不积跬步,无以至千里;不积小流,无以成江海。A journey of one thousand miles can never be made without the accumulation of every single step;An ocean can never be vast without the contribution of every single stream and brook.
Lizuo Liu, Tongtong Li, Anne Gelb, and Yoonsang Lee, Entropy stable conservative flux form neural networks, arXiv: 2411.01746, 2024
Bo Wang, Heng Yuan, Lizuo Liu, Wenzhong Zhang, and Wei Cai, On the convergence of the multi-scale deep neural network (mscalednn) in approximating oscillatory functions, arXiv: 2212.03416, 2022
Lizuo Liu and Wei Cai, DeepPropNet – A recursive deep propagator neural network for learning evolution PDE operators, arXiv: 2202.13429, 2022
Lizuo Liu, Kamaljyoti Nath, and Wei Cai, A causality-deeponet for causal responses of linear dynamical systems, Communications in Computational Physics., 35 (5). 1194-1228, (2024)
Lizuo Liu, Bo Wang, and Wei Cai, Linearized learning methods with multiscale deep neural networks for stationary Navier-Stokes equations with oscillatory solutions, East Asian Journal on Applied Mathematics, 13 (3). 740-758, (2023)
Wei Cai, Xiaoguang Li, and Lizuo Liu, A phase shift deep neural network for high frequency approximation and wave problems, SIAM Journal on Scientific Computing, 42:A3285–A3312, (2020)
Junchao Gao, Franklin Li Duan, Chang Yu, Wentao Meng, Lizuo Liu, Guifu Ding, Congchun Zhang, and Ying Wang., Electrical insulation of ceramic thin film on metallic aero-engine blade for high temperature sensor applications, Ceramics International, 42(16):19269–19275, (2016)
Award on SIAM Conference on Mathematics of Data Science, San Diego, CA
September 26 — 30, 2022
Award on School of Mathematics Sciences, Shanghai Jiao Tong University
2018
Teaching Assistant, Department of Mathematics, Southern Methodist University
January, 2019 — May, 2020
Atlanta, GA
October 20 - 25, 2024
Dartmouth College, Hanover, NH
June 17 — 19, 2024
Purdue University, West Lafayette, IN
March 26 — 27, 2022
UTRGV, South Padre Island, TX
November 5 — 7, 2021
Department of Mathematics, Southern Methodist University
March, 2020 — December, 2022
Atlanta, GA
October 20 - October 25, 2024
Hanover, NH
June 17- June 19, 2024
Newark, NJ
October 20 - October 22, 2023
30 minutes minisymposium, SIAM Conference on Mathematics of Data Science
San Diego, CA
September 26 — 30, 2022
30 minutes minisymposium, SIAM Conference on Uncertainty Quantification
Atlanta, GA
April 12 — 15, 2022
15 minutes contributed talk, AMS Spring Central Sectional Meeting
Purdue University, West Lafayette, IN
March 26 — 27, 2022
30 minutes minisymposium, 4th Annual Meeting of the SIAM Texas-Louisiana Section
UTRGV, South Padre Island, TX
November 5 — 7, 2021
15 minutes contributed talk, 16th U.S. National Congress on Computational Mechanics
Chicago, IL
July 25 — 29, 2021
30 minutes minisymposium, 3rd Annual Meeting of the SIAM Texas-Louisiana Section
College Station, TX
October 16 — 18, 2020