This project solves the two-dimensional Poisson equation on a unit square using second-order finite differences. Two implementations are provided: A Python reference solver that relies on NumPy and ...

This project implements a solver for the lid-driven cavity flow problem using Physics-Informed Neural Networks (PINNs). The approach uses a neural network to represent the solution and enforces the ...

Abstract: Physics-Informed Neural Networks (PINNs) have recently emerged as a powerful method for solving differential equations by leveraging machine learning techniques. However, while neural ...

Troy Segal is an editor and writer. She has 20+ years of experience covering personal finance, wealth management, and business news. Andy Smith is a Certified Financial Planner (CFP®), licensed ...