We analyze three one parameter families of approximations and show that they are symplectic in Lagrangian sence and can be related to symplectic schemes in Hamiltonian sense by different symplectic ...

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 ...

Topics include methods of solutions for linear and non-linear first order differential equations, linear second order differential equations, higher order linear differential equations, systems of ...

Laboratory of Operator Theory and EDP: Foundations and Applications, Department of Mathematics, Faculty of Exact Sciences, University of El-Oued, P. O. Box 789, El Oued 39000, Algeria ...

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 ...

This repository showcases two major projects developed during the course Numerical Methods for PDEs, aiming to solve and analyze various physical problems using the Finite Element Method (FEM). The ...