X. Dou and Z. Zhou, Dilating blow-up time: A generalized solution of the NNLIF neuron model and its global well-posedness, arXiv:2206.06972.
Z. Huang, L. Xu and Z. Zhou, Efficient Frozen Gaussian Sampling Algorithms for Nonadiabatic Quantum Dynamics at Metal Surfaces, arXiv:2206.02173.
X. Ye and Z. Zhou, Error Analysis of Time-Discrete Random Batch Method for Interacting Particle Systems and Associated Mean-Field Limits, arXiv:2206.02166.
J. Carrillo, X. Dou and Z. Zhou, A simplified voltage-conductance kinetic model for interacting neurons and its asymptotic limit, arXiv:2203.02746.
X. Dou, B. Perthame, D. Salort and Z. Zhou, Bounds and long term convergence for the voltage-conductance kinetic system arising in neuroscience, arXiv:2202.12539.
S. Jin, L. Li, X. Ye and Z. Zhou, Ergodicity and long-time behavior of the Random Batch Method for interacting particle systems, arXiv:2202.04952.
X. Dou and Z. Zhou, Exponential convergence to equilibrium for a two-speed model with variant drift fields via the resolvent estimate, arXiv:2201.12494.
Y. Xie and Z. Zhou, Frozen Gaussian Sampling: A Mesh-free Monte Carlo Method For Approximating Semiclassical Schrödinger Equations, arXiv:2112.05405.
Q. He, J. Hu and Z. Zhou, A structure preserving numerical scheme for Fokker-Planck equations of structured neural networks with learning rules, accepted by SISC, arXiv:2109.04667.
L. Klinger, L. Zhang and Z. Zhou, A Mean Field Game Analysis of Consensus Protocol Design, arXiv:2108.09999.
Z. Zhang, Q. Zhan and Z. Zhou, Fast Algorithms and Error Analysis of Caputo Derivatives with Small Factional Orders, arXiv:2108.02999.
X. Dou, J.-G. Liu and Z. Zhou, Modeling the autophagic effect in tumor growth: a cross diffusion model and its free boundary limit, accepted by DCDS-B, arXiv:2007.13543.
L. Li, J.-G. Liu, Z. Liu, Y. Yang and Z. Zhou, On Runge-Kutta methods for the water wave equation and its simplified nonlocal hyperbolic model, accepted by CiCP, arXiv:1712.04881.
Published works:
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.
S. Wu, Z. Zhou, Z.Huang and B. Bai, Approximation of the Shannon Capacity via Matrix Cone Programming, J. Oper. Res. Soc. China (2022).
X. Ye and Z. Zhou, Efficient 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.
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.
J.-G. Liu, Z. Wang, Y. Xie, Y. Zhang and Z. Zhou, Investigating the integrate and fire model as the limit of a random discharge model: a stochastic analysis perspective, Mathematical Neuroscience and Applications, 2021, Volume 1,
arXiv:2009.04679.
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.
J.-G. Liu, Z. Wang, Y. Zhang and Z. Zhou, Rigorous justification 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.
J.-G. Liu, J. Wang, Y. Zhao and Z. Zhou, Field model for complex ionic fluids: analytical properties and numerical investigation, Communications in computational physics (1815-2406), 06/2021, 30 (3), p. 874.,
arXiv:1912.09208.
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.
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, 1052–1076,
arXiv:1910.11502.
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.
C. Xie, C.J. Garcia-Cervera, C. Wang, Z. Zhou, Z. and J. Chen, Second-order semi-implicit projection methods for micromagnetics simulations, Journal of Computational Physics (2020), 404, p.109104,
arXiv:1907.02358.
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.
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
arXiv: 1811.10995.
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.
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, Scientific Reports (2019), 9(1): 1-9.
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.
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.
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).
J. Lu and Z. Zhou, Accelerated sampling by infinite swapping of path integral molecular dynamics with surface hopping, Journal of Chemical Physics, 148.6 (2018): 064110,
arXiv:1709.06424.
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.
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
arXiv:1701.06494.
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.
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.
J.-G. Liu, Z. Ma and Z. Zhou, Explicit and implicit TVD schemes for conservation laws with Caputo derivatives, Journal of Scientific Computing, 72.1 (2017): 291-313,
arXiv:1610.03025.
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.
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.
J. Lu and Z. Zhou, Frozen Gaussian approximation with surface hopping for mixed quantum-classical dynamics: A mathematical justification of surface hopping algorithms, Mathematics of Computation(2018), 87.313, 2189-2232,
arXiv:1602.06459.
Z. Ma, Y. Zhang and Z. Zhou, An improved semi-Lagrangian time splitting spectral method for the semi-classical Schrödinger equation with vector potentials using NUFFT, Applied Numerical Mathematics, 111 (2017), 144-159.
J. Chen, J.G. Liu and Z. Zhou, On a Schrödinger-Landau-Lifshitz system: Variational structure and numerical methods, Multiscale Modeling and Simulation, 14-4 (2016), 1463-1487.
J. Lu, Z. Zhang and Z. Zhou, Bloch dynamics with second order Berry phase correction, Asymptotic Analysis. Mar2021, p1-30. 30p.,
arXiv:1512.07357.
S. Jin, C. Sparber and Z. Zhou, On the classical limit of a time-dependentself-consistent field system: analysis and computation, Kinetic and related models, 10-1 (2017), 263-298,
arXiv:1406.3810.
Z. Zhou, Numerical approximation of the Schrödinger equation with the electromagnetic field by the Hagedorn wave packets, Journal of Computational Physics, 272 (2014), 386-407.
S. Jin, and Z. Zhou, A semi-Lagrangian time splitting method for the Schrödinger equation with vector potentials, Communications in Information and Systems, 13 (2013), no. 3, 247-289.