5 juin 2018: 1 événement

  • Séminaires Math-Physique

    Mardi 5 juin 16:15-17:15 - Marco Fasondini - University of Kent

    Séminaire Math-Phys : Computation and exploration of the Painlevé transcendents

    Résumé : We discuss the pole field solver (PFS) method for the numerical solution of the Painlevé equations, which are six nonlinear ODEs in the complex plane. This method exploits the fact that the only singularities of the solutions of the Painlevé equations, the Painlevé transcendents, are (movable) poles and branch point singularities at certain fixed points. Using the PFS method, we study a set of solutions to the third Painlevé equation (that arise in the Ising model in statistical physics) on their Riemann surfaces. Special function (Bessel function) solutions of the third Painlevé equation will also be explored.

    Lieu : Salle A318

    En savoir plus : Séminaires Math-Physique