Learning nonlinear operators via DeepONet based on the universal approximation theorem of operators
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Learning the solution operator of parametric partial differential equations with physics-informed DeepONets

DeepOnet: Learning nonlinear operators based on the universal approximation theorem of operators.

NEW PROGRESS IN INTELLIGENT SOLUTION OF NEURAL OPERATORS AND PHYSICS-INFORMED-BASED METHODS

In-context operator learning with data prompts for differential equation problems

Learning the solution operator of parametric partial differential equations with physics-informed DeepONets

Learning the solution operator of parametric partial differential equations with physics-informed DeepONets

Enhanced DeepONet for Modeling Partial Differential Operators Considering Multiple Input Functions

DeepOnet: Learning nonlinear operators based on the universal approximation theorem of operators

Learning nonlinear operators via DeepONet based on the universal approximation theorem of operators

A seamless multiscale operator neural network for inferring bubble dynamics, Journal of Fluid Mechanics

PDF) DeepONet: Learning nonlinear operators for identifying differential equations based on the universal approximation theorem of operators

Physics-Informed Deep Neural Network for Backward-in-Time Prediction: Application to Rayleigh–Bénard Convection in: Artificial Intelligence for the Earth Systems Volume 2 Issue 1 (2023)

Why do we need physics-informed machine learning (PIML)?, by Shuai Zhao
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