2026 Yuan Xu: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	43	1678	1451	724	581	276	9203

Discipline name

D-Index

World Ranking

Current World Ranking

National Ranking

Current National Ranking

Publications

Citations

Mathematics

1678

1451

724

581

276

9203

Overview

Yuan Xu is affiliated with the University of Oregon in the United States and has a significant research presence in the field of Mathematics, with a focus on Applied Mathematics and Numerical Analysis. Their scholarly output includes numerous papers centered on orthogonal polynomials, numerical methods for differential equations, and advanced analysis techniques.

Their recent publications include:

Orthogonal Polynomials and Fourier Orthogonal Series on a Cone (2020), Journal of Fourier Analysis and Applications
Orthogonal structure and orthogonal series in and on a double cone or a hyperboloid (2020), Transactions of the American Mathematical Society

Yuan Xu frequently collaborates with several researchers, including:

Sheehan Olver
Jean B. Lasserre
Hai-Wei Sun
Marco Fasondini
Siu-Long Lei

Their work appears in prominent publication venues, such as:

arXiv (Cornell University)
Journal of Approximation Theory
Journal of Fourier Analysis and Applications
IMA Journal of Numerical Analysis
Transactions of the American Mathematical Society

Yuan Xu's main fields of study encompass 75 publications in Mathematics, with particular emphasis on:

Applied Mathematics
Numerical Analysis
Computational Theory and Mathematics
Computational Mechanics
Modeling and Simulation

The primary research topics investigated include:

Mathematical functions and polynomials
Mathematical Analysis and Transform Methods
Iterative Methods for Nonlinear Equations
Algebraic and Geometric Analysis
Fractional Differential Equations Solutions
Numerical methods for differential equations
Advanced Numerical Analysis Techniques

This profile reflects their academic focus on developing and applying mathematical and computational techniques, particularly related to orthogonal structures and polynomial systems on various geometric domains.

Best Publications

Orthogonal Polynomials of Several Variables

Charles F. Dunkl;Yuan Xu

1650
Citations
Approximation Theory and Harmonic Analysis on Spheres and Balls

Feng Dai;Yuan Xu

536
Citations
Convolution operator and maximal function for the Dunkl transform

Sundaram Thangavelu;Yuan Xu

300
Citations
On multivariate Lagrange interpolation

Thomas Sauer;Yuan Xu

264
Citations
On Sobolev orthogonal polynomials

Francisco Marcellán;Yuan Xu

200
Citations
Strictly positive definite functions on spheres

Yuan Xu;E. W. Cheney

172
Citations
Bivariate Lagrange interpolation at the Padua points: The generating curve approach

Len Bos;Marco Caliari;Stefano De Marchi;Marco Vianello

171
Citations
Orthogonal Polynomials of Several Variables: Preface

Charles F. Dunkl;Yuan Xu

164
Citations
Orthogonal polynomials of several variables

Yuan Xu

136
Citations
Summability of Fourier orthogonal series for Jacobi weight on a ball in ℝ

Yuan Xu

129
Citations
Riesz transform and Riesz potentials for Dunkl transform

Sundaram Thangavelu;Yuan Xu

127
Citations
On multivariate orthogonal polynomials

Yuan Xu

106
Citations
Orthogonal Polynomials for a Family of Product Weight Functions on the Spheres

Yuan Xu

100
Citations
Lagrange Interpolation on Chebyshev Points of Two Variables

Yuan Xu

95
Citations
Weighted Approximation of Functions on the Unit Sphere

Yuan Xu

88
Citations
Discrete Fourier Analysis, Cubature, and Interpolation on a Hexagon and a Triangle

Huiyuan Li;Jiachang Sun;Yuan Xu

88
Citations
The heat kernel transform for the Heisenberg group

Bernhard Krötz;Sundaram Thangavelu;Yuan Xu

86
Citations
Common zeros of polynomials in several variables and higher dimensional quadrature

Yuan Xu

85
Citations
Localized polynomial frames on the ball

Pencho Petrushev;Yuan Xu

81
Citations
Integration of the intertwining operator for $h$-harmonic polynomials associated to reflection groups

Yuan Xu

81
Citations

Frequent Co-Authors

Gerard Kerkyacharian Université Paris Cité

Francisco Marcellán Carlos III University of Madrid

Christian Krattenthaler University of Vienna

Martin Hrabé de Angelis Technical University of Munich

Jeffrey S. Geronimo Georgia Institute of Technology

External Links

Personal website of Yuan Xu Google Scholar page

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