41 citations · 329 across the 23 of their papers we have counts for
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math.NA2018
On energy conservation by trigonometric integrators in the linear case with application to wave equations
Ludwig Gauckler
Trigonometric integrators for oscillatory linear Hamiltonian differential equations are considered. Under a condition of Hairer & Lubich on the filter functions in the method, a mo…
math.NA2018
High-order splitting integrators for nonlinear Schrödinger equations over long times
Ludwig Gauckler
The long-time behaviour of splitting integrators applied to nonlinear Schrödinger equations in a weakly nonlinear setting is studied. It is proven that the energy is nearly conserv…