Differential equations are fundamental in modeling dynamic systems in physics, biology, and engineering. However, analytical solutions are often difficult or impossible to obtain for complex problems.

This repository contains a Python project focused on image denoising using various numerical methods for solving partial differential equations (PDEs). The project leverages the Perona-Malik ...

Mathematical approaches for numerically solving partial differential equations. The focus will be (a) iterative solution methods for linear and non-linear equations, (b) spatial discretization and ...

A new method, combining complex analysis with numerics, is introduced for solving a large class of linear partial differential equations (PDEs). This includes any linear constant coefficient PDE, as ...

This is a preview. Log in through your library . Abstract The paper deals with a numerical method for solving nonlinear integro-parabolic problems of Fredholm type. A monotone iterative method, based ...

Maxwell's equations form the cornerstone of electromagnetic theory, offering a complete description of how electric and magnetic fields interact with matter. In combination with state‐of‐the‐art ...

A mathematician has developed new methods for the numerical solution of ordinary differential equations. These so-called multirate methods are highly efficient for large systems, where some components ...