Leapfrog methods for relativistic charged-particle dynamics

by Prof. Ernst Hairer (Università di Ginevra)

Thursday 18 Apr 2024, 14:30 → 15:30 Europe/Rome

Ex-ISEF/Building-Main Lecture Hall (GSSI)

A basic leapfrog integrator and its
variational variant are proposed and studied for
the numerical integration of the equations of motion of relativistic
charged particles in an electromagnetic field.
The methods are based on a four-dimensional formulation of the
equations of motion. Structure-preserving properties of the
numerical methods are analysed, in particular conservation and
long-time near-conservation of energy and mass shell as well
as preservation of volume in phase space.
In the non-relativistic limit, the considered methods reduce
to the Boris algorithm for non-relativistic charged-particle
dynamics and its variational variant.
This talk is based on joint-work with Christian Lubich

 

 

Zoom Link:
https://us02web.zoom.us/j/86086663267?pwd=ZzRBNTI0bUIzTU9ReHVtdlhXblljZz09

 

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