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Operator learning frameworks that incorporate physics-based constraints to solve differential equations.
Distinct from Differential Equation Solvers: Combines operator learning with PDE constraints, whereas standard solvers focus on point-wise solutions.
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DeepXDE is a scientific machine learning library and deep learning PDE solver used to compute solutions for forward and inverse ordinary, partial, and integro-differential equations. It functions as a physics-informed neural network library that embeds physical laws and boundary conditions directly into the neural network loss function. The project provides a deep operator network framework for learning operator mappings that approximate relationships between functions in multiphysics problems. It is implemented as a multi-backend tensor library, allowing the system to switch between differen
Combines operator learning with physics-based constraints to solve differential equations across spatial dimensions.
Neuraloperator is a library for learning mappings between infinite-dimensional function spaces, serving as a tool to accelerate physics simulations and partial differential equation solving. It implements resolution-invariant models and spectral neural networks that can produce consistent predictions regardless of the input grid resolution or spatial discretization. The framework incorporates physics-informed neural networks that enforce physical constraints and differential equations through specialized loss functions. It utilizes Fourier transforms and spectral projections to process multid
Provides a library for learning mappings between function spaces to solve differential equations with physics-based constraints.