Xiangxiong Zhang

Publication Activity (10 Years)

Years Active: 2010-2024
Publications (10 Years): 43

Top Topics

Optimization Methods

Top Venues

J. Comput. Phys.

J. Sci. Comput.

SIAM J. Numer. Anal.

Publications

Ziang Chen, Jianfeng Lu, Yulong Lu, Xiangxiong Zhang
On the Convergence of Sobolev Gradient Flow for the Gross-Pitaevskii Eigenvalue Problem. SIAM J. Numer. Anal. 62 (2) (2024)
Yuan Chen, Dongbin Xiu, Xiangxiong Zhang
On enforcing non-negativity in polynomial approximations in high dimensions. CoRR (2024)
Chen Liu, Yuan Gao, Xiangxiong Zhang
Structure Preserving Schemes for Fokker-Planck Equations of Irreversible Processes. J. Sci. Comput. 98 (1) (2024)
Shixin Zheng, Haizhao Yang, Xiangxiong Zhang
On the convergence of orthogonalization-free conjugate gradient method for extreme eigenvalues of Hermitian matrices: A Riemannian optimization interpretation. J. Comput. Appl. Math. 451 (2024)
Ziang Chen, Jianfeng Lu, Yulong Lu, Xiangxiong Zhang
Fully discretized Sobolev gradient flow for the Gross-Pitaevskii eigenvalue problem. CoRR (2024)
Chen Liu, Beatrice Riviere, Jie Shen, Xiangxiong Zhang
A Simple and Efficient Convex Optimization Based Bound-Preserving High Order Accurate Limiter for Cahn-Hilliard-Navier-Stokes System. SIAM J. Sci. Comput. 46 (3) (2024)
Chen Liu, Xiangxiong Zhang
An optimization based limiter for enforcing positivity in a semi-implicit discontinuous Galerkin scheme for compressible Navier-Stokes equations. CoRR (2024)
Shixin Zheng, Haizhao Yang, Xiangxiong Zhang
On the convergence of orthogonalization-free conjugate gradient method for extreme eigenvalues of Hermitian matrices: a Riemannian optimization interpretation. CoRR (2023)
Xinyu Liu, Jie Shen, Xiangxiong Zhang
A simple GPU implementation of spectral-element methods for solving 3D Poisson type equations on cartesian meshes. CoRR (2023)
Chen Liu, Xiangxiong Zhang
A positivity-preserving implicit-explicit scheme with high order polynomial basis for compressible Navier-Stokes equations. J. Comput. Phys. 493 (2023)
Hao Li, Shusen Xie, Xiangxiong Zhang
A high order accurate bound-preserving compact finite difference scheme for scalar convection diffusion equations. CoRR (2023)
Logan J. Cross, Xiangxiong Zhang
spectral element method for Laplacian on quasi-uniform rectangular meshes. CoRR (2023)
Tianmin Yu, Shixin Zheng, Jianfeng Lu, Govind Menon, Xiangxiong Zhang
Riemannian Langevin Monte Carlo schemes for sampling PSD matrices with fixed rank. CoRR (2023)
Mimi Dai, Bhakti Vyas, Xiangxiong Zhang
1D Model for the 3D Magnetohydrodynamics. J. Nonlinear Sci. 33 (5) (2023)
Chen Liu, Beatrice Riviere, Jie Shen, Xiangxiong Zhang
A simple and efficient convex optimization based bound-preserving high order accurate limiter for Cahn-Hilliard-Navier-Stokes system. CoRR (2023)
Hao Li, Xiangxiong Zhang
A high order accurate bound-preserving compact finite difference scheme for two-dimensional incompressible flow. CoRR (2023)
Ziang Chen, Jianfeng Lu, Yulong Lu, Xiangxiong Zhang
On the convergence of Sobolev gradient flow for the Gross-Pitaevskii eigenvalue problem. CoRR (2023)
Hao Li, Xiangxiong Zhang
finite element method for anisotropic elliptic equations. CoRR (2023)
Xinyu Liu, Jie Shen, Xiangxiong Zhang
An Efficient and Robust Scalar Auxialiary Variable Based Algorithm for Discrete Gradient Systems Arising from Optimizations. SIAM J. Sci. Comput. 45 (5) (2023)
Chen Liu, Xiangxiong Zhang
A positivity-preserving implicit-explicit scheme with high order polynomial basis for compressible Navier-Stokes equations. CoRR (2023)
Hao Li, Daniel Appelö, Xiangxiong Zhang
Accuracy of Spectral Element Method for Wave, Parabolic, and Schrödinger Equations. SIAM J. Numer. Anal. 60 (1) (2022)
Chuan Fan, Xiangxiong Zhang, Jianxian Qiu
Positivity-preserving high order finite difference WENO schemes for compressible Navier-Stokes equations. J. Comput. Phys. 467 (2022)
Shixin Zheng, Wen Huang, Bart Vandereycken, Xiangxiong Zhang
Riemannian optimization using three different metrics for Hermitian PSD fixed-rank constraints: an extended version. CoRR (2022)
Chen Liu, Yuan Gao, Xiangxiong Zhang
Structure preserving schemes for Fokker-Planck equations of irreversible processes. CoRR (2022)
Jingwei Hu, Xiangxiong Zhang
Positivity-preserving and energy-dissipative finite difference schemes for the Fokker-Planck and Keller-Segel equations. CoRR (2021)
Jie Shen, Xiangxiong Zhang
Discrete Maximum principle of a high order finite difference scheme for a generalized Allen-Cahn equation. CoRR (2021)
Chuan Fan, Xiangxiong Zhang, Jianxian Qiu
Positivity-preserving high order finite volume hybrid Hermite WENO schemes for compressible Navier-Stokes equations. J. Comput. Phys. 445 (2021)
Hao Li, Daniel Appelö, Xiangxiong Zhang
Accuracy of spectral element method for wave, parabolic and Schrödinger equations. CoRR (2021)
Maojun Li, Yongping Cheng, Jie Shen, Xiangxiong Zhang
A bound-preserving high order scheme for variable density incompressible Navier-Stokes equations. J. Comput. Phys. 425 (2021)
Hao Li, Xiangxiong Zhang
On the monotonicity and discrete maximum principle of the finite difference implementation of \(C^0\) - \(Q^2\) finite element method. Numerische Mathematik 145 (2) (2020)
Logan J. Cross, Xiangxiong Zhang
On the monotonicity of high order discrete Laplacian. CoRR (2020)
Hao Li, Xiangxiong Zhang
Finite Element Method for Elliptic Equations with Approximated Coefficients. J. Sci. Comput. 82 (1) (2020)
Hao Li, Xiangxiong Zhang
Superconvergence of High Order Finite Difference Schemes Based on Variational Formulation for Elliptic Equations. J. Sci. Comput. 82 (2) (2020)
Hao Li, Shusen Xie, Xiangxiong Zhang
A High Order Accurate Bound-Preserving Compact Finite Difference Scheme for Scalar Convection Diffusion Equations. SIAM J. Numer. Anal. 56 (6) (2018)
Jingwei Hu, Ruiwen Shu, Xiangxiong Zhang
Asymptotic-Preserving and Positivity-Preserving Implicit-Explicit Schemes for the Stiff BGK Equation. SIAM J. Numer. Anal. 56 (2) (2018)
Sashank Srinivasan, Jonathan Poggie, Xiangxiong Zhang
A positivity-preserving high order discontinuous Galerkin scheme for convection-diffusion equations. J. Comput. Phys. 366 (2018)
Wen Huang, Kyle A. Gallivan, Xiangxiong Zhang
Solving PhaseLift by Low-Rank Riemannian Optimization Methods for Complex Semidefinite Constraints. SIAM J. Sci. Comput. 39 (5) (2017)
Jingwei Hu, Xiangxiong Zhang
On a Class of Implicit-Explicit Runge-Kutta Schemes for Stiff Kinetic Equations Preserving the Navier-Stokes Limit. J. Sci. Comput. 73 (2-3) (2017)
Xiangxiong Zhang
On positivity-preserving high order discontinuous Galerkin schemes for compressible Navier-Stokes equations. J. Comput. Phys. 328 (2017)
Xiaofeng Cai, Xiangxiong Zhang, Jianxian Qiu
Positivity-Preserving High Order Finite Volume HWENO Schemes for Compressible Euler Equations. J. Sci. Comput. 68 (2) (2016)
Laurent Demanet, Xiangxiong Zhang
Eventual linear convergence of the Douglas-Rachford iteration for basis pursuit. Math. Comput. 85 (297) (2016)
Xiangxiong Zhang
A curved boundary treatment for discontinuous Galerkin schemes solving time dependent problems. J. Comput. Phys. 308 (2016)
Wen Huang, Kyle A. Gallivan, Xiangxiong Zhang
Solving PhaseLift by Low-rank Riemannian Optimization Methods. ICCS (2016)
Yulong Xing, Xiangxiong Zhang
Positivity-Preserving Well-Balanced Discontinuous Galerkin Methods for the Shallow Water Equations on Unstructured Triangular Meshes. J. Sci. Comput. 57 (1) (2013)
Yifan Zhang, Xiangxiong Zhang, Chi-Wang Shu
Maximum-principle-satisfying second order discontinuous Galerkin schemes for convection-diffusion equations on triangular meshes. J. Comput. Phys. 234 (2013)
Laurent Demanet, Xiangxiong Zhang
Eventual linear convergence of the Douglas Rachford iteration for basis pursuit CoRR (2013)
Xiangxiong Zhang, Yuanyuan Liu, Chi-Wang Shu
Maximum-principle-satisfying High Order Finite Volume Weighted Essentially Nonoscillatory Schemes for Convection-diffusion Equations. SIAM J. Sci. Comput. 34 (2) (2012)
Xiangxiong Zhang, Chi-Wang Shu
Positivity-preserving high order finite difference WENO schemes for compressible Euler equations. J. Comput. Phys. 231 (5) (2012)
Xiangxiong Zhang, Chi-Wang Shu
A minimum entropy principle of high order schemes for gas dynamics equations. Numerische Mathematik 121 (3) (2012)
Cheng Wang, Xiangxiong Zhang, Chi-Wang Shu, Jianguo Ning
Robust high order discontinuous Galerkin schemes for two-dimensional gaseous detonations. J. Comput. Phys. 231 (2) (2012)
Xiangxiong Zhang, Yinhua Xia, Chi-Wang Shu
Maximum-Principle-Satisfying and Positivity-Preserving High Order Discontinuous Galerkin Schemes for Conservation Laws on Triangular Meshes. J. Sci. Comput. 50 (1) (2012)
Xiangxiong Zhang, Chi-Wang Shu
Positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations with source terms. J. Comput. Phys. 230 (4) (2011)
Xiangxiong Zhang, Chi-Wang Shu
On positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations on rectangular meshes. J. Comput. Phys. 229 (23) (2010)
Xiangxiong Zhang, Chi-Wang Shu
On maximum-principle-satisfying high order schemes for scalar conservation laws. J. Comput. Phys. 229 (9) (2010)
Xiangxiong Zhang, Chi-Wang Shu
A Genuinely High Order Total Variation Diminishing Scheme for One-Dimensional Scalar Conservation Laws. SIAM J. Numer. Anal. 48 (2) (2010)