作者提出了一种新的基于残差的自适应细化(RAR)方法来提高PINN的训练效率。同时,介绍了一个用于PINN的Python库——DeepXDE,该库可以解决正向问题和反向问题,支持复杂几何域,并具有用户友好性。 4.Solving partial differential equations using deep learning and physical constr
3.DeepXDE: A deep learning library for solving differential equations 用于解决微分方程的深度学习库 简述:论文介绍了一种基于深度学习的解决微分方程的方法——物理信息神经网络(PINN)。该方法将偏微分方程嵌入神经网络的损失函数中,并通过自动微分进行求解。作者提出了一种新的基于残差的自适应细化(RAR)方法来提高...
"DeepXDE: A deep learning library for solving differential equations." SIAM Review 63.1 (2021): 208-228. 好了,先小结一下以上内容。 大家都知道PINN是一种(深度)网络,在定义时空区域中给定一个输入点,在训练后在微分方程的该点中产生估计的解。 结合对控制方程的嵌入得到残差,利用残差构造损失项就是PINN...
Deep learning library for solving differential equations on top of PyTorch. pythonmachine-learningdeep-learningneural-networkpytorchscientific-computingneural-networkspdepinnpde-solver UpdatedJul 30, 2020 Python A curated list of awesome Scientific Machine Learning (SciML) papers, resources and software ...
Python0MIT100UpdatedDec 17, 2018 acmedocsPublic API Documentation for Acme Bank App Server JavaScript0MIT000UpdatedDec 1, 2018 oas3Public Python Library for the Open API Specification v3 flasggerPublicForked fromflasgger/flasgger Easy OpenAPI specs and Swagger UI for your Flask API ...
DeepXDE library:https://deepxde.readthedocs.io/en/latest/ PINNs Repository 1:https://github.com/...
1.PINN 参考文献:Physics-informed neural networks(PINNs) for fluid mechanics: A review PINN示意图 我们考虑一个参数化偏微分方程(PDE)系统 f(x,t,u^,∂xu^,∂tu^,…,λ)=0,x∈Ω,t∈[0,T]u^(x,t0)=g0(x)x∈Ωu^(x,t)=gΓ(t),x∈∂Ω,t∈[0,T], ...
Be sure to improve the code of your favorite library. Update code: all the libraries will keep on being updated, hence the code here will need regular updates. Improve the benchmark coverage: more PDE problems, more libraries, more tests on different devices would be welcome....
📂pinngabor: python library containing the main code and utils; 📂asset: folder containing logo; 📂data: folder containing data; 📂scripts: set of python scripts used to run multiple experiments. Getting started 👾 🤖 To ensure reproducibility of the results, we suggest using thepinnhas...