The math of even the simplest ocean waves is notoriously uncooperative. A team of Italian mathematicians has made major ...

In a recent study, mathematicians from Freie Universität Berlin have demonstrated that planar tiling, or tessellation, is much more than a way to create a pretty pattern. Consisting of a surface ...

Differential equations are fundamental tools in physics: they are used to describe phenomena ranging from fluid dynamics to general relativity. But when these equations become stiff (i.e. they involve ...

Researchers from the Institute of Cosmos Sciences of the University of Barcelona (ICCUB) have developed a new framework based on machine learning ...

A team of international physicists has brought Bayes’ centuries-old probability rule into the quantum world. By applying the ...

Researchers have developed an AI system called Dr. CaBot that spells out its reasoning as it works through challenging ...

The internet is torn over an elementary-level math equation which left many scratching their heads. The viral math problem has X users stumped - but the answer comes from lessons learned in fifth or ...

Abstract: By leveraging neural networks, the emerging field of scientific machine learning (SciML) offers novel approaches to address complex problems governed by partial differential equations (PDEs) ...

Abstract: Over the years, analysis of Singularly Boundary Value Problems have been achieved by applying various methods and or techniques. Fundamental issues have been on the existence and uniqueness ...

The course provides a thorough introduction to design, analysis (both theoretical and empirical), and programming of difference and elemental methods to solve differential equations. In addition, the ...

This repository contains the implementation of Neural Delay Differential Equations (NDDEs), a deep neural network framework designed to solve both forward and inverse problems related to delay ...