Xiangxiong Zhang

70 papers Misc 1Journal 69

Year	Rank	Type	Title / Venue / Authors
2026	J	`jnl`	Computing the Gross-Pitaevskii Ground State via Wasserstein Gradient Flow in Diffeomorphism Space. CoRR Xiangxiong Zhang, Haomin Zhou
2025	J	`jnl`	A bound-preserving Runge-Kutta discontinuous Galerkin method with compact stencils for hyperbolic conservation laws. J. Comput. Phys. Chen Liu, Zheng Sun, Xiangxiong Zhang
2025	J	`jnl`	An Efficient Quasi-Newton Method with Tensor Product Implementation for Solving Quasi-Linear Elliptic Equations and Systems. CoRR Wenrui Hao, Sun Lee, Xiangxiong Zhang
2025	J	`jnl`	An Efficient Quasi-Newton Method with Tensor Product Implementation for Solving Quasi-Linear Elliptic Equations and Systems. J. Sci. Comput. Wenrui Hao, Sun Lee, Xiangxiong Zhang
2025	J	`jnl`	An optimization-based positivity-preserving limiter in semi-implicit discontinuous Galerkin schemes solving Fokker-Planck equations. Comput. Math. Appl. Chen Liu, Jingwei Hu, William T. Taitano, Xiangxiong Zhang
2025	J	`jnl`	Asymptotic Linear Convergence of ADMM for Isotropic TV Norm Compressed Sensing. CoRR Emmanuel Gil Torres, Matt Jacobs, Xiangxiong Zhang
2025	J	`jnl`	Efficient optimization-based invariant-domain-preserving limiters in solving gas dynamics equations. CoRR Chen Liu, Dionysis Milesis, Chi-Wang Shu, Xiangxiong Zhang
2025	J	`jnl`	High Order Numerical Methods Preserving Invariant Domain for Hyperbolic and Related Systems. CoRR Kailiang Wu, Xiangxiong Zhang, Chi-Wang Shu
2025	J	`jnl`	On Enforcing Nonnegativity in Polynomial Approximations in High Dimensions. SIAM J. Sci. Comput. Yuan Chen, Dongbin Xiu, Xiangxiong Zhang
2025	J	`jnl`	Riemannian optimization using three different metrics for Hermitian PSD fixed-rank constraints. Comput. Optim. Appl. Shixin Zheng, Wen Huang, Bart Vandereycken, Xiangxiong Zhang
2024	J	`jnl`	A Simple and Efficient Convex Optimization Based Bound-Preserving High Order Accurate Limiter for Cahn-Hilliard-Navier-Stokes System. SIAM J. Sci. Comput. Chen Liu, Beatrice Riviere, Jie Shen, Xiangxiong Zhang
2024	J	`jnl`	A bound-preserving Runge-Kutta discontinuous Galerkin method with compact stencils for hyperbolic conservation laws. CoRR Chen Liu, Zheng Sun, Xiangxiong Zhang
2024	J	`jnl`	An optimization based limiter for enforcing positivity in a semi-implicit discontinuous Galerkin scheme for compressible Navier-Stokes equations. CoRR Chen Liu, Xiangxiong Zhang
2024	J	`jnl`	An optimization based limiter for enforcing positivity in a semi-implicit discontinuous Galerkin scheme for compressible Navier-Stokes equations. J. Comput. Phys. Chen Liu, Gregery T. Buzzard, Xiangxiong Zhang
2024	J	`jnl`	An optimization-based positivity-preserving limiter in semi-implicit discontinuous Galerkin schemes solving Fokker-Planck equations. CoRR Chen Liu, Jingwei Hu, William T. Taitano, Xiangxiong Zhang
2024	J	`jnl`	Fully discretized Sobolev gradient flow for the Gross-Pitaevskii eigenvalue problem. CoRR Ziang Chen, Jianfeng Lu, Yulong Lu, Xiangxiong Zhang
2024	J	`jnl`	On enforcing non-negativity in polynomial approximations in high dimensions. CoRR Yuan Chen, Dongbin Xiu, Xiangxiong Zhang
2024	J	`jnl`	On the Convergence of Sobolev Gradient Flow for the Gross-Pitaevskii Eigenvalue Problem. SIAM J. Numer. Anal. Ziang Chen, Jianfeng Lu, Yulong Lu, Xiangxiong Zhang
2024	J	`jnl`	On the convergence of orthogonalization-free conjugate gradient method for extreme eigenvalues of Hermitian matrices: A Riemannian optimization interpretation. J. Comput. Appl. Math. Shixin Zheng, Haizhao Yang, Xiangxiong Zhang
2024	J	`jnl`	Positivity and bound preserving well-balanced high order compact finite difference scheme for Ripa and pollutant transport model. Comput. Math. Appl. Baifen Ren, Bao-Shan Wang, Xiangxiong Zhang, Zhen Gao
2024	J	`jnl`	Structure Preserving Schemes for Fokker-Planck Equations of Irreversible Processes. J. Sci. Comput. Chen Liu, Yuan Gao, Xiangxiong Zhang
2023	J	`jnl`	1D Model for the 3D Magnetohydrodynamics. J. Nonlinear Sci. Mimi Dai, Bhakti Vyas, Xiangxiong Zhang
2023	J	`jnl`	A high order accurate bound-preserving compact finite difference scheme for scalar convection diffusion equations. CoRR Hao Li, Shusen Xie, Xiangxiong Zhang
2023	J	`jnl`	A high order accurate bound-preserving compact finite difference scheme for two-dimensional incompressible flow. CoRR Hao Li, Xiangxiong Zhang
2023	J	`jnl`	A monotone Q CoRR Hao Li, Xiangxiong Zhang
2023	J	`jnl`	A positivity-preserving implicit-explicit scheme with high order polynomial basis for compressible Navier-Stokes equations. CoRR Chen Liu, Xiangxiong Zhang
2023	J	`jnl`	A positivity-preserving implicit-explicit scheme with high order polynomial basis for compressible Navier-Stokes equations. J. Comput. Phys. Chen Liu, Xiangxiong Zhang
2023	J	`jnl`	A simple GPU implementation of spectral-element methods for solving 3D Poisson type equations on cartesian meshes. CoRR Xinyu Liu, Jie Shen, Xiangxiong Zhang
2023	J	`jnl`	A simple and efficient convex optimization based bound-preserving high order accurate limiter for Cahn-Hilliard-Navier-Stokes system. CoRR Chen Liu, Beatrice Riviere, Jie Shen, Xiangxiong Zhang
2023	J	`jnl`	An Efficient and Robust Scalar Auxialiary Variable Based Algorithm for Discrete Gradient Systems Arising from Optimizations. SIAM J. Sci. Comput. Xinyu Liu, Jie Shen, Xiangxiong Zhang
2023	J	`jnl`	An efficient and robust SAV based algorithm for discrete gradient systems arising from optimizations. CoRR Xinyu Liu, Jie Shen, Xiangxiong Zhang
2023	J	`jnl`	On the convergence of Sobolev gradient flow for the Gross-Pitaevskii eigenvalue problem. CoRR Ziang Chen, Jianfeng Lu, Yulong Lu, Xiangxiong Zhang
2023	J	`jnl`	On the convergence of orthogonalization-free conjugate gradient method for extreme eigenvalues of Hermitian matrices: a Riemannian optimization interpretation. CoRR Shixin Zheng, Haizhao Yang, Xiangxiong Zhang
2023	J	`jnl`	On the monotonicity of Q CoRR Logan J. Cross, Xiangxiong Zhang
2023	J	`jnl`	Riemannian Langevin Monte Carlo schemes for sampling PSD matrices with fixed rank. CoRR Tianmin Yu, Shixin Zheng, Jianfeng Lu, Govind Menon, Xiangxiong Zhang
2022	J	`jnl`	Accuracy of Spectral Element Method for Wave, Parabolic, and Schrödinger Equations. SIAM J. Numer. Anal. Hao Li, Daniel Appelö, Xiangxiong Zhang
2022	J	`jnl`	Positivity-preserving high order finite difference WENO schemes for compressible Navier-Stokes equations. J. Comput. Phys. Chuan Fan, Xiangxiong Zhang, Jianxian Qiu
2022	J	`jnl`	Riemannian optimization using three different metrics for Hermitian PSD fixed-rank constraints: an extended version. CoRR Shixin Zheng, Wen Huang, Bart Vandereycken, Xiangxiong Zhang
2022	J	`jnl`	Structure preserving schemes for Fokker-Planck equations of irreversible processes. CoRR Chen Liu, Yuan Gao, Xiangxiong Zhang
2021	J	`jnl`	A bound-preserving high order scheme for variable density incompressible Navier-Stokes equations. J. Comput. Phys. Maojun Li, Yongping Cheng, Jie Shen, Xiangxiong Zhang
2021	J	`jnl`	Accuracy of spectral element method for wave, parabolic and Schrödinger equations. CoRR Hao Li, Daniel Appelö, Xiangxiong Zhang
2021	J	`jnl`	Discrete Maximum principle of a high order finite difference scheme for a generalized Allen-Cahn equation. CoRR Jie Shen, Xiangxiong Zhang
2021	J	`jnl`	Positivity-preserving and energy-dissipative finite difference schemes for the Fokker-Planck and Keller-Segel equations. CoRR Jingwei Hu, Xiangxiong Zhang
2021	J	`jnl`	Positivity-preserving high order finite volume hybrid Hermite WENO schemes for compressible Navier-Stokes equations. J. Comput. Phys. Chuan Fan, Xiangxiong Zhang, Jianxian Qiu
2020	J	`jnl`	On the monotonicity and discrete maximum principle of the finite difference implementation of \(C^0\) - \(Q^2\) finite element method. Numerische Mathematik Hao Li, Xiangxiong Zhang
2020	J	`jnl`	On the monotonicity of high order discrete Laplacian. CoRR Logan J. Cross, Xiangxiong Zhang
2020	J	`jnl`	Superconvergence of C J. Sci. Comput. Hao Li, Xiangxiong Zhang
2020	J	`jnl`	Superconvergence of High Order Finite Difference Schemes Based on Variational Formulation for Elliptic Equations. J. Sci. Comput. Hao Li, Xiangxiong Zhang
2018	J	`jnl`	A High Order Accurate Bound-Preserving Compact Finite Difference Scheme for Scalar Convection Diffusion Equations. SIAM J. Numer. Anal. Hao Li, Shusen Xie, Xiangxiong Zhang
2018	J	`jnl`	A positivity-preserving high order discontinuous Galerkin scheme for convection-diffusion equations. J. Comput. Phys. Sashank Srinivasan, Jonathan Poggie, Xiangxiong Zhang
2018	J	`jnl`	Asymptotic-Preserving and Positivity-Preserving Implicit-Explicit Schemes for the Stiff BGK Equation. SIAM J. Numer. Anal. Jingwei Hu, Ruiwen Shu, Xiangxiong Zhang
2017	J	`jnl`	On a Class of Implicit-Explicit Runge-Kutta Schemes for Stiff Kinetic Equations Preserving the Navier-Stokes Limit. J. Sci. Comput. Jingwei Hu, Xiangxiong Zhang
2017	J	`jnl`	On positivity-preserving high order discontinuous Galerkin schemes for compressible Navier-Stokes equations. J. Comput. Phys. Xiangxiong Zhang
2017	J	`jnl`	Solving PhaseLift by Low-Rank Riemannian Optimization Methods for Complex Semidefinite Constraints. SIAM J. Sci. Comput. Wen Huang, Kyle A. Gallivan, Xiangxiong Zhang
2016	J	`jnl`	A curved boundary treatment for discontinuous Galerkin schemes solving time dependent problems. J. Comput. Phys. Xiangxiong Zhang
2016	J	`jnl`	Eventual linear convergence of the Douglas-Rachford iteration for basis pursuit. Math. Comput. Laurent Demanet, Xiangxiong Zhang
2016	J	`jnl`	Positivity-Preserving High Order Finite Volume HWENO Schemes for Compressible Euler Equations. J. Sci. Comput. Xiaofeng Cai, Xiangxiong Zhang, Jianxian Qiu
2016	Misc	`conf`	Solving PhaseLift by Low-rank Riemannian Optimization Methods. ICCS Wen Huang, Kyle A. Gallivan, Xiangxiong Zhang
2013	J	`jnl`	Eventual linear convergence of the Douglas Rachford iteration for basis pursuit CoRR Laurent Demanet, Xiangxiong Zhang
2013	J	`jnl`	Maximum-principle-satisfying second order discontinuous Galerkin schemes for convection-diffusion equations on triangular meshes. J. Comput. Phys. Yifan Zhang, Xiangxiong Zhang, Chi-Wang Shu
2013	J	`jnl`	Positivity-Preserving Well-Balanced Discontinuous Galerkin Methods for the Shallow Water Equations on Unstructured Triangular Meshes. J. Sci. Comput. Yulong Xing, Xiangxiong Zhang
2012	J	`jnl`	A minimum entropy principle of high order schemes for gas dynamics equations. Numerische Mathematik Xiangxiong Zhang, Chi-Wang Shu
2012	J	`jnl`	Maximum-Principle-Satisfying and Positivity-Preserving High Order Discontinuous Galerkin Schemes for Conservation Laws on Triangular Meshes. J. Sci. Comput. Xiangxiong Zhang, Yinhua Xia, Chi-Wang Shu
2012	J	`jnl`	Maximum-principle-satisfying High Order Finite Volume Weighted Essentially Nonoscillatory Schemes for Convection-diffusion Equations. SIAM J. Sci. Comput. Xiangxiong Zhang, Yuanyuan Liu, Chi-Wang Shu
2012	J	`jnl`	Positivity-preserving high order finite difference WENO schemes for compressible Euler equations. J. Comput. Phys. Xiangxiong Zhang, Chi-Wang Shu
2012	J	`jnl`	Robust high order discontinuous Galerkin schemes for two-dimensional gaseous detonations. J. Comput. Phys. Cheng Wang, Xiangxiong Zhang, Chi-Wang Shu, Jianguo Ning
2011	J	`jnl`	Positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations with source terms. J. Comput. Phys. Xiangxiong Zhang, Chi-Wang Shu
2010	J	`jnl`	A Genuinely High Order Total Variation Diminishing Scheme for One-Dimensional Scalar Conservation Laws. SIAM J. Numer. Anal. Xiangxiong Zhang, Chi-Wang Shu
2010	J	`jnl`	On maximum-principle-satisfying high order schemes for scalar conservation laws. J. Comput. Phys. Xiangxiong Zhang, Chi-Wang Shu
2010	J	`jnl`	On positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations on rectangular meshes. J. Comput. Phys. Xiangxiong Zhang, Chi-Wang Shu