Fang, Zhi-Wei (方志伟)

Associate Professor, School of Mathematics and Big Data, Foshan University No. 18 Jiangwan First Road, Foshan, China E-mail: fangzw@fosu.edu.cn

Academic Qualifications

• Ph. D. in Department of Mathematics, University of Macau, Macau (2018)

• B. Sc. in School of Mathematics and Statistics, Ningxia University, China (2013)

Working Experience

• 08/2018 - 07/2019 Postdoctoral Fellow, Department of Mathematics, Hong Kong Baptist University, Hong Kong

• 01/2020 - 01/2022 Postdoctoral Fellow, Department of Mathematics, University of Macau, Macau

• 07/2019 - 05/2023 Assistant Professor, School of Mathematics and Big Data, Foshan University, Foshan, China

• 06/2023 - now        Associate Professor, School of Mathematics and Big Data, Foshan University, Foshan, China

Research

Grants

1. 01/2020 - 12/2022 "时间变阶偏微分方程快速数值方法的构造和理论研究", Grant no. 2019A1515110893, from the Guangdong Basic and Applied Basic Research Foundation (PI)

2. 01/2022 - 12/2024 "Study of the fast numerical algorithms for time-space variable-order fractional diffusion equations", Grant no. 12101123, from the National Natural Science Foundation of China (PI)

3. 01/2024 - 12/2026 "基于核函数变换的分数阶扩散方程快速高阶数值算法研究", from the Guangdong Basic and Applied Basic Research Foundation (PI)

Publications

1. T. Li, F. Chen, Z. Fang, H. Sun, and Z. Wang, Two-parameter modified matrix splitting iteration method for Helmholtz equation, International Journal of Computer Mathematics, 2024.

2. Y. Cai, Z. Fang*, H. Chen, and H. Sun, A fast two-level Strang splitting method for multi-dimensional spatial fractional Allen-Cahn equations with discrete maximum principle, East Asian Journal on Applied Mathematics, 2023, 13(2): 340–360.

3. X. Huang, Z. Fang, H. Sun, and C. Zhang, A circulant preconditioner for the Riesz distributed-order space-fractional diffusion equations, Linear and Multilinear Algebra, 2022, 70(16): 3081–3096.

4. J. Zhang, Z. Fang*, and H. Sun, Robust fast method for variable-order time-fractional diffusion equations without regularity assumptions of the true solutions, Applied Mathematics and Computation, 2022, 430: 127273.

5. L. Sun, Z. Fang, S. Lei, H. Sun, and J. Zhang, A fast algorithm for two-dimensional distributed-order time-space fractional diffusion equations, Applied Mathematics and Computation, 2022, 425: 127095.

6. J. Zhang, Z. Fang, and H. Sun, Fast second-order evaluation for variable-order Caputo fractional derivative with applications to fractional sub-diffusion equations, Numerical Mathematics: Theory, Methods and Applications, 2022, 15 (1): 200–226.

7. J. Zhang, Z. Fang, and H. Sun, Exponential-sum-approximation technique for variable-order time-fractional diffusion equations, Journal of Applied Mathematics and Computing, 2022, 68: 323–347.

8. Z. Fang, J. Zhang, and H. Sun, A fast finite volume method for spatial fractional diffusion equations on nonuniform meshes, Computers & Mathematics with Applications, 2022, 108: 175–184.

9. Q. Zhang, C. Sun, Z. Fang*, and H. Sun, Pointwise error estimate and stability analysis of fourth-order compact difference scheme for time-fractional Burgers' equation, Applied Mathematics and Computation, 2022, 418: 126824.

10. C. Zhang, G. Chen, Z. Fang, and H. Sun, An unconditionally positivity-preserving implicit-explicit scheme for evolutionary stable distribution model, Journal of Computational and Applied Mathematics, 2022, 403: 113883.

11. Z. Fang, X. Lin, M. Ng, and H. Sun, Preconditioning for symmetric positive definite systems in balanced fractional diffusion equations, Numerische Mathematik, 2021, 147: 651–677.

12. X. Lu, Z. Fang*, and H. Sun, Splitting preconditioning based on sine transform for time-dependent Riesz space fractional diffusion equations, Journal of Applied Mathematics and Computing, 2021, 66 (1-2): 673–700.

13. Z. Fang, H. Sun, and H. Wang, A fast method for variable-order Caputo fractional derivative with applications to time-fractional diffusion equations, Computers & Mathematics with Applications, 2020, 80 (5): 1443–1458. (2022 ESI Hot Paper)

14. Z. Fang, H. Sun, and H. Wei, An approximate inverse preconditioner for spatial fractional diffusion equations with piecewise continuous coefficients, International Journal of Computer Mathematics, 2020, 97 (3): 523–545.

15. Z. Fang, M. Ng, and H. Sun, Circulant preconditioners for a kind of spatial fractional diffusion equations, Numerical Algorithms, 2019, 82 (2): 729–747.

16. Z. Fang*, J. Shen, and H. Sun, Preconditioning techniques in Chebyshev collocation method for elliptic equations, International Journal of Numerical Analysis & Modeling, 2018, 15 (1-2): 277–287.

Note: * indicates the corresponding author.

Full list of publications in Google Scholar.

Academic service - Editor

• 01/2021 - 12/2025 Frontiers of Chinese Pure Mathematics 中国理论数学前沿

Academic service - Reviewer

• Mathematical Reviews

• Journal of Scientific Computing

• Computer & Mathematics with Applications

• Applied Numerical Mathematics

• AIMS Mathematics

• Communications in Nonlinear Science and Numerical Simulation

• Fractional Calculus and Applied Analysis

• Physica D: Nonlinear Phenomena

• Journal of Computational and Applied Mathematics

Activities and Awards

• 08/2023--12/2023 Visiting Scholar at the University of South Carolina, Columbia, SC, USA

• 06/2023--08/2023 Visiting Scholar at the Hong Kong Polytechnic University, Hong Kong

• 09/2021 Organization Member of "数字科技与高性能计算青年论坛", Foshan, China

• 11/2020 Organization Member of "The 3rd International Workshop on Numerical Analysis and Applications of Fractional Differential Equations", Foshan, China

• 07/2017 "SIAM Student Travel Award" for SIAM Annual Meeting 2017, Pittsburgh, PA, USA

A brief cv.