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Modified Equations for Variational Integrators

por 

Mats Vermeeren 

TU Berlin, Alemania


Resumen:
Numerical discretizations of differential equations are often studied through their modified equation. This is a differential equation, usually obtained as a power series in the step size, with solutions that interpolate the discretization. It is well-known that if a symplectic integrator is applied to a Hamiltonian system, then its modified equation is again Hamiltonian. In this talk we discuss this property from the Lagrangian side. We present a technique to construct a Lagrangian for the modified equation from the discrete Lagrangian defining the variational integrator. This is particularly interesting in the case of degenerate Lagrangians, where the Legendre transform cannot be used to switch between the Lagrangian and Hamiltonian formulations.

Jueves 23 de agosto, 2018
5:00 p.m.
Salón 203, Edificio Anexo, IIMAS, UNAM

Informes: coloquiomym@gmail.com, o al 5622-3564.