Tessellations aren’t just eye-catching patterns—they can be used to crack complex mathematical problems. By repeatedly reflecting shapes to tile a surface, researchers uncovered a method that links ...

This is the 2nd part of a two course graduate sequence in analytical methods to solve partial differential equations of mathematical physics. Review of Separation of variables. Laplace Equation: ...

Since the launch of the Crossword in 1942, The Times has captivated solvers by providing engaging word and logic games. In 2014, we introduced the Mini Crossword — followed by Spelling Bee, Letter ...

Poisson PDE Solver with PETSc This project solves the two-dimensional Poisson equation on a unit square using second-order finite differences. Two implementations are provided: A Python reference ...

Abstract: This paper presents a quantum computing framework to solve a system of nonlinear ordinary differential equations (ODEs) used in the power system dynamic analysis. The framework exploits the ...

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 ...