42 citations · 60 across the 3 of their papers we have counts for
3 papers
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.…
math.AP2000★ 18 cited
The anisotropic averaged Euler equations
Jerrold E. Marsden, Steve Shkoller
The purpose of this paper is to derive the anisotropic averaged Euler equations and to study their geometric and analytic properties. These new equations involve the evolution of a…