Quanta Magazine

Using AI, Mathematicians Find Hidden Glitches in Fluid Equations

A $1 million prize awaits anyone who can show where the math of fluid flow breaks down. With specially trained AI systems, ...
GitHub

Capacitated Vehicle Routing Problem with Time Windows (CVRPTW)

This repository provides a solution to the standard Capacitated Vehicle Routing Problem with Time Windows (CVRPTW). In a CVRPTW, we aim to optimize the routes of a fleet of vehicles serving customers ...
Science Daily

These mesmerizing patterns are secretly solving hard problems

Tessellations aren’t just eye-catching patterns—they can be used to crack complex mathematical problems. By repeatedly ...
IEEE

A neural network-based method for solving a class of high-order nonlinear partial differential equations

Abstract: In this paper, a novel approach leveraging artificial neural networks is introduced to approximate solutions for partial differential equations. The one ...
IEEE

Overcoming the Spectral Bias Problem of Physics-Informed Neural Networks in Solving the Frequency-Domain Acoustic Wave Equation

Abstract: Physics-informed neural networks (PINNs) have recently been utilized to tackle wave equation-based forward and inverse problems. However, they encounter challenges in accurately predicting ...
The New York Times

Who Can Solve Iran’s Many Problems? Not I, Says the President.

Amid sky-high inflation, water and energy cuts and prospects for a deal with the U. S. dimming, President Masoud Pezeshkian has apparently thrown up his hands. By Farnaz Fassihi and Leily Nikounazar ...