Burigede Liu

1. Fourier Neural Operator for Parametric Partial Differential Equations
   2020/10/18 by Zongyi Li, Nikola Kovachki, Li, Zongyi +12 · 2 voices · 431 citations
   Earth and Planetary Sciences · Engineering · Physics and Astronomy · #Fluid Dynamics and Turbulent Flows #Meteorological Phenomena and Simulations #Model Reduction and Neural Networks #cs.LG #math.NA
2. Neural Operator: Graph Kernel Network for Partial Differential Equations
   2020/03/07 by Zongyi Li, Li, Zongyi, Nikola Kovachki +11 · 93 citations
   Computer Science · Physics and Astronomy · #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Machine Learning in Healthcare #Model Reduction and Neural Networks #Neural Networks and Applications #Numerical Analysis (math.NA)
3. Physics-Informed Neural Operator for Learning Partial Differential Equations
   2021/11/06 by Zongyi Li, Li, Zongyi, Hongkai Zheng +13 · 77 citations
   Engineering · Physics and Astronomy · #FOS: Computer and information sciences #FOS: Mathematics #Fluid Dynamics and Turbulent Flows #Machine Learning (cs.LG) #Model Reduction and Neural Networks #Nuclear Engineering Thermal-Hydraulics #Numerical Analysis (math.NA)
4. Multipole Graph Neural Operator for Parametric Partial Differential Equations
   2020/06/16 by Zongyi Li, Nikola Kovachki, Li, Zongyi +11 · 39 citations
   Physics and Astronomy · Engineering · Computer Science · #Model Reduction and Neural Networks #Electromagnetic Simulation and Numerical Methods #Computational Physics and Python Applications
5. Learning Markovian Homogenized Models in Viscoelasticity
   2022/05/27 by Kaushik Bhattacharya, Bhattacharya, Kaushik, Burigede Liu +5 · 3 citations
   Computer Science · Engineering · Physics and Astronomy · #Advanced Mathematical Modeling in Engineering #Composite Material Mechanics #Model Reduction and Neural Networks
6. A Learning-Based Optimal Uncertainty Quantification Method and Its Application to Ballistic Impact Problems
   2022/12/28 by Xingsheng Sun, Burigede Liu, Sun, Xingsheng +1 · 2 citations
   Decision Sciences · Engineering · #Concrete Corrosion and Durability #FOS: Computer and information sciences #FOS: Physical sciences #Fault Detection and Control Systems #Machine Learning (cs.LG) #Materials Science (cond-mat.mtrl-sci) #Probabilistic and Robust Engineering Design
7. A Learning-based Domain Decomposition Method
   2025/07/23 by Rui Wu, Nikola Kovachki, Wu, Rui +3 · 2 citations
   Engineering · Physics and Astronomy · #Composite Material Mechanics #FOS: Computer and information sciences #FOS: Physical sciences #Machine Learning (cs.LG) #Mathematical Physics (math-ph) #Model Reduction and Neural Networks #Numerical methods in engineering
8. Neural operators solve inverse problems for constitutive model discovery
   2026/07/16 by Moritz Flaschel, Burigede Liu, Ellen Kuhl
   #cs.CE #cond-mat.mtrl-sci