Sensitivity analysis on chaotic dynamical systems by Non-Intrusive Least Squares Shadowing (NILSS) A Ni, Q Wang Journal of Computational Physics 347, 56-77, 2017 | 104 | 2017 |
Adjoint sensitivity analysis on chaotic dynamical systems by Non-Intrusive Least Squares Adjoint Shadowing (NILSAS) A Ni, C Talnikar Journal of Computational Physics 395, 690-709, 2019 | 49 | 2019 |
Hyperbolicity, shadowing directions and sensitivity analysis of a turbulent three-dimensional flow A Ni Journal of Fluid Mechanics 863, 644-669, 2019 | 42 | 2019 |
Sensitivity analysis on chaotic dynamical systems by finite difference non-intrusive least squares shadowing (FD-NILSS) A Ni, Q Wang, P Fernandez, C Talnikar Journal of Computational Physics 394, 615-631, 2019 | 36 | 2019 |
Least squares shadowing method for sensitivity analysis of differential equations M Chater, A Ni, PJ Blonigan, Q Wang SIAM Journal on Numerical Analysis 55 (6), 3030-3046, 2017 | 23 | 2017 |
Approximating linear response by nonintrusive shadowing algorithms A Ni SIAM Journal on Numerical Analysis 59 (6), 2843-2865, 2021 | 20* | 2021 |
Adjoint shadowing for backpropagation in hyperbolic chaos A Ni arXiv preprint arXiv:2207.06648, 2022 | 19* | 2022 |
An improvement to NSGA-Ⅱ algorithm and its application in optimization design of multi-element airfoil NI Angxiu, Z Yufei, C Haixin Acta Aerodynamica Sinica 32 (2), 252-257, 2014 | 17 | 2014 |
Fast linear response algorithm for differentiating stationary measures of chaos A Ni arXiv preprint arXiv:2009.00595, 2020 | 12* | 2020 |
Fast adjoint algorithm for linear responses of hyperbolic chaos A Ni SIAM Journal on Applied Dynamical Systems 22 (4), 2792-2824, 2023 | 11* | 2023 |
RECURSIVE DIVERGENCE FORMULAS FOR PERTURBING UNSTABLE TRANSFER OPERATORS AND PHYSICAL MEASURES A NI, YAO TONG J Stat Phys 190 (126), 2023 | 10* | 2023 |
Linear Range in Gradient Descent A Ni, C Talnikar arXiv preprint arXiv:1905.04561, 2019 | 4 | 2019 |
Simplified least squares shadowing sensitivity analysis for chaotic ODEs and PDEs M Chater, A Ni, Q Wang Journal of Computational Physics 329, 126-140, 2017 | 4 | 2017 |
No-propagate algorithm for linear responses of random chaotic systems A Ni arXiv preprint arXiv:2308.07841, 2023 | 3 | 2023 |
Backpropagation in hyperbolic chaos via adjoint shadowing A Ni Nonlinearity 37 (3), 035009, 2024 | 2 | 2024 |
Numerical Differentiation of Stationary Measures of Chaos A Ni University of California, Berkeley, 2021 | 2 | 2021 |
Equivariant Divergence Formula for Hyperbolic Chaotic Flows A Ni, Y Tong Journal of Statistical Physics 191 (9), 118, 2024 | | 2024 |