42 citations · 81 across the 13 of their papers we have counts for
4 papers · 1 filter
A Spectral Symplectic Algorithm for Cylindrical Electromagnetic Plasma Simulations
Stephen D. Webb, Dan T. Abell, Nathan M. Cook +1
Symplectic integrators for Hamiltonian systems have been quite successful for studying few-body dynamical systems. These integrators are frequently derived using a formalism built…
A Hamiltonian Perturbation Theory for the Nonlinear Vlasov Equation
Stephen D. Webb
The nonlinear Vlasov equation contains the full nonlinear dynamics and collective effects of a given Hamiltonian system. The linearized approximation is not valid for a variety of…
A Tutorial on Variational Integrators
Stephen D. Webb
We present a brief tutorial on the nuts and bolts computation of a multisymplectic particle-in-cell algorithm using the discretized Lagrangian approach. This approach, originated b…
Symplectic Integration of Magnetic Systems
Stephen D. Webb
Dependable numerical results from long-time simulations require stable numerical integration schemes. For Hamiltonian systems, this is achieved with symplectic integrators, which c…