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Publications

Journal articles

  1. Wenzhong Zhang, Bo Wang and Wei Cai, Exponential convergence for multipole and local expansions and their translations for sources in layered media: 2-D acoustic wave, SIAM J. Numer. Anal. 58 (3), 1440-1468, 2020. [DOI]

  2. Bo Wang, Wenzhong Zhang and Wei Cai, Fast multipole method for 3-D Helmholtz equation in layered media, SIAM J. Sci. Comput. 41 (6), A3954–A3981, 2019. [DOI]

  3. Bo Wang, Wenzhong Zhang and Wei Cai, Multi-scale deep neural network (MscaleDNN) methods for oscillatory Stokes flows in complex domains, Commun. Comput. Phys. 28, 2139–2157, 2020. [DOI]

  4. Bo Wang, Wenzhong Zhang and Wei Cai, Fast multipole method for 3-D Laplace equation in layered media, Comput. Phys. Commun. 259, 107645, 2021. [DOI]

  5. Bo Wang, Wenzhong Zhang and Wei Cai, Fast multipole method for 3-D Poisson–Boltzmann equation in layered electrolyte-dielectric media, J. Comp. Phys. 439, 110379, 2021. [DOI]

  6. Bo Wang, Duan Chen, Bo Zhang, Wenzhong Zhang, Min Hyung Cho and Wei Cai, Taylor expansion based fast multipole methods for 3-D Helmholtz equations in layered media, J. Comp. Phys. 401, 109008, 2020. [DOI]

Preprints

  1. Wenzhong Zhang and Wei Cai, FBSDE based neural network algorithms for high-dimensional quasilinear parabolic PDEs, arXiv: 2012.07924, 2020.

  2. Wenzhong Zhang, Bo Wang and Wei Cai, A matrix basis formulation for the Green's functions of Maxwell's equations and the elastic wave equations in layered media, arXiv: 2008.01047, 2020.

  3. Wenzhong Zhang, Wei Cai and Bo Wang, Exponential convergence for multipole and local expansions and their translations for sources in layered media: three-dimensional Laplace equation, arXiv: 2008.00571, 2020.