Numerical Dynamics of Integrodifference Equations

Na sala PMAT do IMC.
Seminários do Grupo de Pesquisa Análise de Equações Diferencias Parciais Não-Lineares

Título: Numerical Dynamics of Integrodifference Equations

Palestrante: Prof. Dr. Christian Pötzsche – Department of Mathematics – University of Klagenfurt, Austria

Abstract: Integrodifference equations are versatile and popular models in the life sciences which simultaneously describe the temporal evolution and spatial dispersal of populations or infective diseases in discrete generations. As infinite-dimensional dynamical systems their behavior is often illustrated by simulations and a rigorous foundation of related numerical methods is due.
In this talk, we survey methods for the numerical discretization of integrodifference equations. Our focus is the question, which dynamical properties persist under discretization and what can be said about convergence