 | Cheng Xinyu Principal Investigator Research Institute of Intelligent Complex Systems, Fudan University E-mail: xycheng@fudan.edu.cn |
Biography
Dr. Cheng Xinyu received a first-class Bachelor's degree in Mathematics from the The Chinese University of Hong Kong in 2015. He received his master's degree and Doctor's degree from the University of British Columbia in 2017 and 2021 respectively. He conducted postdoctoral research at the School of Mathematical Sciences, Fudan University, from 2021 to 2023. He has won the introduction project of the Postdoctoral Researcher International Exchange Program and the Shanghai 'Super Postdoctoral Researcher' incentive program. He took charge of one project of China Postdoctoral Researcher Science Foundation and one special funding project of China Postdoctoral Researcher Science Foundation. Since December 2023, he has worked as a Junior Principal Investigator in Research Institute of Intelligent Complex Systems, Fudan University, devoted to the theory, modeling and cross-application of space-time dynamic equations in complex systems. He has published 7 academic papers in the top or first-class journals in the relevant field, including Communications in Mathematical Physics, SIAM Journal on Applied Mathematics, Journal of Scientific computing and etc.
Education
2017-2021 Ph.D. of mathematics University of British Columbia
2015-2017 M.Sc. of mathematics University of British Columbia
2011-2015 B.Sc. of mathematics The Chinese University of Hong Kong
Research Interests
nonlinear dynamic equations, partial differential equations, numerical analysis
Representative Publications
1. X. Cheng, D. Li, D. Shirokoff and B. Wetton. On the Spectral Gap of a Square Distance Matrix, J. Stat. Phys., 2017, 166(3-4), 1029–1035.
2. X. Cheng, D. Li, K. Promislow and B. Wetton.Asymptotic Behaviour of Time Stepping Methods for Phase Field Models, J. Sci. Comput., 2021, 86(3), 1–34.
3. X. Cheng, D. Li, C. Quan and W. Yang. On a parabolic Sine-Gordon model, Numerical Mathematics: Theory, Methods and Applications., 2021, 14(4), 1068–1084.
4. X. Cheng, H. Kwon and D. Li. Non-uniqueness of stationary weak solutions to the surface quasi-geostrophic equations, Comm. Math. Phys., 2021, 388 (3), 1281-1295.
5. X. Cheng, D. Li, J. Xu and D. Zha. Global well-posedness for 2D quasilinear wave without Lorentz, Dynam. Part. Differ. Eq., 2022, 19(2) , 123-140.
6. X. Cheng, D. Li and W. Yang . On the equivalence of classical Helmholtz equation and fractional Helmholtz equation with arbitrary order, to appear in Comm. Contemp. Math.
7. X. Cheng, Z. Fu and B. Wetton. Equivalent formulations of the oxygen diffusion problem and other implicit free boundary value problems and implications for numerical approximation, SIAM J. Appl. Math., 2023, 83(1), 52-78.
