Aperçu des sections


    Difference equations have been increasingly used as mathematical models in

    many disciplines including genetics, eipdemiology, ecology, physiology, neural

    networks, psychology, engineering, physics, chemistry and social sciences.

    Their amenability to computerization and their mathematical simplicity have

    attracted researchers from a wide range of disciplines. As we will see in Section

    1.2, difference equations are generated by maps (functions). Section 1.3

    illustrates how discretizing a differential equation would yeild a difference

    equation. Discretization algorithms are part of a discipline called numerical

    analysis which belong to both mathematics and computer science. As most

    differential equations are unsolvable, one needs to resort to computers for

    help. However, computers understand only recursions or difference equations;

    thus the need to discretize differential equations.


  • Série TD 1

    Fichiers: 2