5 citations · 7 across the 4 of their papers we have counts for
9 papers
Third order, uniform in low to high oscillatory coefficients, exponential integrators for Klein-Gordon equations
Karolina Kropielnicka, Karolina Lademann
Allowing for space- and time-dependence of mass in Klein--Gordon equations resolves the problem of negative probability density and of violation of Lorenz covariance of interaction…
Effective highly accurate time integrators for linear Klein-Gordon equations across the scales
Karolina Kropielnicka, Karolina Lademann, Katharina Schratz
We propose an efficient approach for time integration of Klein-Gordon equations with highly oscillatory in time input terms. The new methods are highly accurate in the entire range…
Efficient Magnus-type integrators for solar energy conversion in Hubbard models
Winfried Auzinger, Juliette Dubois, Karsten Held +7
Strongly interacting electrons in solids are generically described by Hubbardtype models, and the impact of solar light can be modeled by an additional time-dependence. This yields…
Solving the linear semiclassical Schrödinger equation on the real line
Arieh Iserles, Karolina Kropielnicka, Katharina Schratz +1
The numerical solution of a linear Schrödinger equation in the semiclassical regime is very well understood in a torus . A raft of modern computational methods are pr…
Time adaptive Zassenhaus splittings for the Schrödinger equation in the semiclassical regime
Winfried Auzinger, Harald Hofstätter, Othmar Koch +2
Time dependent Schrödinger equations with conservative force field U commonly constitute a major challenge in the numerical approximation, especially when they are analysed in the…
The Escalator Boxcar Train Method for a System of Aged-structured Equations in the Space of Measures
José A. Carrillo, Piotr Gwiazda, Karolina Kropielnicka +1
The Escalator Boxcar Train (EBT) method is a well known and widely used numerical method for one-dimensional structured population models of McKendrick-von Foerster type. Recently…