Refreshments 3:00 pm, SR 318
Colloquium 3:30 pm, SR 207
Systems with Long-range Interactions and Fractional Calculus: there and back again
Professor Jorge Macias-Diaz
Universidad Autonomade Aguascalientes
In this talk, we will survey briefly the importance of some systems of particles with long-range interactions in physics. Such models appear naturally in a wide range of applications and, under suitable conditions, they may be transformed into partial differential equations with fractional derivatives. We will recall this transformation process, and consider fractional systems with a Hamiltonian structure. In particular, we will tackle the problem for solving numerically some fractional wave equations in which the energy is dissipated. A Hamiltonian finite-difference scheme will be proposed to that end, and its most important structural and numerical properties will be investigated. Illustrative examples will be provided at the end of the talk.