BIMSA > Yi Zhu
Professor Yi Zhu

Affiliation: BIMSA , YMSC

Group: Computational Mathematics

Email: yizhu@bimsa.cn

Research Field: Applied and Computational Mathematics

Webpage: http://yizhu-thu.github.io

Education Experience

  • 2003 - 2008      Tsinghua University      Mathematics      Doctor
  • 1999 - 2003      Tsinghua University      Mathematics      Bachelor

Work Experience

  • 2024 -      YMSC/BIMSA      Professor
  • 2021 - 2023      BIMSA      Associate Professor
  • 2020 - 2023      Yau Mathematical Sciences Center, Tsinghua University      Associate Professor
  • 2016 - 2016      Columbia University      Visiting Associate Research Fellow
  • 2015 - 2015      Columbia University      Visiting Associate Research Fellow
  • 2012 - 2012      University of Colorado Boulder      Visiting Associate Professor
  • 2011 - 2019      Zhou Peiyuan Center for Applied Mathematics Tsinghua University      Associate Research Fellow
  • 2008 - 2011      University of Colorado Boulder      Postdoc

Publication

  • [1] Y. Cao and Y. Zhu, Edge states in super honeycomb structures with PT symmetric deformations, arXiv:2402.15702 (2024)
  • [2] Borui Miao, Yi Zhu, Generalized Honeycomb-Structred Materials in the Subwavelength Regime, SIAM J. Appl. Math., 84, 1116-1139 (2024)
  • [3] 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)
  • [4] 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
  • [5] Li Wang, Jianhua Zeng, Yi Zhu, Fundamental and dipole gap solitons and their dynamics in the cubic-quintic fractional nonlinear Schrodinger model with a PT-symmetric lattice, Physica D, 2024(465), 134-144 (2024)
  • [6] 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
  • [7] 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, 114057 (2023)
  • [8] Y. Cao, Yi Zhu, Double conical degeneracy on the band structure of periodic Schrödinger operators, accepted by (SIAM) Multiscale. Model. Simul.(2023)
  • [9] P. Hu, P. Xie, Yi Zhu, Traveling edge states in massive Dirac equations along slowly varying edges, accepted by IMA J. Appl. Math.(2023)
  • [10] Ablowitz, M. J., Luo, X. D., Musslimani, Z. H., & Zhu, Y. (2022). Integrable nonlocal derivative nonlinear Schrödinger equations. Inverse Problems, 38(6), 065003.
  • [11] Liwei Lu, Zhijun Zeng, Yan Jiang, Yi Zhu, Pipi Hu, fast reveal hidden stochastic dynamics from high-dimensional aggregate data(2022)
  • [12] M. Ablowitz, X. Luo, Z. Musslimani, Yi Zhu, Integrable nonlocal derivative nonlinear Schrödinger equations, Inverse Problems, 38(2022)
  • [13] H. Guo, M. Zhang, Yi Zhu, Three-fold Weyl points in the Schrödinger operator with periodic potentials, SIAM Math. Anal., 54(2022)
  • [14] 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
  • [15] , arXiv:2202.13653, (), -, (2022)
  • [16] H. Guo, X. Yang, Yi Zhu, Unfitted Nitsche's method for computing wave modes in topological materials, J. Sci. Comput, 88(2021), 24
  • [17] H. Guo and M. Zhang, Y. Zhu, Three-fold Weyl points in the Schrödinger operator with periodic potentials, to appear in SIAM Math. Anal.
  • [18] H. Guo and X. Yang, Y. Zhu, Unfitted Nitsche’s method for computing wave modes in topological materials, J. Sci. Comput., 88(2021), 24
  • [19] P. Xie, Yi Zhu, Wave packets in the fractional nonlinear Schrödinger equation with a honeycomb potential, (SIAM) Multiscale. Model. Simul., 19(2021), 951-979
  • [20] 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)
  • [21] 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
  • [22] Wuyue Yang, Liangrong Peng, Yi Zhu, and Liu Hong, Identification of hydrodynamic instability by convolutional neural networks, arXiv:2006.01446(2020)
  • [23] 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
  • [24] Linear and nonlinear wave dynamics in modulated honeycomb media (with P. Hu and L. Hong), Stud. Appl. Math. 144(2020), 18-45
  • [25] Wave-packet dynamics in slowly modulated photonic graphene (with P. Xie), J. Differential Equations 267(2019), 5775-5808
  • [26] 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
  • [27] 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
  • [28] Generalized hydrodynamics and the classical hydrodynamic limit (with Z. Yang and W.-A. Yong), arXiv: 1809.01611
  • [29] Generalized Onsager's reciprocal relations for the master and Fokker-Planck equations (with L. Peng and L. Hong), Phys. Rev. E 97 (2018), 062123
  • [30] The Markov process admits a consistent steady-state thermodynamic formalism (with L.Peng and L. Hong), J. Math. Phys. 59 (2018), 013302
  • [31] Zaibao Yang, Wen-An Yong, Yi Zhu, Generalized hydrodynamics and the classical hydrodynamic limit(2018)
  • [32] 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
  • [33] Local bifurcation of electro-hydrodynamic waves on a conducting fluid (with Z. Lin and Z. Wang), Phys. Fluids 29 (2017), 032107
  • [34] Novel dissipative properties of the master equation (with L. Hong, J. Chen and W.-A. Yong), J. Math. Phys. 57 (2016), 103303
  • [35] PT symmetry in a fractional Schrodinger equation (with Y. Zhang, H. Zhong, M. R. Belic et al), Laser Photon. Rev. 10(2016), 526-531
  • [36] A rigorous derivation of multicomponent diffusion laws (with Z. Yang and W.-A. Yong), arXiv:1502.03516
  • [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] Conservation-dissipation formalism for non-equilibrium thermodynamics (with L. Hong, Z. Yang and W.-A. Yong), J. Non-Equil. Thermodynamics 40 (2015), 67-74
  • [39] Dynamics in PT-symmetric honeycomb lattices with nonlinearity (with C. W. Curtis), Stud. Appl. Math. 135 (2015), 139-170
  • [40] Unveiling pseudo-spin and angular momentum in photonic graphene (with D. Song, V. Paltoglou et al), Nat. Commun. 6 (2015), 6272
  • [41] Zaibao Yang, Wen-An Yong, Yi Zhu, A rigorous derivation of multicomponent diffusion laws(2015)
  • [42] Direct observation of pseudospin-mediated vortex generation in photonic graphene (D. Song, L. Tang, S. Liu, et al), In CLEO:EELS Fundamental Science, 2014
  • [43] Nonlinear wave packets in deformed honeycomb lattices (with M. J. Ablowitz), SIAM J. Appl. Math. 73(2013), 1959-1979
  • [44] 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
  • [45] Localized nonlinear edge states in honeycomb lattices (with M. J. Ablowitz and C. W. Curtis), Phys. Rev. A 88 (2013), 13850.
  • [46] Unified orbital description of the envelope dynamics in two-dimensional simple periodic lattices (with M. J. Ablowitz), Stud. Appl. Math. 131(2013),41-71
  • [47] 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
  • [48] Nonlinear waves in shallow honeycomb lattices (with M. J. Ablowitz), SIAM J. Appl.Math. 72(2012) 240-260
  • [49] On Tight Binding Approximations in Optical lattice (with M. J. Ablowitz and C. W. Curtis), Stud. Appl. Math. 129(2012),362-388
  • [50] 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
  • [51] 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
  • [52] Nonlinear diffraction in photonic graphene (with M. J. Ablowitz), Opt. Lett. 36(2011),762-3764
  • [53] Evolution of Bloch-mode envelopes in two-dimensional generalized honeycomb lattices (with M. J. Ablowitz),Phys. Rev. A 82(2010), 013840
  • [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] 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
  • [56] Conical diffraction in honeycomb lattices (with M.J. Ablowitz and S. D. Nixon), Phys.Rev. A 79(2009), 053830
  • [57] 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
  • [58] Universal map for fractal structures in weak interactions of solitary waves (with J. Yang and R. Haberman), Phys. Rev. Lett. 100(2008), 143901
  • [59] Universal fractal structures in the weak interaction of solitary waves in generalized nonlinear Schrodinger equations (with J. Yang), Phys. Rev. E 75(2007), 036605
  • [60] L. Lu, H. Guo, X. Yang and Y. Zhu, Temporal Difference Learning for High-Dimensional PIDEs with Jumps, SIAM J. Sci. Comput., 46, C349-C368 (2024)
  • [61] L. Wang, J. Zeng and Y. Zhu, Fundamental and dipole gap solitons and their dynamics in the cubic–quintic fractional nonlinear Schroedinger model with a PT-symmetric lattice, Physica D, 465, 134144 (2024)
  • [62] When machine learning meets multiscale modeling in chemical reactions (with W. Yang, L. Peng and L. Hong) to appear in J. Chem. Phys.vvv

 

Update Time: 2025-05-21 12:31:44