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Efficient time integration methods for Gross--Pitaevskii equations with rotation term
Philipp Bader, Sergio Blanes, Fernando Casas +1
The objective of this work is the introduction and investigation of favourable time integration methods for the Gross--Pitaevskii equation with rotation term. Employing a reformula…
Continuous changes of variables and the Magnus expansion
Fernando Casas, Philippe Chartier, Ander Murua
In this paper, we are concerned with a formulation of Magnus and Floquet-Magnus expansions for general nonlinear differential equations. To this aim, we introduce suitable continuo…
Splitting and composition methods with embedded error estimators
Sergio Blanes, Fernando Casas, Mechthild Thalhammer
We propose new local error estimators for splitting and composition methods. They are based on the construction of lower order schemes obtained at each step as a linear combination…