BIMSA > 朱毅
教授 朱毅

单位: 北京雁栖湖应用数学研究院 , 清华丘成桐数学科学中心

团队: 计算数学

邮箱: yizhu@bimsa.cn

研究方向: 应用数学、计算数学、机器学习等

个人主页: http://yizhu-thu.github.io

教育经历

  • 2003 - 2008      清华大学      数学      博士
  • 1999 - 2003      清华大学      数学      学士

工作经历

  • 2021 -      北京雁栖湖应用数学研究院      Associate Professor
  • 2020 -      清华大学丘成桐数学科学中心      副教授
  • 2016 - 2016      哥伦比亚大学      访问副研究员
  • 2015 - 2015      哥伦比亚大学      访问副研究员
  • 2012 - 2012      科罗拉多大学博尔德分校      访问副教授
  • 2011 - 2019      清华大学周培源应用数学研究中心      副研究员
  • 2008 - 2011      科罗拉多大学博尔德分校      博士后

出版物

  • [1] Liya Guo, Liwei Lu, Zhijun Zeng, Pipi Hu, and Yi Zhu, Weak Collocation Regression for Inferring Stochastic Dynamics with Lévy Noise, accepted by Communications in Computational Physics(2024)
  • [2] Liwei Lu, Zhijun Zeng, Yan Jiang, Yi Zhu, and Pipi Hu, Weak Collocation Regression method: fast reveal hidden stochastic dynamics from high-dimensional aggregate data, Journal of Computational Physics, 502(2024), 112799
  • [3] Liwei Lu, Hailong Guo, Xu Yang, and Yi Zhu, TEMPORAL DIFFERENCE LEARNING FOR HIGH-DIMENSIONAL, SIAM Journal on Scientific Computing, 46(2024), 4, C349-C368
  • [4] Yan Jiang, Wuyue Yang, Yi Zhu, and Liu Hong, Entropy structure informed learning for solving inverse problems of differential equations, Chaos, Solitons and Fractals, 175(2023), 114057
  • [5] Borui Miao, Yi Zhu, Generalized Honeycomb-structured Materials in the Subwavelength Regime(2023)
  • [6] Y. Cao, Yi Zhu, Double conical degeneracy on the band structure of periodic Schrödinger operators, accepted by (SIAM) Multiscale. Model. Simul.(2023)
  • [7] P. Hu, P. Xie, Yi Zhu, Traveling edge states in massive Dirac equations along slowly varying edges, accepted by IMA J. Appl. Math.(2023)
  • [8] Ablowitz, M. J., Luo, X. D., Musslimani, Z. H., & Zhu, Y. (2022). Integrable nonlocal derivative nonlinear Schrödinger equations. Inverse Problems, 38(6), 065003.
  • [9] P. Hu and P. Xie, Y. Zhu, Traveling edge states in massive Dirac equations along slowly varying edges, arXiv:arXiv:2202.13653
  • [10] Liwei Lu, Zhijun Zeng, Yan Jiang, Yi Zhu, Pipi Hu, fast reveal hidden stochastic dynamics from high-dimensional aggregate data(2022)
  • [11] Pipi Hu, Wuyue Yang, Yi Zhu, and Liu Hong, Revealing hidden dynamics from time-series data by ODENet, Journal Of Computational Physics, 465(2022), 111203
  • [12] H. Guo, M. Zhang, Yi Zhu, Three-fold Weyl points in the Schrödinger operator with periodic potentials, SIAM Math. Anal., 54(2022)
  • [13] M. Ablowitz, X. Luo, Z. Musslimani, Yi Zhu, Integrable nonlocal derivative nonlinear Schrödinger equations, Inverse Problems, 38(2022)
  • [14] H. Guo and M. Zhang, Y. Zhu, Three-fold Weyl points in the Schrödinger operator with periodic potentials, to appear in SIAM Math. Anal.
  • [15] H. Guo, X. Yang, Yi Zhu, Unfitted Nitsche's method for computing wave modes in topological materials, J. Sci. Comput, 88(2021), 24
  • [16] H. Guo and X. Yang, Y. Zhu, Unfitted Nitsche’s method for computing wave modes in topological materials, J. Sci. Comput., 88(2021), 24
  • [17] P. Xie, Yi Zhu, Wave packets in the fractional nonlinear Schrödinger equation with a honeycomb potential, (SIAM) Multiscale. Model. Simul., 19(2021), 951-979
  • [18] Hailong Guo, Xu Yang, Yi Zhu, Unfitted Nitsche’s method for computing band structures of phononic crystals with periodic inclusions, Comput. Meth. Appl. Mech. Eng., 380(2021)
  • [19] Wuyue Yang, Liangrong Peng, Yi Zhu, and Liu Hong, When machine learning meets multiscale modeling in chemical reactions, The Journal of Chemical Physics, 153(2020), 094117
  • [20] Wuyue Yang, Liangrong Peng, Yi Zhu, and Liu Hong, Identification of hydrodynamic instability by convolutional neural networks, arXiv:2006.01446(2020)
  • [21] H. Guo and X. Yang, Y. Zhu, Unfitted Nitsche's method for computing band structures in phononic crystals with impurities, Comput. Methods Appl. Mech. Engrg., 380(2020), 113743
  • [22] Linear and nonlinear wave dynamics in modulated honeycomb media (with P. Hu and L. Hong), Stud. Appl. Math. 144(2020), 18-45
  • [23] Wave-packet dynamics in slowly modulated photonic graphene (with P. Xie), J. Differential Equations 267(2019), 5775-5808
  • [24] Elliptic operators with honeycomb symmetry: Dirac points, edge states and applications to photonic graphene (with J. P. Lee-Thorp and M. I. Weinstein), Arch. Rational Mech. Anal. 232(2019), 1-63
  • [25] Bloch theory-based gradient recovery method for computation of edge mode in photonic graphene (with H. Guo and X. Yang), J. Comp. Phys. 379 (2019), 403-420
  • [26] Generalized hydrodynamics and the classical hydrodynamic limit (with Z. Yang and W.-A. Yong), arXiv: 1809.01611
  • [27] Generalized Onsager's reciprocal relations for the master and Fokker-Planck equations (with L. Peng and L. Hong), Phys. Rev. E 97 (2018), 062123
  • [28] The Markov process admits a consistent steady-state thermodynamic formalism (with L.Peng and L. Hong), J. Math. Phys. 59 (2018), 013302
  • [29] Zaibao Yang, Wen-An Yong, Yi Zhu, Generalized hydrodynamics and the classical hydrodynamic limit(2018)
  • [30] Local bifurcation of electro-hydrodynamic waves on a conducting fluid (with Z. Lin and Z. Wang), Phys. Fluids 29 (2017), 032107
  • [31] Transport properties in the photonic super-honeycomb lattice a hybrid fermionic and bosonic system (with H. Zhong, Y. Zhang, et al), Ann. Phys. 529 (2017): 1600258
  • [32] Novel dissipative properties of the master equation (with L. Hong, J. Chen and W.-A. Yong), J. Math. Phys. 57 (2016), 103303
  • [33] PT symmetry in a fractional Schrodinger equation (with Y. Zhang, H. Zhong, M. R. Belic et al), Laser Photon. Rev. 10(2016), 526-531
  • [34] Dynamics in PT-symmetric honeycomb lattices with nonlinearity (with C. W. Curtis), Stud. Appl. Math. 135 (2015), 139-170
  • [35] Unveiling pseudo-spin and angular momentum in photonic graphene (with D. Song, V. Paltoglou et al), Nat. Commun. 6 (2015), 6272
  • [36] Conservation-dissipation formalism for non-equilibrium thermodynamics (with L. Hong, Z. Yang and W.-A. Yong), J. Non-Equil. Thermodynamics 40 (2015), 67-74
  • [37] A novel construction of thermodynamically compatible models and its correspondence with Boltzmann-equation-based moment-closure hierarchies (with L. Hong, Z. Yang and W.-A.Yong), J. Non-Equil. Thermodynamics 40 (2015), 247-256
  • [38] Zaibao Yang, Wen-An Yong, Yi Zhu, A rigorous derivation of multicomponent diffusion laws(2015)
  • [39] A rigorous derivation of multicomponent diffusion laws (with Z. Yang and W.-A. Yong), arXiv:1502.03516
  • [40] Direct observation of pseudospin-mediated vortex generation in photonic graphene (D. Song, L. Tang, S. Liu, et al), In CLEO:EELS Fundamental Science, 2014
  • [41] Nonlinear wave packets in deformed honeycomb lattices (with M. J. Ablowitz), SIAM J. Appl. Math. 73(2013), 1959-1979
  • [42] Nonlinear Dynamics of Bloch Wave Packets in Honeycomb Lattices (with M. J. Ablowitz), in book "Spontaneous Symmetry Breaking, Self-Trapping, and Josephson Oscillations" Progress in Optical Science and Photonics 1(2013), 1-26
  • [43] Localized nonlinear edge states in honeycomb lattices (with M. J. Ablowitz and C. W. Curtis), Phys. Rev. A 88 (2013), 13850.
  • [44] Unified orbital description of the envelope dynamics in two-dimensional simple periodic lattices (with M. J. Ablowitz), Stud. Appl. Math. 131(2013),41-71
  • [45] Nonlinear dynamics of wave packets in parity-time-symmetric optical lattices near the phase transition point (with S.D. Nixon and J. Yang), Opt. Lett. 37(2012),4874-4876
  • [46] On Tight Binding Approximations in Optical lattice (with M. J. Ablowitz and C. W. Curtis), Stud. Appl. Math. 129(2012),362-388
  • [47] Nonlinear waves in shallow honeycomb lattices (with M. J. Ablowitz), SIAM J. Appl.Math. 72(2012) 240-260
  • [48] Scalable Misbehavior Detection in Online Video Chat Services (with X. Xing, Y. Liang, et al), Proceedings of the 18th ACM SIGKDD international conference on Knowledge discovery and data mining 2012, 552-560
  • [49] Nonlinear diffraction in photonic graphene (with M. J. Ablowitz), Opt. Lett. 36(2011),762-3764
  • [50] Nonlinear wave dynamics: from lasers to fluids (with M. J. Ablowitz, T. S. Haut, T. P.Horikis and S. D. Nixon), Discrete Contin. Dyn. Syst. S, 4(2011), 923 - 955
  • [51] Evolution of Bloch-mode envelopes in two-dimensional generalized honeycomb lattices (with M. J. Ablowitz),Phys. Rev. A 82(2010), 013840
  • [52] Conical diffraction in honeycomb lattices (with M.J. Ablowitz and S. D. Nixon), Phys.Rev. A 79(2009), 053830
  • [53] Asymptotic analysis of pulse dynamics in mode-locked lasers (with M. J. Ablowitz, T. P. Horikis and S. D. Nixon), Stud. Appl. Math. 122(2009), 411-425
  • [54] Separatrix map analysis for fractal scatterings in weak solitary wave interactions (with J. Yang and R. Haberman), Stud. Appl. Math. 122(2009), 449-483
  • [55] A universal separatrix map for weak interactions of solitary waves in generalized nonlinear Schrodinger equations (with J. Yang and R. Haberman), Physica D 237(2008), 2411-2422
  • [56] Universal map for fractal structures in weak interactions of solitary waves (with J. Yang and R. Haberman), Phys. Rev. Lett. 100(2008), 143901
  • [57] Universal fractal structures in the weak interaction of solitary waves in generalized nonlinear Schrodinger equations (with J. Yang), Phys. Rev. E 75(2007), 036605
  • [58] When machine learning meets multiscale modeling in chemical reactions (with W. Yang, L. Peng and L. Hong) to appear in J. Chem. Phys.vvv

 

更新时间: 2024-09-12 17:18:05