3 papers
cs.LG2024
Learning time-dependent PDE via graph neural networks and deep operator network for robust accuracy on irregular grids
Sung Woong Cho, Jae Yong Lee, Hyung Ju Hwang
Scientific computing using deep learning has seen significant advancements in recent years. There has been growing interest in models that learn the operator from the parameters of…
cs.LG2023
HyperDeepONet: learning operator with complex target function space using the limited resources via hypernetwork
Jae Yong Lee, Sung Woong Cho, Hyung Ju Hwang
Fast and accurate predictions for complex physical dynamics are a significant challenge across various applications. Real-time prediction on resource-constrained hardware is even m…
math.NA2021
Traveling Wave Solutions of Partial Differential Equations via Neural Networks
Sung Woong Cho, Hyung Ju Hwang, Hwijae Son
This paper focuses on how to approximate traveling wave solutions for various kinds of partial differential equations via artificial neural networks. A traveling wave solution is h…