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math.NA2021
Optimal parameters for numerical solvers of PDEs
Gianluca Frasca-Caccia, Pranav Singh
In this paper we introduce a procedure for identifying optimal methods in parametric families of numerical schemes for initial value problems in partial differential equations. The…
math.NA2019
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…
math.NA2018
Sixth-order schemes for laser--matter interaction in Schrödinger equation
Pranav Singh
Control of quantum systems via lasers has numerous applications that require fast and accurate numerical solution of the Schrödinger equation. In this paper we present three strate…