Track of a charged particle in a non-uniform electromagnetic field can be described by the first-order initial value problem (IVP). Robustness and efficiency of the integration process is important for overall performance of the simulation code. Geant4 and GeantV use explicit Runge-Kutta (RK) methods with the adaptive stepsize control. I propose to implement several methods which may have a better performance for the problem of interest.

  • New stepsize control algorithm
  • Integration methods with stable equilibrium states
  • Methods especially designed for periodic problems

Organization

Student

Dmitry Sorokin

Mentors

  • Gabriele Cosmo
  • John Apostolakis
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2017