Xiangxiong Zhang

Xiangxiong Zhang

Purdue University

H-index: 21

North America-United States

About Xiangxiong Zhang

Xiangxiong Zhang, With an exceptional h-index of 21 and a recent h-index of 19 (since 2020), a distinguished researcher at Purdue University, specializes in the field of Applied mathematics, numerical analysis, scientific computing.

His recent articles reflect a diverse array of research interests and contributions to the field:

Structure Preserving Schemes for Fokker–Planck Equations of Irreversible Processes

On the convergence of Sobolev gradient flow for the Gross–Pitaevskii eigenvalue problem

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

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

On enforcing non-negativity in polynomial approximations in high dimensions

A Positivity-Preserving and Well-Balanced High Order Compact Finite Difference Scheme for Shallow Water Equations

Kolmogorov’s dissipation number and determining wavenumber for dyadic models

On the convergence of orthogonalization-free conjugate gradient method for extreme eigenvalues of Hermitian matrices: a Riemannian optimization interpretation

Xiangxiong Zhang Information

University

Position

Math Dept

Citations(all)

3684

Citations(since 2020)

2023

Cited By

2390

hIndex(all)

21

hIndex(since 2020)

19

i10Index(all)

31

i10Index(since 2020)

30

Email

University Profile Page

Purdue University

Google Scholar

View Google Scholar Profile

Xiangxiong Zhang Skills & Research Interests

Applied mathematics

numerical analysis

scientific computing

Top articles of Xiangxiong Zhang

Title

Journal

Author(s)

Publication Date

Structure Preserving Schemes for Fokker–Planck Equations of Irreversible Processes

Mathematics and Computers in Simulation

Nadia Loy

Mattia Zanella

2021/10/1

On the convergence of Sobolev gradient flow for the Gross–Pitaevskii eigenvalue problem

SIAM Journal on Numerical Analysis

Ziang Chen

Jianfeng Lu

Yulong Lu

Xiangxiong Zhang

2024/4/30

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

Communications on Applied Mathematics and Computation

Hao Li

Xiangxiong Zhang

2024/3

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

arXiv preprint arXiv:2402.15645

Chen Liu

Xiangxiong Zhang

2024/2/23

On enforcing non-negativity in polynomial approximations in high dimensions

arXiv preprint arXiv:2401.12415

Yuan Chen

Dongbin Xiu

Xiangxiong Zhang

2024/1/23

A Positivity-Preserving and Well-Balanced High Order Compact Finite Difference Scheme for Shallow Water Equations

Communications in Computational Physics

Baifen Ren

Zhen Gao

Yaguang Gu

Xiangxiong Zhang

2024/6

Kolmogorov’s dissipation number and determining wavenumber for dyadic models

Nonlinearity

Mimi Dai

Margaret Hoeller

Qirui Peng

Xiangxiong Zhang

2024/1/17

On the convergence of orthogonalization-free conjugate gradient method for extreme eigenvalues of Hermitian matrices: a Riemannian optimization interpretation

arXiv preprint arXiv:2302.04974

Shixin Zheng

Haizhao Yang

Xiangxiong Zhang

2023/2/9

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

arXiv preprint arXiv:2310.00226

Xinyu Liu

Jie Shen

Xiangxiong Zhang

2023/9/30

Riemannian Langevin Monte Carlo schemes for sampling PSD matrices with fixed rank

arXiv preprint arXiv:2309.04072

Tianmin Yu

Shixin Zheng

Jianfeng Lu

Govind Menon

Xiangxiong Zhang

2023/9/8

An efficient and robust SAV based algorithm for discrete gradient systems arising from optimizations

arXiv preprint arXiv:2301.02942

Xinyu Liu

Jie Shen

Xiaongxiong Zhang

2023/1/7

A positivity-preserving implicit-explicit scheme with high order polynomial basis for compressible Navier–Stokes equations

Journal of Computational Physics

Chen Liu

Xiangxiong Zhang

2023/11/15

1D Model for the 3D Magnetohydrodynamics

Journal of Nonlinear Science

Mimi Dai

Bhakti Vyas

Xiangxiong Zhang

2023/10

An Efficient and Robust Scalar Auxialiary Variable Based Algorithm for Discrete Gradient Systems Arising from Optimizations

SIAM Journal on Scientific Computing

Xinyu Liu

Jie Shen

Xiangxiong Zhang

2023/10/31

A simple and efficient convex optimization based bound-preserving high order accurate limiter for Cahn-Hilliard-Navier-Stokes system

arXiv preprint arXiv:2307.09726

Chen Liu

Beatrice Riviere

Jie Shen

Xiangxiong Zhang

2023/7/19

A monotone finite element method for anisotropic elliptic equations

arXiv preprint arXiv:2310.16274

Hao Li

Xiangxiong Zhang

2023/10/25

Positivity-preserving and energy-dissipative finite difference schemes for the Fokker–Planck and Keller–Segel equations

IMA Journal of Numerical Analysis

Jingwei Hu

Xiangxiong Zhang

2023/5

On the monotonicity of spectral element method for Laplacian on quasi-uniform rectangular meshes

arXiv preprint arXiv:2310.15341

Logan J Cross

Xiangxiong Zhang

2023/10/23

Positivity-preserving high order finite difference WENO schemes for compressible Navier-Stokes equations

Journal of Computational Physics

Chuan Fan

Xiangxiong Zhang

Jianxian Qiu

2022/10/15

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

arXiv preprint arXiv:2204.07830

Shixin Zheng

Wen Huang

Bart Vandereycken

Xiangxiong Zhang

2022/4/16

See List of Professors in Xiangxiong Zhang University(Purdue University)

Co-Authors

H-index: 111
Chi-Wang Shu

Chi-Wang Shu

Brown University

H-index: 76
Jie Shen

Jie Shen

Purdue University

H-index: 52
Lexing Ying

Lexing Ying

Stanford University

H-index: 35
Jianxian Qiu

Jianxian Qiu

Xiamen University

H-index: 27
Jonathan Poggie

Jonathan Poggie

Purdue University

H-index: 20
Jingwei Hu

Jingwei Hu

Purdue University

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