104 citations · 372 across the 16 of their papers we have counts for
3 papers · 1 filter
Initializing and stabilizing variational multistep algorithms for modeling dynamical systems
C. L. Ellison, J. W. Burby, J. M. Finn +2
Backward error initialization and parasitic mode control are well-suited for use in algorithms that arise from a discrete variational principle on phase-space dynamics. Dynamical s…
Gauge properties of the guiding center variational symplectic integrator
Jonathan Squire, Hong Qin, William M. Tang
Variational symplectic algorithms have recently been developed for carrying out long-time simulation of charged particles in magnetic fields. As a direct consequence of their deriv…
Geometric integration of the Vlasov-Maxwell system with a variational particle-in-cell scheme
Jonathan Squire, Hong Qin, William M. Tang
A fully variational, unstructured, electromagnetic particle-in-cell integrator is developed for integration of the Vlasov-Maxwell equations. Using the formalism of Discrete Exterio…