Shuhuang Xiang

Shuhuang Xiang

Central South University

H-index: 25

Asia-China

About Shuhuang Xiang

Shuhuang Xiang, With an exceptional h-index of 25 and a recent h-index of 19 (since 2020), a distinguished researcher at Central South University, specializes in the field of highly oscillatory problem, computation, orthogonal polynomial approximation.

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

Optimal pointwise error estimates for piecewise functions expanded with Laguerre polynomials

Polynomial and rational interpolation: potential, barycentric weights, and Lebesgue constants

The root-exponential convergence of lightning plus polynomial approximation on corner domains

On optimal convergence rates of Laguerre polynomial expansions for piecewise functions

Fast barycentric rational interpolations for complex functions with some singularities

Exact penalization for cardinality and rank-constrained optimization problems via partial regularization

Asymptotics on the Fredholm integral equation with a highly oscillatory and weakly singular kernel

An efficient numerical method for Volterra integral equation of the second kind with a weakly singular kernel

Shuhuang Xiang Information

University

Position

Professor of Computational Mathematics

Citations(all)

2266

Citations(since 2020)

1210

Cited By

1584

hIndex(all)

25

hIndex(since 2020)

19

i10Index(all)

60

i10Index(since 2020)

43

Email

University Profile Page

Central South University

Google Scholar

View Google Scholar Profile

Shuhuang Xiang Skills & Research Interests

highly oscillatory problem

computation

orthogonal polynomial approximation

Top articles of Shuhuang Xiang

Title

Journal

Author(s)

Publication Date

Optimal pointwise error estimates for piecewise functions expanded with Laguerre polynomials

Journal of Computational and Applied Mathematics

Yali Zhang

Shuhuang Xiang

Desong Kong

2024/6/1

Polynomial and rational interpolation: potential, barycentric weights, and Lebesgue constants

arXiv preprint arXiv:2401.12664

Kelong Zhao

Shuhuang Xiang

2024/1/23

The root-exponential convergence of lightning plus polynomial approximation on corner domains

arXiv preprint arXiv:2401.03659

Shuhuang Xiang

Shunfeng Yang

2024/1/8

On optimal convergence rates of Laguerre polynomial expansions for piecewise functions

Journal of Computational and Applied Mathematics

Yali Zhang

Shuhuang Xiang

Desong Kong

2023/6/1

Fast barycentric rational interpolations for complex functions with some singularities

Calcolo

Shunfeng Yang

Shuhuang Xiang

2023/11

Exact penalization for cardinality and rank-constrained optimization problems via partial regularization

Optimization Methods and Software

Zhaosong Lu

Xiaorui Li

Shuhuang Xiang

2023/3/4

Asymptotics on the Fredholm integral equation with a highly oscillatory and weakly singular kernel

Applied Mathematics and Computation

Shuhuang Xiang

Qingyang Zhang

2023/11/1

An efficient numerical method for Volterra integral equation of the second kind with a weakly singular kernel

Journal of Computational and Applied Mathematics

Desong Kong

Shuhuang Xiang

Hongyu Wu

2023/8/1

A kernel-independent uniform fast multipole method based on barycentric rational interpolation

Numerical Algorithms

Jiangli Liang

Shuhuang Xiang

2023/8

Pointwise error estimates and local superconvergence of Jacobi expansions

Mathematics of Computation

Shuhuang Xiang

Desong Kong

Guidong Liu

Li-Lian Wang

2023/2/12

On the best convergence rate of lightning plus polynomial approximation for

arXiv preprint arXiv:2312.16116

Shuhuang Xiang

Shunfeng Yang

Yanghao Wu

2023/12/26

A fast multipole method for Fredholm integral equations of the second kind with general kernel K (x, y)= K (x− y)

Computers & Mathematics with Applications

Jiangli Liang

Shuhuang Xiang

2022/7/15

Fast and stable augmented Levin methods for highly oscillatory and singular integrals

Mathematics of Computation

Yinkun Wang

Shuhuang Xiang

2022/7

Levin methods for highly oscillatory integrals with singularities

Science China Mathematics

Yinkun Wang

Shuhuang Xiang

2022/3/1

Eigenvalue Analysis and Applications of the Legendre Dual-Petrov-Galerkin Methods for Initial Value Problems

arXiv preprint arXiv:2211.10599

Desong Kong

Jie Shen

Li-Lian Wang

Shuhuang Xiang

2022/11/19

Extended barycentric rational schemes for functions of singularities

Calcolo

Desong Kong

Shuhuang Xiang

Li Li

Ran Li

2022/11

Sparse solutions of a class of constrained optimization problems

Mathematics of Operations Research

Lei Yang

Xiaojun Chen

Shuhuang Xiang

2022/8

Convergence rates on spectral orthogonal projection approximation for functions of algebraic and logarithmatic regularities

SIAM Journal on Numerical Analysis

Shuhuang Xiang

2021

A new constraint preconditioner based on the PGSS iteration method for non-Hermitian generalized saddle point problems

Applied Mathematics and Computation

Hongyu Wu

Shuhuang Xiang

2021/5/1

Fast linear barycentric rational interpolation for singular functions via scaled transformations

arXiv preprint arXiv:2101.07949

Desong Kong

Shuhuang Xiang

2021/1/20

See List of Professors in Shuhuang Xiang University(Central South University)

Co-Authors

H-index: 15
Haiyong Wang

Haiyong Wang

Huazhong University of Science and Technology

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