Xiangxiong Zhang

1. On positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations on rectangular meshes
   2010/08/19 by Xiangxiong Zhang, Chi‐Wang Shu, Chi-Wang Shu · 43 citations
   Engineering · Mathematics · #Computational Fluid Dynamics and Aerodynamics #Advanced Numerical Methods in Computational Mathematics #Numerical methods for differential equations
2. Positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations with source terms
   2010/11/13 by Xiangxiong Zhang, Chi‐Wang Shu, Chi-Wang Shu · 13 citations
   Engineering · Mathematics · #Computational Fluid Dynamics and Aerodynamics #Gas Dynamics and Kinetic Theory #Advanced Numerical Methods in Computational Mathematics
3. On positivity-preserving high order discontinuous Galerkin schemes for compressible Navier–Stokes equations
   2016/10/16 by Xiangxiong Zhang · 11 citations
   Engineering · #Computational Fluid Dynamics and Aerodynamics #Advanced Numerical Methods in Computational Mathematics #Fluid Dynamics and Turbulent Flows
4. Eventual linear convergence of the Douglas Rachford iteration for basis\n pursuit
   2013/01/03 by Laurent Demanet, Xiangxiong Zhang, Demanet, Laurent +1 · 4 citations
   Engineering · Mathematics · #FOS: Computer and information sciences #FOS: Mathematics #Gas Dynamics and Kinetic Theory #Information Theory (cs.IT) #Numerical Analysis (math.NA) #Numerical methods in inverse problems #Optimization and Control (math.OC) #Sparse and Compressive Sensing Techniques
5. A simple GPU implementation of spectral-element methods for solving 3D Poisson type equations on rectangular domains and its applications
   2023/09/30 by Xinyu Liu, Liu, Xinyu, Jie Shen +3 · 2 citations
   Computer Science · Engineering · Physics and Astronomy · #Advanced Numerical Methods in Computational Mathematics #Contact Mechanics and Variational Inequalities #Distributed #Electromagnetic Scattering and Analysis #FOS: Computer and information sciences #FOS: Mathematics #Numerical Analysis (math.NA) #Parallel #and Cluster Computing (cs.DC)
6. Fully discretized Sobolev gradient flow for the Gross-Pitaevskii eigenvalue problem
   2024/03/09 by Ziang Chen, Chen, Ziang, Jianfeng Lu +5 · 2 citations
   Mathematics · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Differential Equations and Numerical Methods #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods for differential equations #Optimization and Control (math.OC)
7. On enforcing non-negativity in polynomial approximations in high dimensions
   2024/01/23 by Yuan Chen, Chen, Yuan, Dongbin Xiu +3 · 2 citations
   Mathematics · Computer Science · #Advanced Optimization Algorithms Research #Numerical Methods and Algorithms #Matrix Theory and Algorithms
8. A Three-Operator Splitting Scheme Derived from Three-Block ADMM
   2024/10/31 by Anshika Anshika, Anshika, Anshika, Debdas Ghosh +4 · 2 citations
   Computer Science · Engineering · #Matrix Theory and Algorithms #Photonic and Optical Devices
9. Asymptotic Linear Convergence of ADMM for Isotropic TV Norm Compressed Sensing
   2025/05/02 by Matt Jacobs, Torres, Emmanuel Gil, Xiangxiong Zhang +2 · 2 citations
   Engineering · Computer Science · #Sparse and Compressive Sensing Techniques #Photoacoustic and Ultrasonic Imaging #Image and Signal Denoising Methods
10. A bound-preserving Runge--Kutta discontinuous Galerkin method with compact stencils for hyperbolic conservation laws
    2024/12/20 by Chen Liu, Zheng Sun, Liu, Chen +3 · 2 citations
    Earth and Planetary Sciences · Engineering · #65M60 #Advanced Numerical Methods in Computational Mathematics #Computational Fluid Dynamics and Aerodynamics #FOS: Mathematics #Meteorological Phenomena and Simulations #Numerical Analysis (math.NA)
11. High Order Numerical Methods Preserving Invariant Domain for Hyperbolic and Related Systems
    2025/12/09 by Kailiang Wu, Wu, Kailiang, Xiangxiong Zhang +3 · 1 citation
    Engineering · #35L65 #65M06 #65M08 #65M12 #65M60 #76N15 #Advanced Numerical Methods in Computational Mathematics #Computational Fluid Dynamics and Aerodynamics #Computational Physics (physics.comp-ph) #Electromagnetic Simulation and Numerical Methods #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Instrumentation and Methods for Astrophysics (astro-ph.IM) #Numerical Analysis (math.NA)
12. Exact Total Variation Minimizers as Non-Oscillatory Limiters in High-Order Methods for Conservation Laws
    2026/07/29 by Gabriel P. Langlois, Jerome Darbon, Rongjie Lai +2
    Mathematics · Computer Science · #math.NA #cs.NA
13. Nonnegative Low-Rank Matrix Correction under an Orthogonality Constraint in Conservative Vlasov Simulations
    2026/07/28 by Yue Wu, Stephen Becker, Jingmei Qiu +1
    Computer Science · Mathematics · #cs.NA #math.NA #math.OC