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 ...

- Implements one of 2 integration methods: Trapezoidal Integration and Runge-Kutta 4th Order (RK4) Integration - Customizable integration step sizes - Integration with CSDL framework ...

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 ...

Abstract: The numerical solution of coupled partial differential equations (PDEs) represents a significant challenge for traditional methods such as the finite element method (FEM), particularly in ...

An intermediate level course in the analytical and numerical study of ordinary differential equations, with an emphasis on their applications to the real world. Exact solution methods for ordinary ...

A new class of one-step methods for the numerical solution of neutral functional differential equations is considered. These methods can be taken to have arbitrarily high order. This should be ...