This repository contains a university-level project focused on the numerical resolution of Partial Differential Equations (PDEs). It explores different mathematical models (transport, diffusion, heat ...

This repository demonstrates a set of numerical methods implemented in Python, using high-precision arithmetic provided by GMPY2. It covers several mathematical problems including root-finding for ...

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 ...

⦁ Numerical solution of ordinary differential equations (e.g. Euler, Runge-Kutta and Python solvers) * Finite difference methods for numerical solutions of partial differential equations.

The paper deals with a numerical method for solving nonlinear integro-parabolic problems of Fredholm type. A monotone iterative method, based on the method of upper and lower solutions, is constructed ...

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 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 ...