Showing 2021Show all
2 papers · 1 filter
math.NA2021
Time integrators for dispersive equations in the long wave regime
María Cabrera Calvo, Frédéric Rousset, Katharina Schratz
We introduce a novel class of time integrators for dispersive equations which allow us to reproduce the dynamics of the solution from the classical up to long wa…
math.NA2021
Uniformly accurate low regularity integrators for the Klein--Gordon equation from the classical to non-relativistic limit regime
María Cabrera Calvo, Katharina Schratz
We propose a novel class of uniformly accurate integrators for the Klein--Gordon equation which capture classical as well as highly-oscillatory non-relativistic regimes $c\gg…