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所在平台: Udemy |
课程主页: https://www.udemy.com/course/physics-informed-neural-network-pinns/
课程评论：没有评论
**课程名称：** 物理信息神经网络 (PINNs) **课程概述：** 本课程旨在全面教授学员掌握物理信息神经网络 (PINNs) 的应用。课程将从偏微分方程 (PDEs) 的求解基础出发，探讨有限差分法 (Finite Difference Method) 的解法，并重点介绍如何利用 PINNs 求解 PDEs。 **学习技能：** * 理解有限差分法的数学原理。 * 从零开始编写和构建有限差分法算法。 * 理解偏微分方程 (PDEs) 的数学原理。 * 使用 PyTorch 编写和构建用于解决 PINNs 的机器学习算法。 * 使用 DeepXDE 编写和构建用于解决 PINNs 的机器学习算法。 * 学习结果后处理技术。 * 掌握开源库的使用。 **课程内容：** * 有限差分法 (FDM) 数值求解一维热方程。 * 有限差分法 (FDM) 数值求解二维 Burgers 方程。 * 物理信息神经网络 (PINNs) 求解一维 Burgers 方程。 * 物理信息神经网络 (PINNs) 求解二维热方程。 * Deepxde 求解一维热方程。 * Deepxde 求解二维 Navier-Stokes 方程。 **适用对象：** 即使没有机器学习或计算工程背景的学员，本课程也适合。课程内容基础扎实，涵盖机器学习/偏微分方程 (PDEs) 和物理信息神经网络 (PINNs) 的核心知识。 **让我们一起学习PINNs！**
DescriptionThis is a complete course that will prepare you to use Physics-Informed Neural Networks (PINNs). We will cover the fundamentals of Solving partial differential equations (PDEs) and how to solve them using finite difference method as well as Physics-Informed Neural Networks (PINNs).What skills will you Learn:In this course, you will learn the following skills:Understand the Math behind Finite Difference Method.Write and build Algorithms from scratch to sole the Finite Difference Method.Understand the Math behind partial differential equations (PDEs).Write and build Machine Learning Algorithms to solve PINNs using Pytorch.Write and build Machine Learning Algorithms to solve PINNs using DeepXDE.Postprocess the results.Use opensource libraries.We will cover:Finite Difference Method (FDM) Numerical Solution 1D Heat Equation.Finite Difference Method (FDM) Numerical Solution for 2D Burgers Equation.Physics-Informed Neural Networks (PINNs) Solution for 1D Burgers Equation.Physics-Informed Neural Networks (PINNs) Solution for 2D Heat Equation.Deepxde Solution for 1D Heat.Deepxde Solution for 2D Navier Stokes.If you do not have prior experience in Machine Learning or Computational Engineering, that's no problem. This course is complete and concise, covering the fundamentals of Machine Learning/ partial differential equations (PDEs) Physics-Informed Neural Networks (PINNs). Let's enjoy Learning PINNs together.
