1 citations · 1 across the 4 of their papers we have counts for
4 papers
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…
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…
G-Adaptivity: optimised graph-based mesh relocation for finite element methods
James Rowbottom, Georg Maierhofer, Teo Deveney +6
We present a novel, and effective, approach to achieve optimal mesh relocation in finite element methods (FEMs). The cost and accuracy of FEMs is critically dependent on the choice…
A fast neural hybrid Newton solver adapted to implicit methods for nonlinear dynamics
Tianyu Jin, Georg Maierhofer, Katharina Schratz +1
The use of implicit time-stepping schemes for the numerical approximation of solutions to stiff nonlinear time-evolution equations brings well-known advantages including, typically…