Systèmes dynamiques
Matrix-free continuation methods on a nonlocal, dissipative partial differential equation for animal aggregation
Kovacic, Mitchell, Pietro-Luciano Buono and Lennaert van Veen
University of Ontario Institute of Technology

A recent nonlocal animal aggregation model published by Dr. Eftimie et al is introduced. An overview of the numerical methods involved in time stepping and continuing solutions of the model is given; including the pseudo-spectral method involved, as well as the use of a matrix-free continuation method by Dr. Sanchez et al. Highlights are given to the use of the flow operator in the Newton update step, which serves to better condition the system; and to interesting problems arising from symmetries and the non-locality of the model.

Mardi, 18 juin, 11h30
Salle Des Plaines A