15 citations · 63 across the 15 of their papers we have counts for
Showing 2018Show all
2 papers · 1 filter
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…
math.DG2018★ 5 cited
Hamiltonian boundary value problems, conformal symplectic symmetries, and conjugate loci
Robert I McLachlan, Christian Offen
In this paper we continue our study of bifurcations of solutions of boundary-value problems for symplectic maps arising as Hamiltonian diffeomorphisms. These have been shown to be…