LJKDeterministic Models and Algorithms: EDPAIRSEACVGI Seminar

On Thursday September 12 2019 at 11h00 in Room 106  IMAG Building

Seminary of Mr Marc SONGOLO (ICAM, IETR, Univ. de Nantes, Univ. de Lubumbashi)

Introduction to nonstandard finite difference methods

Summary

In general, a given linear or nonlinear differential equation does not have a complete solution that can be expressed in a finite number of elementary functions. A first approach to decant this situation is to look for numerical integration techniques that can provide a precise solution to the differential equations. But, most numerical models do not preserve the properties of continuous equations. Seeking numerical schemes that preserve the qualitative properties of continuous equations remains a widespread problem in numerical analysis. The main objective of this seminar is to introduce the methodology of nonstandard finite difference schemes that have already proved their effectiveness.
