Biography
Angxiu Ni, Ph.D., is an Assistant Professor in the Department of Mathematics at the University of California, Irvine. A scholar in applied and computational dynamical systems and probability, Ni develops methods for computing derivatives of averaged statistics in random systems, including the fast response method, the path-kernel method, and the divergence-kernel method. His research focuses on the numerical interaction with chaos across fields such as optimization, fluids, climate, inference, data assimilation, and machine learning.
Ni received a Ph.D. in Applied Mathematics from the University of California, Berkeley in 2021, where he was advised by John Strain. Prior to joining UC Irvine in 2024, he held positions as a tenure-track assistant professor at Yau Math Sciences Center at Tsinghua University and as a Boya Postdoctoral Fellow at the Beijing International Center for Mathematical Research at Peking University, where he worked with Pingwen Zhang. He also served as Manager of Undergraduate Affairs at Qiuzhen College, Tsinghua University.
Ni received the Friedman Memorial Prize in Applied Mathematics from UC Berkeley in 2021. He has published extensively on sensitivity analysis and linear response in chaotic systems, with work appearing in journals including the Journal of Nonlinear Science, SIAM Journal on Applied Dynamical Systems, Journal of Computational Physics, and Journal of Fluid Mechanics. He organized the minisymposium "Linear response / sensitivity analysis / backpropagation in chaos" at the 2021 SIAM Conference on Computational Science and Engineering.
Return to topEducation
- Ph.D. in Applied Mathematics, UC Berkeley, 2021
- M.S. in Computation and Optimization, MIT, 2017
- M.S. in Computation and Optimization, Tsinghua University, 2014
- B.E. in Mechanical Engineering, Tsinghua University, 2011
Distinctions
- Boya Postdoc, Peking University, 2021
- Friedman Memorial Prize in Applied Mathematics, UC Berkeley, 2021
- Richman Fellowship, Department of Mathematics, UC Berkeley, 2021
Areas of Expertise
- Computational Dynamical Systems
- Sensitivity Analysis Chaotic Systems
- Shadowing Algorithms
- Linear Response Theory
- Backpropagation Unstable Diffusions
- Divergence-Kernel Methods
- Hyperbolic Chaos Adjoint Methods
Recent Publications
- Ni A., “Fast Differentiation of Hyperbolic Chaos” (opens in new tab), Archive for Rational Mechanics and Analysis, vol. 250, 2026.
- Angxiu Ni, “Ergodic and Foliated Kernel-Differentiation Method for Linear Responses of Random Systems” (opens in new tab), Journal of Nonlinear Science, vol. 35, pp. 90, 2025.
- Galatolo S., Ni A., “Optimal response for hyperbolic systems by the fast adjoint response method” (opens in new tab), Nonlinearity, vol. 38, 2025.
- Angxiu Ni, Yao Tong, “Equivariant Divergence Formula for Hyperbolic Chaotic Flows” (opens in new tab), Journal of Statistical Physics, vol. 191, pp. 118, 2024.
- Angxiu Ni, “Backpropagation in hyperbolic chaos via adjoint shadowing” (opens in new tab), Nonlinearity, vol. 37, pp. 035009, 2024.
- Angxiu Ni, Yao Tong, “Recursive divergence formulas for perturbing unstable transfer operators and physical measures” (opens in new tab), Journal of Statistical Physics, vol. 190, pp. 126, 2023.
- Angxiu Ni, “Fast adjoint algorithm for linear responses of hyperbolic chaos” (opens in new tab), SIAM Journal on Applied Dynamical Systems, vol. 22, pp. 2792–2824, 2023.
- Angxiu Ni, “Approximating linear response formula by non-intrusive shadowing algorithms” (opens in new tab), SIAM Journal on Numerical Analysis, vol. 59, no. 6, pp. 2843–2865, 2021.
- Mario Chater, Angxiu Ni, Qiqi Wang, “Simplified least squares shadowing sensitivity analysis for chaotic ODEs and PDEs” (opens in new tab), Journal of Computational Physics, vol. 329, pp. 126-140, 2017.
- Angxiu Ni, Yufei Zhang, Haixin Chen, “An improvement to NSGA-II algorithm and its application in optimization design of multi-element airfoil” (opens in new tab), Kongqi Donglixue Xuebao Acta Aerodynamica Sinica, vol. 32, no. 2, pp. 252-257, 2014.
Most Cited Publications
- Angxiu Ni, “Hyperbolicity, shadowing directions, and sensitivity analysis of a turbulent 3-D flow” (opens in new tab), Journal of Fluid Mechanics, vol. 863, pp. 644-669, 2019.
- Angxiu Ni, Chaitanya Talnikar, “Adjoint sensitivity analysis on chaotic dynamical systems by non-intrusive least squares adjoint shadowing (NILSAS)” (opens in new tab), Journal of Computational Physics, vol. 395, pp. 690-709, 2019.
- Mario Chater, Angxiu Ni, Patrick Blonigan, Qiqi Wang, “Least squares shadowing method for sensitivity analysis of differential equations” (opens in new tab), SIAM Journal on Numerical Analysis, vol. 55, no. 6, pp. 3030–3046, 2017.
Contact Information
Website: https://faculty.sites.uci.edu/niangxiu/
Email: angxiun@uci.edu
Address: 540J Rowland Hall
Return to topThis profile was created with the help of AI.
Last updated on 4/24/2026.