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 ...

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 ...

A library for solving differential equations using neural networks based on PyTorch, used by multiple research groups around the world, including at Harvard IACS.

Abstract: Solving partial differential equations (PDEs) is a fundamental task for computational electromagnetic and mechanical wave modeling, which hold utmost significance in remote sensing and ...

Abstract: Vector analysis is a mathematical concept powerful enough to represent various theories, notions, and concepts under engineering and physics. This project focuses on specific operations in ...

This repository contains a collection of Python scripts and Jupyter notebooks for practicing numerical methods commonly used in scientific computing and engineering applications. The exercises cover a ...

The paper aims to utilize an integral transform, specifically the Khalouta transform, an abstraction of various integral transforms, to address fractional differential equations using both ...

Differential equations are equations that involve an unknown function and its derivatives with respect to one or more independent variables. They play a fundamental role in various fields of science, ...