20 citations · 24 across the 13 of their papers we have counts for
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math.NA2022★ 1 cited
Numerical integration of Schrödinger maps via the Hasimoto transform
Valeria Banica, Georg Maierhofer, Katharina Schratz
We introduce a numerical approach to computing the Schrödinger map (SM) based on the Hasimoto transform which relates the SM flow to a cubic nonlinear Schrödinger (NLS) equation. I…
math.NA2022★ 1 cited
Bridging the gap: symplecticity and low regularity in Runge-Kutta resonance-based schemes
Georg Maierhofer, Katharina Schratz
Recent years have seen an increasing amount of research devoted to the development of so-called resonance-based methods for dispersive nonlinear partial differential equations. In…
math.NA2022
An analysis of least-squares oversampled collocation methods for compactly perturbed boundary integral equations in two dimensions
Georg Maierhofer, Daan Huybrechs
In recent work (Maierhofer & Huybrechs, 2022, Adv. Comput. Math.), the authors showed that least-squares oversampling can improve the convergence properties of collocation methods…