203 citations · 347 across the 14 of their papers we have counts for
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math.DS2013★ 18 cited
Localized patterns in periodically forced systems
A S Alnahdi, J Niesen, A M Rucklidge +1
Spatially localized, time-periodic structures are common in pattern-forming systems, appearing in fluid mechanics, chemical reactions, and granular media. We examine the existence…
math.NA2013★ 3 cited
On an asymptotic method for computing the modified energy for symplectic methods
Per Christian Moan, Jitse Niesen
We revisit an algorithm by Skeel et al. for computing the modified, or shadow, energy associated with the symplectic discretization of Hamiltonian systems. By rephrasing the algori…