Jizu Huang - Publications

Working Papers

[J] J.Z. Huang, R.K. You, and T. Zhou, Frequency-adaptive tensor neural networks for high-dimensional multi-scale problems, preprint.

[J] J.Y. He, Z.H. Sun, and J.Z. Huang, Derivatives of tree tensor networks and its applications in Runge–Kutta methods, submitted.

[J] J.Z. Huang, R.K. You, and T. Zhou, Deep learning for the semi-classical limit of the Schrodinger equation, submitted.

[J] J.Q. Zhang, J.Z. Huang, and Z.H. Yang, Random batch list method for metallic system with embedded atom potential, submitted.

[J] Z.H. Sun, J.Z. Huang, C.F. Xiao, and C. Yang, HaTT: Hadamard avoiding tensor train recompression and its applications, submitted.

Selected Journal Papers

2025

[J36] Z.T. Zhu, C.F. Xiao*, K.J. Tang, J.Z. Huang（黄记祖）, and C. Yang, APTT: An accuracy-preserved tensor-train decomposition method for the Boltzmann-BGK equation, SIAM Journal on Scientific Computing, (2025) (to appear).

[J35] C.D. Ma, J.Z. Huang（黄记祖）, and C. Yang*, CPAFT: A consistent parallel advancing front technique for unstructured triangulartetrahedral mesh generation/, Computer Physics Communications, 310 (2025), p. 109535.

[J34] J.Z. Huang（黄记祖）, R.K. You*, and T. Zhou, Frequency-adaptive multi-scale deep neural networks, Computer Methods in Applied Mechanics and Engineering, 437 (2025), p. 117751.

[J33] C.Q. Ye, S.B. Fu*, E. Chung, and J.Z. Huang（黄记祖）, A highly parallelized multiscale preconditioner for Darcy flow in high-contrast media, Journal of Computational Physics, 522 (2025), p. 113603.

2024

[J31] C.Q. Ye, S.B. Fu, E. Chung, and J.Z. Huang（黄记祖）, A robust two-level overlapping preconditioner for Darcy flow in high-contrast media, SIAM Journal on Scientific Computing, 46 (5) (2024), pp. A3151-A3176.

[J30] R. He, Y.F. Chen, Z.H. Yang*, J.Z. Huang（黄记祖）*, and X.F. Guan, Phase field smoothing-PINN: a neural network solver for partial differential equations with discontinuous coefficients, Computers & Mathematics with Applications, 171 (2024), pp. 188–203.

[J29] T.P. Chen, H.J. Yang*, J.Z. Huang（黄记祖）, and C. Yang, Adaptive space-time domain decomposition for multiphase flow in porous media with bound constraints, SIAM Journal on Scientific Computing, 46(3) (2024), pp. B306-B330.

[J28] Z.B. Lu and J.Z. Huang（黄记祖）*, A multiscale asymptotic expansion for combustion system with composite materials, Journal of Computational and Applied Mathematics, 441 (2024), p. 115678.

2023

[J27] T.P. Cheng, H.J. Yang*, J.Z. Huang（黄记祖）, and C. Yang*, Nonlinear parallel-in-time simulations of multiphase flow in porous media, Journal of Computational Physics, 494 (2023), p. 112515.

[J26] Z.H. Yang, X.T. Wang, X.F. Guan, J.Z. Huang（黄记祖）*, and X.X. Wu, A normalizing field flow induced two-stage stochastic homogenization method for non-stationary random composite materials, Communications in Computational Physics, 34 (3) (2023), pp. 787-812.

[J25] H.J. Zhao, H.J. Yang*, and J.Z. Huang（黄记祖）, Parallel generalized Lagrange–Newton method for fully coupled solution of PDE-constrained optimization problems with bound-constraints, Applied Numerical Mathematics, 184 (2023), pp. 219–233.

2022

[J24] Z.H. Yang, J.Z. Huang（黄记祖）*, X.B. Feng, and X.F. Guan, An efficient multi-modes Monte Carlo homogenization method for random materials, SIAM Journal on Scientific Computing, 44(3) (2022), pp. A1752-A1774.

2021

[J23] Z.Y. Wang, Q.L. He*, and J.Z. Huang（黄记祖）*, The immersed boundary-lattice Boltzmann method for solving solid-fluid interaction problem with Navier-slip boundary condition, Computers & Fluids, 217 (2021), p. 104839.

[J22] H.J. Yang, C. Yang*, and J.Z. Huang（黄记祖）, Variational inequality transport model on the sphere by the active-set reduced-space algorithm, Computer Physics Communications, 260 (2021), p. 07739.

[J21] J.L. Zhang, J.Z. Huang（黄记祖）*, K. Wang, and X. Wang, Error estimate on the tanh meshes for the time fractional diffusion equation, Numerical Methods for Partial Differential Equations, 37(3) (2021), pp. 2046-2066.

2020

[J20] S.K. An, J.Z. Huang（黄记祖）*, and L. Wan*, D-EE: a distributed software for visualizing intrinsic structure of large-scale single-cell data, GigaScience, 9 (11), giaa126.

[J19] C.P. Ma*, J.Z. Huang（黄记祖）, L.Q. Cao, and Y.P. Lin, Multiscale computations for the Maxwell–Schrodinger system in heterogeneous nanostructures, Communications in Computational Physics, 27(5) (2020), pp. 1443-1469.

[J18] J.Z. Huang（黄记祖）, C. Yang*, and Y. Wei, Parallel energy-stable solver for a coupled Allen–Cahn and Cahn–Hilliard system, SIAM Journal on Scientific Computing, 42 (5) (2020), pp. C294-C312.

2019

[J17] R.L. Chen, J.Z. Huang（黄记祖）, and X.-C. Cai*, A parallel domain decomposition algorithm for large scale image denoising, Inverse Problems and Imaging, 13(6) (2019), pp. 1259-1282.

[J16] K. Wang*, Y.S. Wong, and J.Z. Huang（黄记祖）, Analysis of pollution-free approaches for multi-dimensional Helmholtz equations, International Journal of Numerical Analysis and Modeling, 16 (2019), pp. 412-435.

[J15] Q.L. Dong*, J.Z. Huang（黄记祖）, X.H. Li, Y.J. Cho, and Th. M. Rassias, MiKM: Multi-step inertial Krasnosel'skii-Mann algorithm and its applications, Journal of Global Optimization, 73 (2019), pp. 801-824.

[J14] C.P. Ma, L.Q. Cao, and J.Z. Huang（黄记祖）, Analysis of a fully discrete finite element method for the Maxwell-Schrodinger system in the coulomb gauge, International Journal of Numerical Analysis and Modeling, 16 (2019), pp.139-166.

[J13] Y. Wei, C. Yang*, and J.Z. Huang（黄记祖）, Parallel energy-stable phase field crystal simulations based on domain decomposition methods, Computer Physics Communications, 234 (2019), pp. 26-39.

2018

[J12] K. Wang and J.Z. Huang（黄记祖）*, A fast algorithm for the Caputo fractional derivative, East Asian Journal on Applied Mathematics, 8 (2018), pp. 656-677.

[J11] Q.L. Dong*, L.Q. Cao, X. Wang, and J.Z. Huang（黄记祖）, Multiscale numerical algorithms for elastic wave equations with rapidly oscillating coefficients, Applied Mathematics and Computation, 336 (2018), pp. 16-35.

[J10] J.Z. Huang（黄记祖） and X.-P. Wang*, A lattice Boltzmann model for multiphase flows with moving contact line and variable density, Journal of Computational Physics, 353 (2018), pp. 26-45.

2017

[J9] L. Yin, C. Yang, S.Z. Ma, J.Z. Huang（黄记祖）, and Y. Cai, Parallel numerical simulation of the thermal convection in the earth’s outer core on the cubed-sphere, Geophysical Journal International, 209 (2017), pp. 1934-1954.

[J8] K. Wang*, Y.S. Wong, and J.Z. Huang（黄记祖）, Solving Helmholtz equation at high wave numbers in exterior domains, Applied Mathematics and Computation, 298 (2017), pp. 221-235.

2016

[J7] C. Li, J.Z. Huang（黄记祖）, and *Z.G. Li*, A Relation for Nanodroplet Diffusion on Smooth Surfaces, Scientific reports, 2016, 6: 26488.

[J6] J.Z. Huang（黄记祖）, C. Yang, and X.-C. Cai*, A nonlinearly preconditioned inexact Newton algorithm for steady state lattice Boltzmann equations, SIAM Journal on Scientific Computing, 38-3 (2016), pp. A1701-A1724.

2015

[J5] J.Z. Huang（黄记祖）, L.Q. Cao*, and C. Yang, A multiscale algorithm for radiative heat transfer equation with rapidly oscillating coefficients, Applied Mathematics and Computation, 266 (2015), pp. 149-168.

[J4] J.Z. Huang（黄记祖）, C. Yang, and X.-C. Cai*, A fully implicit method for lattice Boltzmann equations, SIAM Journal on Scientific Computing, 37-5 (2015), pp. S291-S313.

2014

[J3] J.Z. Huang（黄记祖） and L.Q. Cao*, Global regularity and multiscale approach for thermal radiation heat transfer, Multiscale Modeling and Simulation, 12 (2014), pp. 694-724.

2012

[J2] A. Trinchi, Y. S. Yang, J.Z. Huang（黄记祖）, P. Falcaro, D. Busoand and L. Q. Cao, Study of 3D composition in a nanoscale sample using data constrained modelling and multi-spectrum X-ray CT, Modelling and Simulation in Materials Science and Engineering, 20 (2012), 015013 (11pp).

[J1] J.Z. Huang（黄记祖）, L.Q. Cao*, and S. Yang, A molecular dynamics-continuum coupled model for heat transfer in composite materials, Multiscale Modeling and Simulation, 10 (2012), pp. 1292-1316.

Selected Conference Papers

[C1] J.Z. Huang（黄记祖）, C. Yang and X.-C. Cai, Simulation of cavity flows by an implicit domain decompositionalgorithm for the lattice Boltzmann equations, Domain Decomposition Methods in Science and Engineering XXII, 2013, pp. 275-283.