no code implementations • 16 Mar 2024 • Christophe Bonneville, Xiaolong He, April Tran, Jun Sur Park, William Fries, Daniel A. Messenger, Siu Wun Cheung, Yeonjong Shin, David M. Bortz, Debojyoti Ghosh, Jiun-Shyan Chen, Jonathan Belof, Youngsoo Choi
Numerical solvers of partial differential equations (PDEs) have been widely employed for simulating physical systems.
1 code implementation • 2 Dec 2023 • Christophe Bonneville, Youngsoo Choi, Debojyoti Ghosh, Jonathan L. Belof
Traditional partial differential equation (PDE) solvers can be computationally expensive, which motivates the development of faster methods, such as reduced-order-models (ROMs).
1 code implementation • 10 Aug 2023 • Christophe Bonneville, Youngsoo Choi, Debojyoti Ghosh, Jonathan L. Belof
By interpolating and solving the ODE system in the reduced latent space, fast and accurate ROM predictions can be made by feeding the predicted latent space dynamics into the decoder.