no code implementations • 18 Jul 2023 • Yongji Wang, Ching-Yao Lai
We demonstrate that the prediction error from the multi-stage training for both regression problems and physics-informed neural networks can nearly reach the machine-precision $O(10^{-16})$ of double-floating point within a finite number of iterations.
no code implementations • 18 Jan 2022 • Yongji Wang, Ching-Yao Lai, Javier Gómez-Serrano, Tristan Buckmaster
Whether there exist finite time blow-up solutions for the 2-D Boussinesq and the 3-D Euler equations are of fundamental importance to the field of fluid mechanics.
