Abstract: Analytically solving complex or large-scale differential equations is often difficult or even impossible, making numerical integration methods indispensable. However, as all numerical ...

Polynomial equations are a cornerstone of modern science, providing a mathematical basis for celestial mechanics, computer graphics, market growth predictions and much more. But although most high ...

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 ...

Image Restoration with Mean-Reverting Stochastic Differential Equations, ICML 2023. Winning solution of the NTIRE 2023 Image Shadow Removal Challenge.

Have you ever wondered how complex phenomena like fluid flows, heat transfer, or even the formation of patterns in nature can be described mathematically? The answer lies in partial differential ...

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 ...

This paper presents a parameter-uniform numerical method to solve the time dependent singularly perturbed delay parabolic convection-diffusion problems. The solution to these problems displays a ...