13 citations · 30 across the 15 of their papers we have counts for
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math.NA2018★ 2 cited
Symplectic integration of PDEs using Clebsch variables
Robert I McLachlan, Christian Offen, Benjamin K Tapley
Many PDEs (Burgers' equation, KdV, Camassa-Holm, Euler's fluid equations,...) can be formulated as infinite-dimensional Lie-Poisson systems. These are Hamiltonian systems on manifo…
physics.comp-ph2018
A novel approach to rigid spheroid models in viscous flows using operator splitting methods
Benjamin Tapley, Elena Celledoni, Brynjulf Owren +1
Calculating cost-effective solutions to particle dynamics in viscous flows is an important problem in many areas of industry and nature. We implement a second-order symmetric split…