10 citations · 19 across the 3 of their papers we have counts for
3 papers
Efficient scaling and squaring method for the matrix exponential
Sergio Blanes, Nikita Kopylov, Muaz Seydaoğlu
This work presents a new algorithm to compute the matrix exponential within a given tolerance. Combined with the scaling and squaring procedure, the algorithm incorporates Taylor,…
Exponential propagators for the Schrödinger equation with a time-dependent potential
Philipp Bader, Sergio Blanes, Nikita Kopylov
We consider the numerical integration of the Schrödinger equation with a time-dependent Hamiltonian given as the sum of the kinetic energy and a time-dependent potential. Commutato…
Symplectic integrators for second-order linear non-autonomous equations
Philipp Bader, Sergio Blanes, Fernando Casas +2
Two families of symplectic methods specially designed for second-order time-dependent linear systems are presented. Both are obtained from the Magnus expansion of the corresponding…