Mathematics Colloquium - Systems with Long-range Interactions and Fractional Calculus: there and back again

DateJanuary 24, 2019Time3:30 - 4:40 pm
LocationSid Richardson Building - SR 207
Description

Refreshments 3:00 pm, SR 318
Colloquium 3:30 pm, SR 207

Mathematics Colloquium
Systems with Long-range Interactions and Fractional Calculus: there and back again

Professor Jorge Macias-Diaz
Universidad Autonomade Aguascalientes

Abstract
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.

PublisherCASPER
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