PINN Made Easy

PINN Made Easy
What is Physics-Informed Neural Network (PINN) exactly?  Suppose a physical problem is defined in terms of a PDE. Traditional numerical methods such as finite difference or Runge-Kutta discretize the PDE and solve it on a mesh to find a solution. However, this approach can be computationally expensive for complex geometries or high dimensions. With the advancement of artificial intelligence, a type of neural network known as Physics-Informed Neural Networks (PINNs) has …
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Implementing Random Fields in MATLAB: A Step-by-Step Guide

Implementing Random Fields in MATLAB: A Step-by-Step Guide
The random field is a significant concept with diverse applications, especially in geotechnical engineering. When dealing with soil layers, there is often limited information available regarding the distribution of soil characteristics within the soil profile. Consequently, accurately modeling the current state of the soil may prove difficult. In such scenarios, a viable solution is to employ a random field to represent the spatial variability of soil characteristics in a random …
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