Xiangxiong Zhang

Orcid: 0000-0002-1090-7189

According to our database1, Xiangxiong Zhang authored at least 49 papers between 2010 and 2024.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

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Bibliography

2024
Structure Preserving Schemes for Fokker-Planck Equations of Irreversible Processes.
J. Sci. Comput., January, 2024

A Simple and Efficient Convex Optimization Based Bound-Preserving High Order Accurate Limiter for Cahn-Hilliard-Navier-Stokes System.
SIAM J. Sci. Comput., 2024

On the Convergence of Sobolev Gradient Flow for the Gross-Pitaevskii Eigenvalue Problem.
SIAM J. Numer. Anal., 2024

An optimization based limiter for enforcing positivity in a semi-implicit discontinuous Galerkin scheme for compressible Navier-Stokes equations.
J. Comput. Phys., 2024

On the convergence of orthogonalization-free conjugate gradient method for extreme eigenvalues of Hermitian matrices: A Riemannian optimization interpretation.
J. Comput. Appl. Math., 2024

Fully discretized Sobolev gradient flow for the Gross-Pitaevskii eigenvalue problem.
CoRR, 2024

An optimization based limiter for enforcing positivity in a semi-implicit discontinuous Galerkin scheme for compressible Navier-Stokes equations.
CoRR, 2024

On enforcing non-negativity in polynomial approximations in high dimensions.
CoRR, 2024

2023
A positivity-preserving implicit-explicit scheme with high order polynomial basis for compressible Navier-Stokes equations.
J. Comput. Phys., November, 2023

An Efficient and Robust Scalar Auxialiary Variable Based Algorithm for Discrete Gradient Systems Arising from Optimizations.
SIAM J. Sci. Comput., October, 2023

1D Model for the 3D Magnetohydrodynamics.
J. Nonlinear Sci., October, 2023

A monotone Q<sup>1</sup> finite element method for anisotropic elliptic equations.
CoRR, 2023

A high order accurate bound-preserving compact finite difference scheme for two-dimensional incompressible flow.
CoRR, 2023

On the monotonicity of Q<sup>2</sup> spectral element method for Laplacian on quasi-uniform rectangular meshes.
CoRR, 2023

A simple GPU implementation of spectral-element methods for solving 3D Poisson type equations on cartesian meshes.
CoRR, 2023

Riemannian Langevin Monte Carlo schemes for sampling PSD matrices with fixed rank.
CoRR, 2023

An efficient and robust SAV based algorithm for discrete gradient systems arising from optimizations.
CoRR, 2023

2022
Accuracy of Spectral Element Method for Wave, Parabolic, and Schrödinger Equations.
SIAM J. Numer. Anal., 2022

Positivity-preserving high order finite difference WENO schemes for compressible Navier-Stokes equations.
J. Comput. Phys., 2022

Riemannian optimization using three different metrics for Hermitian PSD fixed-rank constraints: an extended version.
CoRR, 2022

2021
A bound-preserving high order scheme for variable density incompressible Navier-Stokes equations.
J. Comput. Phys., 2021

Positivity-preserving high order finite volume hybrid Hermite WENO schemes for compressible Navier-Stokes equations.
J. Comput. Phys., 2021

Discrete Maximum principle of a high order finite difference scheme for a generalized Allen-Cahn equation.
CoRR, 2021

Positivity-preserving and energy-dissipative finite difference schemes for the Fokker-Planck and Keller-Segel equations.
CoRR, 2021

2020
On the monotonicity and discrete maximum principle of the finite difference implementation of \(C^0\) - \(Q^2\) finite element method.
Numerische Mathematik, 2020

Superconvergence of High Order Finite Difference Schemes Based on Variational Formulation for Elliptic Equations.
J. Sci. Comput., 2020

Superconvergence of C<sup>0</sup>-Q<sup>k</sup> Finite Element Method for Elliptic Equations with Approximated Coefficients.
J. Sci. Comput., 2020

On the monotonicity of high order discrete Laplacian.
CoRR, 2020

2018
A High Order Accurate Bound-Preserving Compact Finite Difference Scheme for Scalar Convection Diffusion Equations.
SIAM J. Numer. Anal., 2018

Asymptotic-Preserving and Positivity-Preserving Implicit-Explicit Schemes for the Stiff BGK Equation.
SIAM J. Numer. Anal., 2018

A positivity-preserving high order discontinuous Galerkin scheme for convection-diffusion equations.
J. Comput. Phys., 2018

2017
Solving PhaseLift by Low-Rank Riemannian Optimization Methods for Complex Semidefinite Constraints.
SIAM J. Sci. Comput., 2017

On a Class of Implicit-Explicit Runge-Kutta Schemes for Stiff Kinetic Equations Preserving the Navier-Stokes Limit.
J. Sci. Comput., 2017

On positivity-preserving high order discontinuous Galerkin schemes for compressible Navier-Stokes equations.
J. Comput. Phys., 2017

2016
Eventual linear convergence of the Douglas-Rachford iteration for basis pursuit.
Math. Comput., 2016

Positivity-Preserving High Order Finite Volume HWENO Schemes for Compressible Euler Equations.
J. Sci. Comput., 2016

A curved boundary treatment for discontinuous Galerkin schemes solving time dependent problems.
J. Comput. Phys., 2016

Solving PhaseLift by Low-rank Riemannian Optimization Methods.
Proceedings of the International Conference on Computational Science 2016, 2016

2013
Positivity-Preserving Well-Balanced Discontinuous Galerkin Methods for the Shallow Water Equations on Unstructured Triangular Meshes.
J. Sci. Comput., 2013

Maximum-principle-satisfying second order discontinuous Galerkin schemes for convection-diffusion equations on triangular meshes.
J. Comput. Phys., 2013

2012
Maximum-principle-satisfying High Order Finite Volume Weighted Essentially Nonoscillatory Schemes for Convection-diffusion Equations.
SIAM J. Sci. Comput., 2012

A minimum entropy principle of high order schemes for gas dynamics equations.
Numerische Mathematik, 2012

Maximum-Principle-Satisfying and Positivity-Preserving High Order Discontinuous Galerkin Schemes for Conservation Laws on Triangular Meshes.
J. Sci. Comput., 2012

Positivity-preserving high order finite difference WENO schemes for compressible Euler equations.
J. Comput. Phys., 2012

Robust high order discontinuous Galerkin schemes for two-dimensional gaseous detonations.
J. Comput. Phys., 2012

2011
Positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations with source terms.
J. Comput. Phys., 2011

2010
A Genuinely High Order Total Variation Diminishing Scheme for One-Dimensional Scalar Conservation Laws.
SIAM J. Numer. Anal., 2010

On positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations on rectangular meshes.
J. Comput. Phys., 2010

On maximum-principle-satisfying high order schemes for scalar conservation laws.
J. Comput. Phys., 2010


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