周珍楠 - 北京大学 - 北京国际数学研究中心

个人简介

Assistant Professor (Tenure-track), BICMR, Peking University, 2017.8 William W. Elliott Assistant Research Professor, Duke University, 2014.8 2017. 7 Mentor: Professor Jianfeng Lu Ph.D. in Mathematics, University of Wisconsin-Madison, 2014. Thesis Advisor: Professor Shi Jin Thesis Title: Computational Methods for Semi-classical Schödinger Equations with Vector Potentials and Erhenfest Dynamics M.A., University of Wisconsin-Madison, 2011. B.S., Jilin University, 2009.

研究领域

My primary research interests are in the applied analysis of PDE and stochastic models, and numerical approximation of scientic problems arising from quantum mechanics, theoretical chemistry,solid state physics, biology, etc. I also take interest in selected topics in data science, such as algorithm analysis. I have studied semiclassical Schödinger equations, path-integral molecular dynamics, chemotaxis,tumor growth models, neural network models etc., using both analytical and stochastic methods, and investigated valid and ecient computational tools for them.

近期论文

查看导师新发文章（温馨提示：请注意重名现象，建议点开原文通过作者单位确认）

1. Z. Huang, L. Xu and Z. Zhou*, Ecient Frozen Gaussian Sampling Algorithms for Nonadiabatic Quantum Dynamics at Metal Surfaces, Journal of Computational Physics, Volume 474, 1 February 2023, 111771, arXiv:2206.02173. 2. X. Dou, B. Perthame, D. Salort and Z. Zhou*, Bounds and long term convergence for the voltageconductance kinetic system arising in neuroscience, Discrete and Continuous Dynamical Systems.doi: 10.3934/dcds.2022136, arXiv:2202.12539. 3. X. Dou, J.-G. Liu and Z. Zhou*, A tumor growth model with autophagy: The reaction-(cross-)diusion system and its free boundary limit, Discrete and Continuous Dynamical Systems -Series B, Volume 28, Issue 3 (2023): 1964-1992, arXiv:2007.13543. 4. Q. He, J. Hu and Z. Zhou*, A structure preserving numerical scheme for Fokker-Planck equations of structured neural networks with learning rules, SIAM Journal on Scientic Computing, Volume 44, Issue 4 (2022), arXiv:2109.04667. 5. L. Li, J.-G. Liu, Z. Liu, Y. Yang and Z. Zhou, On Energy Stable Runge-Kutta Methods for the Water Wave Equation and Its Simplied Non-Local Hyperbolic Model, Commun. Comput. Phys.,32 (2022), pp. 222-258, arXiv:1712.04881. 6. B. Miao, G. Russo and Z. Zhou*, A novel spectral method for the semi-classical Schrödinger equation based on the Gaussian wave-packet transform, IMA Journal of Numerical Analysis,2022, drac013, arXiv:2102.10297. 7. S. Wu, Z. Zhou*, Z.Huang and B. Bai, Approximation of the Shannon Capacity via Matrix Cone Programming, J. Oper. Res. Soc. China (2022). 8. X. Ye and Z. Zhou*, Ecient Sampling of Thermal Averages of Interacting Quantum Particle Systems with Random Batches, Journal of Chemical Physics, 05/2021, Volume 154, Issue 20,arXiv:2102.04688. 9. Z. Sun, K. Li, Z. Xu, H. Deng, Z, Zhou, and Y. Dang, Dimeric Cycloparaphenylenes with Rigid Aromatic Linker, Angewandte Chemie, 03/2021, Volume 133, Issue 14. 10. J.-G. Liu, Z. Wang, Y. Xie, Y. Zhang and Z. Zhou*, Investigating the integrate and re model as the limit of a random discharge model: a stochastic analysis perspective, Mathematical Neuroscience and Applications, 2021, Volume 1, arXiv:2009.04679 11. Y. Zhang, Y. Zhao and Z. Zhou*, A unied structure preserving scheme for a multi-species model with a gradient ow structure and nonlocal interactions via singular kernels, SIAM J. Sci.Comput., 05/2021, Volume 43, Issue 3, B539B569, arXiv:2006.16526. 12. X. Lei and Z. Zhou*, Multi-level Monte Carlo path integral molecular dynamics for thermal average calculation in the nonadiabatic regime, Numerical Mathematics: Theory, Methods & Applications. May2021, Vol. 14 Issue 2, p321-354. 34p, arXiv:2006.09138. 13. J.-G. Liu, Z. Wang, Y. Zhang and Z. Zhou*, Rigorous justication of the Fokker-Planck equations of neural networks based on an iteration perspective, SIAM Journal on Mathematical Analysis,2022, 54 (1),1270-1312, arXiv:2005.08285. 14. J.-G. Liu, J. Wang, Y. Zhao and Z. Zhou, Field model for complex ionic uids: analytical properties and numerical investigation, Communications in computational physics (1815-2406),06/2021, 30 (3), p. 874., arXiv:1912.09208. 15. J. Hu, J.-G. Liu, Y. Xie and Z. Zhou*, A structure preserving numerical scheme for Fokker-Planck equations of neuron networks: numerical analysis and exploration, Journal of Computational Physics, Volume 433, 15 May 2021, 110195, arXiv:1911.07619. 16. J.-G. Liu, M. Tang, L. Wang and Z. Zhou*, Towards understanding the boundary propagation speeds in tumor growth models, SIAM J. Appl. Math., 2021, Volume 81, Issue 3, 10521076,arXiv:1910.11502. 17. Z. Chen and Z. Zhou*, The Bayesian Inversion Problem for Thermal Average Sampling of Quantum Systems, Journal of Computational Physics (2020): 109448, arXiv:1910.02116. 18. C. Xie, C.J. Garcia-Cervera, C. Wang, Z. Zhou, and J. Chen, Second-order semi-implicit projection methods for micromagnetics simulations, Journal of Computational Physics (2020), 404, p.109104. arXiv:1907.02358. 19. S. Jin, L. Liu, G. Russo, and Z. Zhou, Gaussian wave packet transform based numerical scheme for the semi-classical Schrödinger equation with random inputs. Journal of Computational Physics (2020), 401, p.109015. arXiv:1903.08740. 20. J. Lu, Y. Lu and Z. Zhou*, Continuum limit and preconditioned Langevin sampling of the path integral molecular dynamics, Journal of Computational Physics 423 (2020): 109788, arXiv:1811.10995. 21. K. Lafata. J. Hong, R. Geng, B. Ackerson; J.-G., Liu; Z. Zhou, J. Torok, C. Kelsey, F.-F. Yin, Association of pre-treatment radiomic features with lung cancer recurrence following stereotactic body radiation therapy, Physics in Medicine & Biology (2019), 64(2): 025007. 22. K. Lafata, Z. Zhou, J.-G. Liu, J. Hong, C. Kelsey and F.-F. Yin, An Exploratory Radiomics Approach to Quantifying Pulmonary Function in CT Images, Scientic Reports (2019), 9(1):1-9. 23. Q. Zhan, M. Zhuang, Z. Zhou, J.-G. Liu and Q. Liu, Complete-Q model for poro-viscoelastic media: large-scale simulation with an adaptive DG algorithm, IEEE Transactions on Geoscience and Remote Sensing, 2019. 24. Z. Zhou* and G, Russo, The Gaussian wave packets transform for the semi-classical Schrödinger equation with vector potentials, Communications in Computational Physics, 26 (2019): 469-505,arXiv:1802.03705. 25. K. Lafata, Z. Zhou, J.-G. Liu and F. Yin, Data Clustering based on Langevin Annealing with a Self-Consistent Potential, Quarterly of Applied Mathematics (2018). 26. J. Lu and Z. Zhou, Accelerated sampling by innite swapping of path integral molecular dynamics with surface hopping, Journal of Chemical Physics, 148.6 (2018): 064110, arXiv:1709.06424. 27. J.-G. Liu, M. Tang, L. Wang and Z. Zhou*, An accurate front capturing scheme for tumor growth models with a free boundary limit, Journal of Computational Physics, 364 (2018): 73-94,arXiv:1708.08395. 28. J. Lu and Z. Zhou, Path integral molecular dynamics with surface hopping for thermal equilibrium sampling of nonadiabatic systems, Journal of Chemical Physics, 146.15 (2017): 154110,arXiv:1701.06494. 29. J.-G. Liu, M. Tang, L. Wang and Z. Zhou*, Analysis and computation of some tumor growth models with nutrient: from the cell density models to the free boundary dynamics, Discrete and Continuous Dynamical Systems, 24.7 (2019): 3011-3035, arXiv:1802.00655. 30. J.-G. Liu, Z. Ma and Z. Zhou*, Explicit and implicit TVD schemes for conservation laws with Caputo derivatives, Journal of Scientic Computing, 72.1 (2017): 291-313, arXiv:1610.03025. 31. J. Lu and Z. Zhou, Improved sampling and validation of frozen Gaussian approximation with surface hopping algorithm for nonadiabatic dynamics, Journal of Chemical Physics, 145.12 (2016),124109, arXiv:1606.05365. 32. J.-G. Liu, L. Wang and Z. Zhou*, Positivity-preserving and asymptotic preserving method for 2D Keller-Segal equations, Mathematics of Computation, 87 (2018), 1165-1189, arXiv:1610.03016. 33. J. Lu and Z. Zhou, Frozen Gaussian approximation with surface hopping for mixed quantumclassical dynamics: A mathematical justication of surface hopping algorithms, Mathematics of Computation(2018), 87.313, 2189-2232, arXiv:1602.06459.