From 95d3ff2c3dd77937d116d233d8f2a6450db4b256 Mon Sep 17 00:00:00 2001 From: Reza Akbarian Bafghi Date: Wed, 22 May 2024 20:30:24 -0600 Subject: [PATCH] Update README.md --- README.md | 2 ++ 1 file changed, 2 insertions(+) diff --git a/README.md b/README.md index 4b186f41..8faaf8ff 100644 --- a/README.md +++ b/README.md @@ -1,5 +1,7 @@ # [Physics Informed Neural Networks](https://maziarraissi.github.io/PINNs/) +> **Notice:** This repository is no longer under active maintenance. It is highly recommended to utilize implementations of Physics-Informed Neural Networks (PINNs) available in [PyTorch](https://github.com/rezaakb/pinns-torch), [JAX](https://github.com/rezaakb/pinns-jax), and [TensorFlow v2](https://github.com/rezaakb/pinns-tf2). + We introduce physics informed neural networks – neural networks that are trained to solve supervised learning tasks while respecting any given law of physics described by general nonlinear partial differential equations. We present our developments in the context of solving two main classes of problems: data-driven solution and data-driven discovery of partial differential equations. Depending on the nature and arrangement of the available data, we devise two distinct classes of algorithms, namely continuous time and discrete time models. The resulting neural networks form a new class of data-efficient universal function approximators that naturally encode any underlying physical laws as prior information. In the first part, we demonstrate how these networks can be used to infer solutions to partial differential equations, and obtain physics-informed surrogate models that are fully differentiable with respect to all input coordinates and free parameters. In the second part, we focus on the problem of data-driven discovery of partial differential equations. For more information, please refer to the following: (https://maziarraissi.github.io/PINNs/)