laws

Communication on Applied Mathematics and Computation

DOI

2023

High-order adaptive multi-resolution method on curvilinear grids I: Finite difference framework

Journal of Computational Physics

DOI

2023

RKDG Methods with Multi-resolution WENO Limiters for Solving Steady-State Problems on Triangular Meshes

Communication on Applied Mathematics and Computation

DOI

2023

Provably convergent Newton–Raphson methods for recovering primitive variables with applications to physical-constraint-preserving Hermite WENO schemes for relativistic hydrodynamics

Journal of Computational Physics

DOI

2023

Hybrid HWENO Method for Nonlinear Degenerate Parabolic Equations

Journal of Scientific Computing

DOI

2023

On high order positivity-preserving well-balanced finite volume methods for the Euler equations with gravitation

Journal of Computational Physics

DOI

2023

A robust fifth order finite difference Hermite WENO scheme for compressible Euler equations

Computer Methods in Applied Mechanics and Engineering

DOI

2023

A one-stage high-order gas-kinetic scheme for multi-component flows with interface-sharpening technique

Journal of Computational Physics

DOI

2022

Fourth-Order Conservative Non-splitting Semi-Lagrangian Hermite WENO Schemes for Kinetic and Fluid Simulations

Journal of Scientific Computing

DOI

2022

Direct WENO scheme for dispersion-type equations

Mathematics and Computers in Simulation

DOI

2022

SSP IMEX Runge-Kutta WENO Scheme for Generalized Rosenau-KdV-RLW Equation

Journal of Mathematical Study

DOI

2022

A well-balanced moving mesh discontinuous Galerkin method for the Ripa model on triangular meshes

Journal of Computational Physics

DOI

2022

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

Journal of Computational Physics

DOI

2022

Moment-based multi-resolution HWENO scheme for hyperbolic conservation laws

Communications in Computational Physics

DOI

2022

A Finite Difference Mapped WENO Scheme with Unequal-Size Stencils for Hyperbolic Conservation Laws

Journal of Scientific Computing

DOI

2022

Preface to the Focused Issue on WENO Schemes

Communication on Applied Mathematics and Computation

DOI

2022

A fourth-order conservative semi-Lagrangian finite volume WENO scheme without operator splitting for kinetic and fluid simulations

Computer Methods in Applied Mechanics and Engineering

DOI

2021

间断Galerkin方法中的加权本质无振荡限制器述评

《厦门大学学报(自然科学版)》

2021

Compact ETDRK scheme for nonlinear dispersive wave equations

Computational and Applied Mathematics

DOI

2021

High Order Residual Distribution Conservative Finite Difference HWENO Scheme for Steady State Problems

Journal of Computational Physics

DOI

2021

High-order Runge-Kutta discontinuous Galerkin methods with multi-resolution WENO limiters for solving steady-state problems

Applied Numerical Mathematics

DOI

2021

A high order conservative finite difference scheme for compressible two-medium flows

Journal of Computational Physics

DOI

2021

A Quasi-Conservative Discontinuous Galerkin Method for Multi-component Flows Using the Non-oscillatory Kinetic Flux II: ALE Framework

Journal of Scientific Computing

DOI

2021

New Finite Difference Mapped WENO Schemes with Increasingly High Order of Accuracy

Communication on Applied Mathematics and Computation

DOI

2021

Positivity-preserving high order finite volume hybrid Hermite WENO schemes for compressible Navier-Stokes equations

Journal of Computational Physics

DOI

2021

Multi-resolution HWENO schemes for hyperbolic conservation laws

Journal of Computational Physics

DOI

2021

A compact and efficient high-order gas-kinetic scheme

Journal of Computational Physics

DOI

2021

A Conservative Semi-Lagrangian Hybrid Hermite WENO Scheme for Linear Transport Equations and the Nonlinear Vlasov-Poisson System

SIAM Journal on Scientific Computing

DOI

2021

A study on CFL conditions for the DG solution of conservation laws on adaptive moving meshes

Numerical Mathematics: Theory, Methods and Applications

DOI

2021

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

Communications in Computational Physics

DOI

2021

Adaptive Order WENO Reconstructions for the Semi-Lagrangian Finite Difference Scheme for Advection Problem

Communications in Computational Physics

DOI

2021

High Order Asymptotic Preserving Hermite WENO Fast Sweeping Method for the Steady-State SN\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt

Journal of Scientific Computing

DOI

2021

A Hermite WENO Method with Modified Ghost Fluid Method for Compressible Two-Medium Flow Problems

Communications in Computational Physics

DOI

2021

High-Order Runge-Kutta Discontinuous Galerkin Methods with a New Type of Multi-Resolution WENO Limiters on Tetrahedral Meshes

Communications in Computational Physics

DOI

2020

Corrigendum to "High order positivity-preserving discontinuous Galerkin schemes for radiative transfer equations on triangular meshes" [J. Comput. Phys. 397 (2019) 108811]

Journal of Computational Physics

DOI

2020

New Finite Difference Hermite WENO Schemes for Hamilton–Jacobi Equations

Journal of Scientific Computing

DOI

2020

A hybrid WENO method with modified ghost fluid method for compressible two-medium flow problems

Numerical Mathematics: Theory, Methods and Applications

DOI

2020

A Hybrid Finite Difference WENO-ZQ Fast Sweeping Method for Static Hamilton–Jacobi Equations

Journal of Scientific Computing

DOI

2020

High order finite difference Hermite WENO fast sweeping methods for static Hamilton-Jacobi equations

Journal of Computational Mathematics

DOI

2020

A High-Order Well-Balanced Positivity-Preserving Moving Mesh DG Method for the Shallow Water Equations With Non-Flat Bottom Topography

Journal of Scientific Computing

DOI

2020

A simple, high-order and compact WENO limiter for RKDG method

Computers and Mathematics with Applications

DOI

2020

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

Communications in Computational Physics

DOI

2020

High-order Runge-Kutta discontinuous Galerkin methods with a new type of multi-resolution WENO limiters

Journal of Computational Physics

DOI

2020

A Hermite WENO scheme with artificial linear weights for hyperbolic conservation laws

Journal of Computational Physics

DOI

2020

A Quasi-Conservative Discontinuous Galerkin Method for Multi-component Flows Using the Non-oscillatory Kinetic Flux

Journal of Scientific Computing

DOI

2020

A Modified Fifth Order Finite Difference Hermite WENO Scheme for Hyperbolic Conservation Laws

Journal of Scientific Computing

DOI

2020

A CONSERVATIVE SEMI-LAGRANGIAN HYBRID HERMITE

2020

High-order Runge-Kutta discontinuous Galerkin methods with a new type of multi-resolution WENO limiters on triangular meshes

Applied Numerical Mathematics

DOI

2020

A New Type of High-Order WENO Schemes for Hamilton-Jacobi Equations on Triangular Meshes

Communications in Computational Physics

DOI

2019

A hybrid Hermite WENO scheme for hyperbolic conservation laws

Journal of Computational Physics

DOI

2019

High order finite difference hermite WENO schemes for the Hamilton–Jacobi equations on unstructured meshes

Computers & Fluids

DOI

2019

High order positivity-preserving discontinuous Galerkin schemes for radiative transfer equations on triangular meshes

Journal of Computational Physics

DOI

2019

A new hybrid WENO scheme for hyperbolic conservation laws

Computers & Fluids

DOI

2019

High-order conservative positivity-preserving DG-interpolation for deforming meshes and application to moving mesh DG simulation of radiative transfer

SIAM Journal on Scientific Computing

DOI

2019

A high‐order Runge‐Kutta discontinuous Galerkin method with a subcell limiter on adaptive unstructured grids for two‐dimensional compressible inviscid flows

International Journal for Numerical Methods in Fluids

DOI

2018

A quasi-Lagrangian moving mesh discontinuous Galerkin method for hyperbolic conservation laws

Journal of Computational Physics

DOI

2018

High Order Residual Distribution for Steady State Problems for Hyperbolic Conservation Laws

Journal of Scientific Computing

DOI

2018

An Adaptive Moving Mesh Discontinuous Galerkin Method for the Radiative Transfer Equation

Communications in Computational Physics

DOI

2018

A compact streamfunction-velocity scheme for the 2-D unsteady incompressible Navier-Stokes equations in arbitrary curvilinear coordinates

Journal of Hydrodynamics

DOI

2018

New Finite Volume Weighted Essentially Nonoscillatory Schemes on Triangular Meshes

SIAM Journal on Scientific Computing

DOI

2018

Moving mesh finite difference solution of non-equilibrium radiation diffusion equations

Numerical Algorithms

DOI

2017

A new third order finite volume weighted essentially non-oscillatory scheme on tetrahedral meshes

Journal of Computational Physics

DOI

2017

Hybrid WENO Schemes with Lax-Wendroff Type Time Discretization

DOI

2017

A New Type of Finite Volume WENO Schemes for Hyperbolic Conservation Laws

Journal of Scientific Computing

DOI

2017

An h-Adaptive RKDG Method for the Two-Dimensional Incompressible Euler Equations and the Guiding Center Vlasov Model

Journal of Scientific Computing

DOI

2017

Finite difference Hermite WENO schemes for the Hamilton-Jacobi equations

Journal of Computational Physics

DOI

2017

Dimension-by-dimension moment-based central Hermite WENO schemes for directly solving Hamilton-Jacobi equations

Advances in Computational Mathematics

DOI

2017

A new fifth order finite difference WENO scheme for Hamilton‐Jacobi equations

DOI

2017

A New Type of Modified WENO Schemes for Solving Hyperbolic Conservation Laws

SIAM Journal on Scientific Computing

DOI

2017

Hermite Weno Schemes with Strong Stability Preserving Multi-Step Temporal Discretization Methods for Conservation Laws

DOI

2016

Finite Volume HWENO Schemes for Nonconvex Conservation Laws

Journal of Scientific Computing

DOI

2016

Directly solving the Hamilton-Jacobi equations by Hermite WENO Schemes

Journal of Computational Physics

DOI

2016

An Adaptive Moving Mesh Finite Element Solution of the Regularized Long Wave Equation

Journal of Scientific Computing

DOI

2016

An h-Adaptive RKDG Method for the Vlasov–Poisson System

Journal of Scientific Computing

DOI

2016

High-order central Hermite WENO schemes: Dimension-by-dimension moment-based reconstructions

Journal of Computational Physics

DOI

2016

Runge-Kutta Discontinuous Galerkin Method with a Simple and Compact Hermite WENO Limiter

DOI

2016

A conservative semi-Lagrangian HWENO method for the Vlasov equation

Journal of Computational Physics

DOI

2016

A new fifth order finite difference WENO scheme for solving hyperbolic conservation laws

Journal of Computational Physics

DOI

2016

Positivity-Preserving Runge-Kutta Discontinuous Galerkin Method on Adaptive Cartesian Grid for Strong Moving Shock

DOI

2016

Stability, Error Estimate and Limiters of Discontinuous Galerkin Methods

DOI

2015

A hybrid LDG-HWENO scheme for KdV-type equations

Journal of Computational Physics

DOI

2015

A moving mesh finite difference method for equilibrium radiation diffusion equations

Journal of Computational Physics

DOI

2015

A New Lax–Wendroff Discontinuous Galerkin Method with Superconvergence

Journal of Scientific Computing

DOI

2015

Positivity-Preserving High Order Finite Volume HWENO Schemes for Compressible Euler Equations

Journal of Scientific Computing

DOI

2015

Finite Difference Hermite WENO Schemes for Conservation Laws, II: An Alternative Approach

Journal of Scientific Computing

DOI

2015

High-order central Hermite WENO schemes on staggered meshes for hyperbolic conservation laws

Journal of Computational Physics

DOI

2015

Variable step size multistep method time discrete algorithm keeping strong stability

2014

交错网格上高斯型格式的逐点收敛阶估计

《南京邮电大学学报(自然科学版)》

2014

Finite Difference Hermite WENO Schemes for Hyperbolic Conservation Laws

Journal of Scientific Computing

DOI

2014

Finite Volume Hermite WENO Schemes for Solving the Hamilton-Jacobi Equation

DOI

2014

Finite volume Hermite WENO schemes for solving the Hamilton-Jacobi equations II: Unstructured meshes

Computers and Mathematics with Applications

DOI

2014

Hybrid WENO schemes with different indicators on curvilinear grids

Advances in Computational Mathematics

DOI

2014

Adaptive Runge-Kutta Discontinuous Galerkin Methods with Modified Ghost Fluid Method for Simulating the Compressible Two-Medium Flow

DOI

2013

Dispersion and Dissipation Errors of Two Fully Discrete Discontinuous Galerkin Methods

Journal of Scientific Computing

DOI

2013

WENO Schemes and Their Application as Limiters for RKDG Methods Based on Trigonometric Approximation Spaces

Journal of Scientific Computing

DOI

2013

Hermite WENO schemes for Hamilton-Jacobi equations on unstructured meshes

Journal of Computational Physics

DOI

2013

Runge-Kutta discontinuous Galerkin method using a new type of WENO limiters on unstructured meshes

Journal of Computational Physics

DOI

2013

Positivity-preserving DG and central DG methods for ideal MHD equations

Journal of Computational Physics

DOI

2013

An h-adaptive RKDG method with troubled-cell indicator for two-dimensional hyperbolic conservation laws

Advances in Computational Mathematics

DOI

2013

Adaptive Runge–Kutta discontinuous Galerkin method for complex geometry problems on Cartesian grid

DOI

2013

An h-Adaptive Runge-Kutta Discontinuous Galerkin Method for Hamilton-Jacobi Equations

DOI

2013

A Comparison of the Performance of Limiters for Runge-Kutta Discontinuous Galerkin Methods

DOI

2012

RKDG methods with WENO limiters for unsteady cavitating flow

DOI

2012

An Eulerian-Lagrangian WENO finite volume scheme for advection problems

Journal of Computational Physics

DOI

2012

Runge-Kutta Discontinuous Galerkin Method Using WENO-Type Limiters: Three-Dimensional Unstructured Meshes

DOI

2012

A Moving Mesh WENO Method for One-Dimensional Conservation Laws

SIAM Journal on Scientific Computing

DOI

2012

Hybrid Well-balanced WENO Schemes with Different Indicators for Shallow Water Equations

Journal of Scientific Computing

DOI

2012

Maximum principle in linear finite element approximations of anisotropic diffusion–convection–reaction problems

Numerische Mathematik

DOI

2011

RKDG methods with WENO type limiters and conservative interfacial procedure for one-dimensional compressible multi-medium flow simulations

DOI

2011

Local DG method using WENO type limiters for convection-diffusion problems

Journal of Computational Physics

DOI

2011

Preface to the special issue "High order methods for CFD problems"

Journal of Computational Physics

DOI

2011

Simulations of Shallow Water Equations with Finite Difference Lax-Wendroff Weighted Essentially Non-oscillatory Schemes

Journal of Scientific Computing

DOI

2011

Local-Structure-Preserving Discontinuous Galerkin Methods with Lax-Wendroff Type Time Discretizations for Hamilton-Jacobi Equations

Journal of Scientific Computing

DOI

2011

WEIGHTED NON-OSCILLATORY LIMITERS FOR RUNGE-KUTTA DISCONTINUOUS GALERKIN METHODS

DOI

2010

A NUMERICAL STUDY FOR THE PERFORMANCE OF THE WENO SCHEMES BASED ON DIFFERENT NUMERICAL FLUXES FOR THE SHALLOW WATER EQUATIONS

DOI

2010

RKDG with WENO Type Limiters

DOI

2010

Hybrid weighted essentially non-oscillatory schemes with different indicators

Journal of Computational Physics

DOI

2010

Trigonometric WENO Schemes for Hyperbolic Conservation Laws and Highly Oscillatory Problems

DOI

2009

LWDG Method for a Multi-Class Traffic Flow Model on an Inhomogeneous Highway

Advances in Applied Mathematics and Mechanics

DOI

2009

Local Discontinuous Galerkin Finite Element Method and Error Estimates for One Class of Sobolev Equation

Journal of Scientific Computing

DOI

2009

Adaptive Runge-Kutta discontinuous Galerkin methods using different indicators: One-dimensional case

Journal of Computational Physics

DOI

2009

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

Journal of Scientific Computing

DOI

2009

Weighted essential non‐oscillatory schemes for tidal bore on unstructured meshes

DOI

2008

Development and Comparison of Numerical Fluxes for LWDG Methods

2008

Runge-Kutta discontinuous Galerkin method using WENO limiters II: Unstructured meshes

Journal of Computational Physics

DOI

2008

Simulations of Compressible Two-Medium Flow by Runge-Kutta Discontinuous Galerkin Methods with the Ghost Fluid Method

Communications in Computational Physics

DOI

2008

Simulations of detonation wave propagation in rectangular ducts using a three-dimensional WENO scheme

DOI

2008

クラス4次有限体積Hermiteの重みづけされた本来的非振動スキーム【Powered by NICT】

2008

A class of the fourth order finite volume Hermite weighted essentially non-oscillatory schemes

DOI

2007

WENO schemes with Lax-Wendroff type time discretizations for Hamilton-Jacobi equations

DOI

2007

A Numerical Comparison of the Lax–Wendroff Discontinuous Galerkin Method Based on Different Numerical Fluxes

Journal of Scientific Computing

DOI

2007

Runge-Kutta discontinuous Galerkin methods for compressible two-medium flow simulations: One-dimensional case

Journal of Computational Physics

DOI

2007

Hermite WENO Schemes with Lax-Wendroff Type Time Discretizations for Hamilton-Jacobi Equations

Journal of Computational Mathematics

DOI

2007

Three-Dimensional Numerical Simulation for Detonation Waves Using WENO Schemes

DOI

2006

A numerical study for the performance of the Runge-Kutta discontinuous Galerkin method based on different numerical fluxes

Journal of Computational Physics

DOI

2005

Hermite WENO schemes for Hamilton-Jacobi equations

DOI

2005

Hermite WENO schemes and their application as limiters for Runge-Kutta discontinuous Galerkin method II: Two dimensional case

DOI

2005

Runge-Kutta Discontinuous Galerkin Method Using WENO Limiters

SIAM Journal on Scientific Computing

DOI

2005

A Comparison of Troubled-Cell Indicators for Runge-Kutta Discontinuous Galerkin Methods Using Weighted Essentially Nonoscillatory Limiters

SIAM Journal on Scientific Computing

DOI

2005

The discontinuous Galerkin method with Lax-Wendroff type time discretizations

DOI

2004

双曲守恒律方程的加权本质无振荡格式新进展

《力学进展》

2004

双曲守恒律方程WENO格式的优化方法

《中国科学技术大学学报》

2004

Hermite WENO schemes and their application as limiters for Runge-Kutta discontinuous Galerkin method: one-dimensional case

DOI

2002

交错网格下的浅水方程高分辨Gauss型格式

《水科学进展》

2002

Finite Difference WENO Schemes with Lax-Wendroff-Type Time Discretizations

SIAM Journal on Scientific Computing

DOI

2002

On the construction, comparison, and local characteristic decomposition for high-Order central WENO schemes

DOI

2001

一类交错网格的Gauss型格式

《应用数学》

2001

加权ENO格式的构造及数值模拟

《计算物理》

2001

流体动力学方程的差分格式及其收敛性研究

《南京航空航天大学》

2001

二维交错网格的GAUSS型格式

《计算物理》

2001

A CLASS OF GAUSS SCHEMES WITH STAGGERED GRIDS IN TWO DIMENSIONS

2000

一类求解Hamilton-Jacobi方程的交错网格差分格式

《南京航空航天大学学报(自然科学版)》

1999

求解双曲守恒律初值问题的GAUSS格式

《燃气涡轮试验与研究》

1998

一类广义的Lax-Friedrich格式

《集美大学学报(自然科学版)》

1997

求解常微分方程的GAUSS型格式

《集美大学学报(自然科学版)》

1995

一类大时间步长的TVD格式

《集美大学学报(自然科学版)》

1994

二阶大时间步长的广义EO格式的收敛性

《集美大学学报(自然科学版)》

Development and prospect of high-order WENO schemes

2020

多介质问题紧致高精度算法研究

《第十一届全国流体力学学术会议论文摘要集》

DOI

2026

Beyond Free-Stream Preservation: Transport Polynomial Exactness for Moving-Mesh Methods under Arbitrary Mesh Motion

arXiv (Cornell University)

DOI

2026

A Local Time Stepping High Order Discontinuous Galerkin Gas Kinetic Scheme for Compressible flows

SSRN Electronic Journal

DOI

2023

High-Order Discontinuous Galerkin Schemes for Radiation Hydrodynamics Equations in the Equilibrium-Diffusion Limit

SSRN Electronic Journal

DOI