20 citations · 24 across the 13 of their papers we have counts for
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Computing nonlinear Schrödinger equations with Hermite functions beyond harmonic traps
Valeria Banica, Georg Maierhofer, Katharina Schratz
Hermite basis functions are a classical tool for the spatial discretisation of Schrödinger equations with harmonic potential. In this work, we prove that their favourable stability…
On scattering for NLS: rigidity properties and numerical simulations via the lens transform
Rémi Carles, Georg Maierhofer
We analyse the scattering operator associated with the defocusing nonlinear Schr{ö}dinger equation which captures the evolution of solutions over an infinite time-interval under th…
Fully discrete backward error analysis for the midpoint rule applied to the nonlinear Schroedinger equation
Erwan Faou, Georg Maierhofer, Katharina Schratz
The use of symplectic numerical schemes on Hamiltonian systems is widely known to lead to favorable long-time behaviour. While this phenomenon is thoroughly understood in the conte…
A Wong--Zakai resonance-based integrator for nonlinear Schrödinger equation with white noise dispersion
Jianbo Cui, Georg Maierhofer
We introduce a novel approach to numerical approximation of nonlinear Schrödinger equation with white noise dispersion in the regime of low-regularity solutions. Approximating such…