4 papers
Uniformly accurate integrators for Klein-Gordon-Schrödinger systems from the classical to non-relativistic limit regime
Maria Cabrera Calvo
In this paper we present a novel class of asymptotic consistent exponential-type integrators for Klein-Gordon-Schrödinger systems that capture all regimes from the slowly varying c…
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…
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…
The most inaccessible point of a convex domain
Maria Calvo, Vicente Munoz
The inaccessibility of a point p in a bounded domain D \subset R^n is the minimum of the lengths of segments through p with boundary at \bd D. The points of maximum inaccessibility…