106 citations · 677 across the 72 of their papers we have counts for
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math.DG2005★ 94 cited
Discrete Exterior Calculus
Mathieu Desbrun, Anil N. Hirani, Melvin Leok +1
We present a theory and applications of discrete exterior calculus on simplicial complexes of arbitrary finite dimension. This can be thought of as calculus on a discrete space. Ou…
math.DG2005★ 24 cited
A Discrete Theory of Connections on Principal Bundles
Melvin Leok, Jerrold E. Marsden, Alan D. Weinstein
Connections on principal bundles play a fundamental role in expressing the equations of motion for mechanical systems with symmetry in an intrinsic fashion. A discrete theory of co…