203 citations · 347 across the 14 of their papers we have counts for
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nlin.PS2017★ 4 cited
Localized Patterns in Periodically Forced Systems: II. Patterns with Non-Zero Wavenumber
A. S. Alnahdi, J. Niesen, A. M. Rucklidge
In pattern-forming systems, localized patterns are readily found when stable patterns exist at the same parameter values as the stable unpatterned state. Oscillons are spatially lo…
math.NA2017★ 5 cited
Closed-form modified Hamiltonians for integrable numerical integration schemes
Shami A Alsallami, Jitse Niesen, Frank W Nijhoff
Modified Hamiltonians are used in the field of geometric numerical integration to show that symplectic schemes for Hamiltonian systems are accurate over long times. For nonlinear s…