13 citations · 13 across the 2 of their papers we have counts for
3 papers
Weak error analysis for strong approximation schemes of SDEs with super-linear coefficients
Xiaojie Wang, Yuying Zhao, Zhongqiang Zhang
We present an error analysis of weak convergence of one-step numerical schemes for stochastic differential equations (SDEs) with super-linearly growing coefficients. Following Mils…
Convergence rate of DeepONets for learning operators arising from advection-diffusion equations
Beichuan Deng, Yeonjong Shin, Lu Lu +2
We present convergence analysis of operator learning in [Chen and Chen 1995] and [Lu et al. 2020], where continuous operators are approximated by a sum of products of branch and tr…
hp-VPINNs: Variational Physics-Informed Neural Networks With Domain Decomposition
Ehsan Kharazmi, Zhongqiang Zhang, George Em Karniadakis
We formulate a general framework for hp-variational physics-informed neural networks (hp-VPINNs) based on the nonlinear approximation of shallow and deep neural networks and hp-ref…