Xiangxiong Zhang

发表

Maximum-principle-satisfying and positivity-preserving high-order schemes for conservation laws: survey and new developments

Xiangxiong Zhang, Chi-Wang Shu, Chi-Wang Shu, 2011, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

Positivity-preserving high order well-balanced discontinuous Galerkin methods for the shallow water equations

Yulong Xing, Xiangxiong Zhang, Chi-Wang Shu, 2010 .

Bound-Preserving High-Order Schemes

Xiangxiong Zhang, Zhengfu Xu, Zhengfu Xu, 2017 .

A HIGH ORDER ACCURATE BOUND-PRESERVING COMPACT 1 FINITE DIFFERENCE SCHEME FOR SCALAR CONVECTION 2 DIFFUSION

Shusen Xie, Xiangxiong Zhang, 2018 .

ON THE MONOTONICITY OF HIGH ORDER DISCRETE

Xiangxiong Zhang, Logan J. Cross, 2020 .

On the monotonicity and discrete maximum principle of the finite difference implementation of C0\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}

Xiangxiong Zhang, Lizhu Hao, Hao Li, 2019, Numerische Mathematik.

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

Xiangxiong Zhang, J. Qiu, Chuan Fan, 2022, J. Comput. Phys..

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

Xiangxiong Zhang, J. Qiu, Xiaofeng Cai, 2015, Journal of Scientific Computing.

Structure preserving schemes for Fokker-Planck equations of irreversible processes

Yuan Gao, Xiangxiong Zhang, Yuan Gao, 2022, ArXiv.

Robust high order discontinuous Galerkin schemes for two-dimensional gaseous detonations

Cheng Wang, Xiangxiong Zhang, Chi-Wang Shu, 2012, J. Comput. Phys..

On positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations on rectangular meshes

Xiangxiong Zhang, Chi-Wang Shu, Chi-Wang Shu, 2010, J. Comput. Phys..

On the monotonicity of high order discrete Laplacian pdf

Xiangxiong Zhang, Logan J. Cross, Xiangxiong Zhang, 2020, ArXiv.

On the monotonicity and discrete maximum principle of the finite difference implementation of $C^0$ - $Q^2$ finite element method

Xiangxiong Zhang, Hao Li, Xiangxiong Zhang, 2019, Numerische Mathematik.

Maximum-principle-satisfying second order discontinuous Galerkin schemes for convection-diffusion equations on triangular meshes

Yifan Zhang, Xiangxiong Zhang, Chi-Wang Shu, 2013, J. Comput. Phys..

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

Xiangxiong Zhang, Chi-Wang Shu, Chi-Wang Shu, 2012, J. Comput. Phys..

On positivity-preserving high order discontinuous Galerkin schemes for compressible Navier-Stokes equations

Xiangxiong Zhang, Xiangxiong Zhang, 2017, J. Comput. Phys..

On the convergence of Sobolev gradient flow for the Gross-Pitaevskii eigenvalue problem

Yulong Lu, Xiangxiong Zhang, Ziang Chen, 2023, ArXiv.

Eventual linear convergence of the Douglas-Rachford iteration for basis pursuit

Laurent Demanet, Xiangxiong Zhang, L. Demanet, 2013, Math. Comput..

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

Jianxian Qiu, Xiangxiong Zhang, Chuan Fan, 2021, J. Comput. Phys..

Superconvergence of C0-Qk Finite Element Method for Elliptic Equations with Approximated Coefficients

Xiangxiong Zhang, Hao Li, Xiangxiong Zhang, 2019, J. Sci. Comput..

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

Xiangxiong Zhang, Jianxian Qiu, Xiaofeng Cai, 2015, Journal of Scientific Computing.

A simple and accurate discontinuous Galerkin scheme for modeling scalar-wave propagation in media with curved interfaces

Xiangxiong Zhang, Sirui Tan, Xiangxiong Zhang, 2014 .

A bound-preserving high order scheme for variable density incompressible Navier-Stokes equations

Xiangxiong Zhang, Jie Shen, Yongping Cheng, 2021, J. Comput. Phys..

Positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations with source terms

Xiangxiong Zhang, Chi-Wang Shu, Chi-Wang Shu, 2011, J. Comput. Phys..

Riemannian optimization using three different metrics for Hermitian PSD fixed-rank constraints: an extended version

Xiangxiong Zhang, Bart Vandereycken, Shixin Zheng, 2022, ArXiv.

Accuracy of spectral element method for wave, parabolic and Schrödinger equations

D. Appelö, Xiangxiong Zhang, Hao Li, 2021, SIAM J. Numer. Anal..

ACCURACY OF SPECTRAL ELEMENT METHOD FOR WAVE,

D. Appelö, Xiangxiong Zhang, 2021 .

A curved boundary treatment for discontinuous Galerkin schemes solving time dependent problems

Xiangxiong Zhang, Xiangxiong Zhang, 2016, J. Comput. Phys..

On maximum-principle-satisfying high order schemes for scalar conservation laws

Xiangxiong Zhang, Chi-Wang Shu, Chi-Wang Shu, 2010, J. Comput. Phys..

Maximum-Principle-Satisfying and Positivity-Preserving High Order Discontinuous Galerkin Schemes for Conservation Laws on Triangular Meshes

Xiangxiong Zhang, Chi-Wang Shu, Yinhua Xia, 2011, Journal of Scientific Computing.

A minimum entropy principle of high order schemes for gas dynamics equations

Xiangxiong Zhang, Chi-Wang Shu, Chi-Wang Shu, 2011, Numerische Mathematik.

Solving PhaseLift by Low-rank Riemannian Optimization Methods

Wen Huang, Xiangxiong Zhang, Kyle A. Gallivan, 2017, ICCS.

On a Class of Implicit–Explicit Runge–Kutta Schemes for Stiff Kinetic Equations Preserving the Navier–Stokes Limit

Jingwei Hu, Xiangxiong Zhang, 2017, J. Sci. Comput..

Asymptotic-Preserving and Positivity-Preserving Implicit-Explicit Schemes for the Stiff BGK Equation

Xiangxiong Zhang, Jingwei Hu, Ruiwen Shu, 2017, SIAM J. Numer. Anal..

Superconvergence of $C^0$-$Q^k$ finite element method for elliptic equations with approximated coefficients

Xiangxiong Zhang, Hao Li, 2019, 1902.00945.

On the convergence of orthogonalization-free conjugate gradient method for extreme eigenvalues of Hermitian matrices: a Riemannian optimization interpretation

Haizhao Yang, Xiangxiong Zhang, Shixin Zheng, 2023, ArXiv.

A positivity-preserving high order discontinuous Galerkin scheme for convection-diffusion equations

Xiangxiong Zhang, Jonathan Poggie, Sashank Srinivasan, 2018, J. Comput. Phys..

Riemannian optimization using three different metrics for Hermitian PSD fixed-rank constraints: an extended version

Xiangxiong Zhang, Bart Vandereycken, Shixin Zheng, 2022, ArXiv.

On the convergence of orthogonalization-free conjugate gradient method for extreme eigenvalues of Hermitian matrices: a Riemannian optimization interpretation

Haizhao Yang, Xiangxiong Zhang, Shixin Zheng, 2023, arXiv.org.

Positivity-Preserving Well-Balanced Discontinuous Galerkin Methods for the Shallow Water Equations on Unstructured Triangular Meshes

Yulong Xing, Xiangxiong Zhang, Xiangxiong Zhang, 2013, J. Sci. Comput..

Superconvergence of High Order Finite Difference Schemes Based on Variational Formulation for Elliptic Equations

Hao Li, Xiangxiong Zhang, Xiangxiong Zhang, 2019, J. Sci. Comput..

A simple and efficient convex optimization based bound-preserving high order accurate limiter for Cahn-Hilliard-Navier-Stokes system

B. Rivière, Jie Shen, Xiangxiong Zhang, 2023, ArXiv.

A positivity-preserving implicit-explicit scheme with high order polynomial basis for compressible Navier-Stokes equations

Xiangxiong Zhang, Chen Liu, 2023, J. Comput. Phys..

Superconvergence of C0\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$C^0$$\end{document}-Qk\documentclass[12pt]{minim

Xiangxiong Zhang, Hao Li, 2019, Journal of Scientific Computing.

High-dimensional wave atoms and compression of seismic data sets

Laurent Demanet, Lexing Ying, Xiangxiong Zhang, 2013 .