106 citations · 677 across the 72 of their papers we have counts for
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math.NA2014★ 5 cited
Geometric Representations of Whitney Forms and their Generalization to Minkowski Spacetime
Joe Salamon, John Moody, Melvin Leok
In this work, we present two alternative yet equivalent representation formulae for Whitney forms that are valid for any choice of coordinates, and generalizes the original charact…
math.NA2014★ 2 cited
Lie Group Spectral Variational Integrators
James Hall, Melvin Leok
We present a new class of high-order variational integrators on Lie groups. We show that these integrators are symplectic, momentum preserving, and can be constructed to be of arbi…