A Russian mathematician has developed a new method for analyzing a class of equations that underpin models in physics and ...

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 ...

Abstract: Neural operators, such as graph neural operators (GNOs) and Fourier neural operators (FNOs), directly learn the mapping from any functional parametric dependence to the solution and have ...

Abstract: Solving partial differential equations is a key focus of research in scientific computing. Traditional neural operator methods often face challenges in capturing both global features and ...

Americans in 2024 lost nearly $250 million to scams that used Bitcoin ATMs In June 2024, when Fran Bates entered a Fort Worth-area gas station, she thought the voice on the other end of the phone was ...

ABSTRACT: In this paper, a spacecraft system is investigated. The system is formulated by partial differential equations with the initial and the boundary conditions. The spectral analysis and ...

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 ...

Researchers have made a breakthrough in the ability to solve engineering problems. In a new paper published in Nature entitled, “A scalable framework for learning the geometry-dependent solution ...