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Xiangxiong Zhang
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2020 – today
- 2024
- [j36]Baifen Ren, Bao-Shan Wang, Xiangxiong Zhang, Zhen Gao:
Positivity and bound preserving well-balanced high order compact finite difference scheme for Ripa and pollutant transport model. Comput. Math. Appl. 176: 545-563 (2024) - [j35]Shixin Zheng, Haizhao Yang, Xiangxiong Zhang
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On the convergence of orthogonalization-free conjugate gradient method for extreme eigenvalues of Hermitian matrices: A Riemannian optimization interpretation. J. Comput. Appl. Math. 451: 116053 (2024) - [j34]Chen Liu, Gregery T. Buzzard, Xiangxiong Zhang
An optimization based limiter for enforcing positivity in a semi-implicit discontinuous Galerkin scheme for compressible Navier-Stokes equations. J. Comput. Phys. 519: 113440 (2024) - [j33]Chen Liu
Structure Preserving Schemes for Fokker-Planck Equations of Irreversible Processes. J. Sci. Comput. 98(1): 4 (2024) - [j32]Ziang Chen
On the Convergence of Sobolev Gradient Flow for the Gross-Pitaevskii Eigenvalue Problem. SIAM J. Numer. Anal. 62(2): 667-691 (2024) - [j31]Chen Liu
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): 1923- (2024) - [i22]Yuan Chen
On enforcing non-negativity in polynomial approximations in high dimensions. CoRR abs/2401.12415 (2024) - [i21]Chen Liu, Xiangxiong Zhang:
An optimization based limiter for enforcing positivity in a semi-implicit discontinuous Galerkin scheme for compressible Navier-Stokes equations. CoRR abs/2402.15645 (2024) - [i20]Ziang Chen, Jianfeng Lu, Yulong Lu, Xiangxiong Zhang:
Fully discretized Sobolev gradient flow for the Gross-Pitaevskii eigenvalue problem. CoRR abs/2403.06028 (2024) - [i19]Chen Liu, Jingwei Hu, William T. Taitano, Xiangxiong Zhang:
An optimization-based positivity-preserving limiter in semi-implicit discontinuous Galerkin schemes solving Fokker-Planck equations. CoRR abs/2410.19143 (2024) - 2023
- [j30]Chen Liu
A positivity-preserving implicit-explicit scheme with high order polynomial basis for compressible Navier-Stokes equations. J. Comput. Phys. 493: 112496 (2023) - [j29]Mimi Dai
1D Model for the 3D Magnetohydrodynamics. J. Nonlinear Sci. 33(5): 87 (2023) - [j28]Xinyu Liu, Jie Shen
An Efficient and Robust Scalar Auxialiary Variable Based Algorithm for Discrete Gradient Systems Arising from Optimizations. SIAM J. Sci. Comput. 45(5): 2304- (2023) - [i18]Xinyu Liu, Jie Shen, Xiangxiong Zhang:
An efficient and robust SAV based algorithm for discrete gradient systems arising from optimizations. CoRR abs/2301.02942 (2023) - [i17]Ziang Chen, Jianfeng Lu, Yulong Lu
On the convergence of Sobolev gradient flow for the Gross-Pitaevskii eigenvalue problem. CoRR abs/2301.09818 (2023) - [i16]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 abs/2302.04974 (2023) - [i15]Chen Liu, Xiangxiong Zhang:
A positivity-preserving implicit-explicit scheme with high order polynomial basis for compressible Navier-Stokes equations. CoRR abs/2305.05769 (2023) - [i14]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 abs/2307.09726 (2023) - [i13]Tianmin Yu, Shixin Zheng, Jianfeng Lu, Govind Menon, Xiangxiong Zhang:
Riemannian Langevin Monte Carlo schemes for sampling PSD matrices with fixed rank. CoRR abs/2309.04072 (2023) - [i12]Xinyu Liu, Jie Shen, Xiangxiong Zhang:
A simple GPU implementation of spectral-element methods for solving 3D Poisson type equations on cartesian meshes. CoRR abs/2310.00226 (2023) - [i11]Logan J. Cross, Xiangxiong Zhang:
On the monotonicity of Q2 spectral element method for Laplacian on quasi-uniform rectangular meshes. CoRR abs/2310.15341 (2023) - [i10]Hao Li, Shusen Xie, Xiangxiong Zhang:
A high order accurate bound-preserving compact finite difference scheme for scalar convection diffusion equations. CoRR abs/2310.16170 (2023) - [i9]Hao Li, Xiangxiong Zhang:
A high order accurate bound-preserving compact finite difference scheme for two-dimensional incompressible flow. CoRR abs/2310.16171 (2023) - [i8]Hao Li, Xiangxiong Zhang:
A monotone Q1 finite element method for anisotropic elliptic equations. CoRR abs/2310.16274 (2023) - 2022
- [j27]Chuan Fan, Xiangxiong Zhang
Positivity-preserving high order finite difference WENO schemes for compressible Navier-Stokes equations. J. Comput. Phys. 467: 111446 (2022) - [j26]Hao Li, Daniel Appelö, Xiangxiong Zhang
Accuracy of Spectral Element Method for Wave, Parabolic, and Schrödinger Equations. SIAM J. Numer. Anal. 60(1): 339-363 (2022) - [i7]Shixin Zheng, Wen Huang, Bart Vandereycken, Xiangxiong Zhang:
Riemannian optimization using three different metrics for Hermitian PSD fixed-rank constraints: an extended version. CoRR abs/2204.07830 (2022) - [i6]Chen Liu, Yuan Gao, Xiangxiong Zhang:
Structure preserving schemes for Fokker-Planck equations of irreversible processes. CoRR abs/2210.16628 (2022) - 2021
- [j25]Maojun Li, Yongping Cheng, Jie Shen
A bound-preserving high order scheme for variable density incompressible Navier-Stokes equations. J. Comput. Phys. 425: 109906 (2021) - [j24]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: 110596 (2021) - [i5]Hao Li, Daniel Appelö, Xiangxiong Zhang:
Accuracy of spectral element method for wave, parabolic and Schrödinger equations. CoRR abs/2103.00400 (2021) - [i4]Jingwei Hu, Xiangxiong Zhang:
Positivity-preserving and energy-dissipative finite difference schemes for the Fokker-Planck and Keller-Segel equations. CoRR abs/2103.16790 (2021) - [i3]Jie Shen, Xiangxiong Zhang:
Discrete Maximum principle of a high order finite difference scheme for a generalized Allen-Cahn equation. CoRR abs/2104.11813 (2021) - 2020
- [j23]Hao Li, Xiangxiong Zhang
Superconvergence of C0-Qk Finite Element Method for Elliptic Equations with Approximated Coefficients. J. Sci. Comput. 82(1): 1 (2020) - [j22]Hao Li, Xiangxiong Zhang
Superconvergence of High Order Finite Difference Schemes Based on Variational Formulation for Elliptic Equations. J. Sci. Comput. 82(2): 36 (2020) - [j21]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): 437-472 (2020) - [i2]Logan J. Cross, Xiangxiong Zhang:
On the monotonicity of high order discrete Laplacian. CoRR abs/2010.07282 (2020)
2010 – 2019
- 2018
- [j20]Sashank Srinivasan
A positivity-preserving high order discontinuous Galerkin scheme for convection-diffusion equations. J. Comput. Phys. 366: 120-143 (2018) - [j19]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): 942-973 (2018) - [j18]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): 3308-3345 (2018) - 2017
- [j17]Xiangxiong Zhang
On positivity-preserving high order discontinuous Galerkin schemes for compressible Navier-Stokes equations. J. Comput. Phys. 328: 301-343 (2017) - [j16]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): 797-818 (2017) - [j15]Wen Huang
Solving PhaseLift by Low-Rank Riemannian Optimization Methods for Complex Semidefinite Constraints. SIAM J. Sci. Comput. 39(5) (2017) - 2016
- [j14]Xiangxiong Zhang
A curved boundary treatment for discontinuous Galerkin schemes solving time dependent problems. J. Comput. Phys. 308: 153-170 (2016) - [j13]Xiaofeng Cai, Xiangxiong Zhang
Positivity-Preserving High Order Finite Volume HWENO Schemes for Compressible Euler Equations. J. Sci. Comput. 68(2): 464-483 (2016) - [j12]Laurent Demanet, Xiangxiong Zhang
Eventual linear convergence of the Douglas-Rachford iteration for basis pursuit. Math. Comput. 85(297): 209-238 (2016) - [c1]Wen Huang
Solving PhaseLift by Low-rank Riemannian Optimization Methods. ICCS 2016: 1125-1134 - 2013
- [j11]Yifan Zhang, Xiangxiong Zhang
Maximum-principle-satisfying second order discontinuous Galerkin schemes for convection-diffusion equations on triangular meshes. J. Comput. Phys. 234: 295-316 (2013) - [j10]Yulong Xing
Positivity-Preserving Well-Balanced Discontinuous Galerkin Methods for the Shallow Water Equations on Unstructured Triangular Meshes. J. Sci. Comput. 57(1): 19-41 (2013) - [i1]Laurent Demanet, Xiangxiong Zhang:
Eventual linear convergence of the Douglas Rachford iteration for basis pursuit. CoRR abs/1301.0542 (2013) - 2012
- [j9]Cheng Wang, Xiangxiong Zhang
Robust high order discontinuous Galerkin schemes for two-dimensional gaseous detonations. J. Comput. Phys. 231(2): 653-665 (2012) - [j8]Xiangxiong Zhang
Positivity-preserving high order finite difference WENO schemes for compressible Euler equations. J. Comput. Phys. 231(5): 2245-2258 (2012) - [j7]Xiangxiong Zhang
Maximum-Principle-Satisfying and Positivity-Preserving High Order Discontinuous Galerkin Schemes for Conservation Laws on Triangular Meshes. J. Sci. Comput. 50(1): 29-62 (2012) - [j6]Xiangxiong Zhang
A minimum entropy principle of high order schemes for gas dynamics equations. Numerische Mathematik 121(3): 545-563 (2012) - [j5]Xiangxiong Zhang
Maximum-principle-satisfying High Order Finite Volume Weighted Essentially Nonoscillatory Schemes for Convection-diffusion Equations. SIAM J. Sci. Comput. 34(2) (2012) - 2011
- [j4]Xiangxiong Zhang
Positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations with source terms. J. Comput. Phys. 230(4): 1238-1248 (2011) - 2010
- [j3]Xiangxiong Zhang
On maximum-principle-satisfying high order schemes for scalar conservation laws. J. Comput. Phys. 229(9): 3091-3120 (2010) - [j2]Xiangxiong Zhang
On positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations on rectangular meshes. J. Comput. Phys. 229(23): 8918-8934 (2010) - [j1]Xiangxiong Zhang
A Genuinely High Order Total Variation Diminishing Scheme for One-Dimensional Scalar Conservation Laws. SIAM J. Numer. Anal. 48(2): 772-795 (2010)
Coauthor Index
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