Behind the long-term climate projections that affect our lives sits one of the most remarkable scientific achievements of the modern era.

A Russian mathematician has developed a new method for analyzing a class of equations that underpin models in physics and economics and are considered "eternal" as they have challenged researchers for ...

Nearly 200 years ago, the physicists Claude-Louis Navier and George Gabriel Stokes put the finishing touches on a set of equations that describe how fluids swirl. And for nearly 200 years, the ...

Adequate mathematical modeling is the key to success for many real-world projects in engineering, medicine, and other applied areas. Once a well-suited model is established, it can be thoroughly ...

The problem has vexed Boston leaders, public health officials and police for years: How best to address the interwoven issues of homelessness and public drug use that collide near the intersection of ...

This repository contains code for the paper: "Enabling Local Neural Operators to perform Equation-Free System-Level Analysis" G. Fabiani, H. Vandecasteele, S. Goswami, C. Siettos, I.G. Kevrekidis ...

A UNSW Sydney mathematician has discovered a new method to tackle algebra's oldest challenge—solving higher polynomial equations. Polynomials are equations involving a variable raised to powers, such ...

One of the pitches for investing heavily in AI—especially resource-intensive versions such as large language models (LLMs)—is the argument that these powerful technologies have the potential to help ...

Creative Commons (CC): This is a Creative Commons license. Attribution (BY): Credit must be given to the creator. Population balance equation (PBE) models have the potential to automate many ...

Abstract: This paper focuses on the performance analysis of time-varying fading channels, introducing a new general metric called fade duration. Fade duration measures the time during which a signal ...