Convergence rate of DeepONets for learning operators arising from advection-diffusion equations

02/21/2021

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by   Beichuan Deng, et al.

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We present convergence rates of operator learning in [Chen and Chen 1995] and [Lu et al. 2020] when the operators are solution operators of differential equations. In particular, we consider solution operators of both linear and nonlinear advection-diffusion equations.