576 citations · 1.9k across the 50 of their papers we have counts for
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math.NA2008★ 26 cited
Variational Integrators for Maxwell's Equations with Sources
Ari Stern, Yiying Tong, Mathieu Desbrun +1
In recent years, two important techniques for geometric numerical discretization have been developed. In computational electromagnetics, spatial discretization has been improved by…
math.NA2008★ 9 cited
Hamilton-Pontryagin Integrators on Lie Groups: Introduction and Structure-Preserving Properties
Nawaf Bou-Rabee, Jerrold E. Marsden
In this paper structure-preserving time-integrators for rigid body-type mechanical systems are derived from a discrete Hamilton-Pontryagin variational principle. From this principl…