Associate Professor, Master Supervisor

Address: No.5 Dongfeng Road, Zhengzhou University of Light Industry, Zhengzhou, Henan, China

E-mail: 2015062@zzuli.edu.cn

Websites:

https://www.researchgate.net/profile/Zhenhua_Xu5

Research Interests:

Asymptotic theoretical analysis and efficient numerical methods for high oscillatory problems

Educational Background:

201009--201506, Central South University, School of Mathematics and Statistics,Doctor;

200909--201007, Central South University, School of Mathematics and Statistics, Master;

200409--200807, Henan Polytechnic University, School of Mathematics and Information Science, Bachelor.

Teaching Courses:

Advanced mathematics, Linear algebra and space analytic geometry, Numerical analysis, Computational Methods

Publications:

[1]Zhenhua Xu, Guidong Liu *, Efficient computation of Cauchy principal value integrals with an irregular oscillator, Engineering Analysis with Boundary Elements, 2026, 190: 106848.

[2] Guidong Liu,Zhenhua Xu*, Asymptotic analysis and uniform approximation to the highly oscillatory finite-part integrals, Engineering Analysis with Boundary Elements, 2025, 179: 106409.

[3]Zhenhua Xu, Guidong Liu *, Efficient computation of highly oscillatory finite-part integrals, Journal of Mathematical Analysis and Applications, 2025, 541: 128668.

[4] Guidong Liu, Zhenhua Xu*, Fast computation of highly oscillatory Bessel transforms, Results in Applied Mathematics, 2024, 21: 100429.

[5]Zhenhua Xu, Zhanmei Lv*, Guidong Liu, Efficient numerical methods for hypersingular finite-part integrals with highly oscillatory integrands, Journal of Computational and Applied Mathematics, 2023, 433：115136.

[6]Zhenhua Xu*, Zhanmei Lv, Hongrui Geng, Efficient numerical methods for Cauchy principal value integrals with highly oscillatory integrands, Numerical Algorithms, 2022, 91:1287-1314.

[7] Hongrui Geng*, Zhaoran Wang,Zhenhua Xu, Radiation boundary conditions for numerical simulation of transmission problems in acoustics, IAENG International Journal of Applied Mathematics, 2022, 52 (1): 207-212.

[8] Hongchao Kang*, Chunzhi Xiang,Zhenhua Xu, Hong Wang, Efficient quadrature rules for the singularly oscillatory Bessel transforms and their error analysis, Numerical Algorithms, 2021, 88: 1493-1521.

[9]Zhenhua Xu*, Hongrui Geng, Chunhua Fang, Asymptotics and numerical approximation of highly oscillatory Hilbert transforms, Applied Mathematics and Computation, 2020, 386: 125525.

[10]Zhenhua Xu*, Chunhua Fang, Hongrui Geng, Fast computation of Bessel transform with highly oscillatory integrands, Applied Numerical Mathematics, 2019, 145: 121-132.

Fundings:

1. 202301-202412, Natural Science Foundation of Henan, 232300420118, PI.

2. 201701-201712, National Natural Science Foundation of China, 11626223, PI.

Honors:

Youth Core Teacher of Zhengzhou University of Light Industry

Professional Affiliations:

AMS Mathematical Reviews

Academic Activities:

 1. 11th National Annual Conference of Computational Mathematics, 2017.07.21-7.23, Xi’an.

 2. The 11th Henan Symposium on Nonlinear Partial Differential Equations, 2019.05.10-05.12, Luoyang.

 3. 7th Workshop on Recent Advances on Spectral Methods and Related Applications, 2019.06.08-06.09, Beijing.

 4. 12th National Annual Conference of Computational Mathematics, 2019.07.31-08.04, Harbin.

 5. The 27th Symposium on Mathematics Teaching and Research in Universities in Henan Province, 2022.08.11-08.13, Xinyang.

 6. The 8th Academic Symposium on Spectral Methods and Their Applications, 2023.08.07-08.11

 7. The 28th Symposium on Mathematics Teaching and Research in Universities in Henan Province, 2023.08.13-08.15, Shangqiu.