42 citations · 60 across the 3 of their papers we have counts for
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math.NA2009
Discrete Lie Advection of Differential Forms
P. Mullen, A. McKenzie, D. Pavlov +5
In this paper, we present a numerical technique for performing Lie advection of arbitrary differential forms. Leveraging advances in high-resolution finite volume methods for scala…
math.NA2005★ 42 cited
Discrete Routh Reduction
Sameer M. Jalnapurkar, Melvin Leok, Jerrold E. Marsden +1
This paper develops the theory of abelian Routh reduction for discrete mechanical systems and applies it to the variational integration of mechanical systems with abelian symmetry.…