Mathematicians finally understand the behavior of an important class of differential equations that describe everything from water pressure to oxygen levels in human tissues.

Neuromorphic computers modeled after the human brain can now solve the complex equations behind physics simulations — something once thought possible only with energy-hungry supercomputers. The ...

Your brain calculates complex physics every day and you don't even notice. This neuromorphic chip taps into the same idea.

When we think about heat traveling through a material, we typically picture diffusive transport, a process that transfers ...

Download the detailed syllabus PDF here. Check the section-wise topics, exam pattern, preparation strategy, and best books.

When we think about heat travelling through a material, we typically picture diffusive transport, a process that transfers heat from high-temperature ...

The Island has recently published various articles on AI, and they are thought-provoking. This article is based on a paper I presented at a London University seminar, 22 years ago. Will computers ever ...

The CBSE Class 12 Mathematics exam will be conducted on March 9, 2026. Experts share how the class 12 students can design a realistic 15-day study timetable for upcoming board exams.

Abstract: This paper focuses on bang-bang and singular optimal controls for problems involving partial differential equations. In particular, singular controls have hardly ever been investigated in ...

This repository contains the code of my master's thesis with the title Physics Informed Machine Learning of Nonlinear Partial Differential Equations (see Thesis.pdf). The class definitions for the ...

To address the sensitivity of parameters and limited precision for physics-informed extreme learning machines(PIELM) with common activation functions, such as sigmoid ...

Computational fluid dynamics (CFD) is a branch of physics that utilizes numerical methods and algorithms to analyze and predict the behavior of fluids and gases under various conditions. This field ...