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math.NA2015★ 1 cited
Symplectic integrators for the matrix Hill's equation and its applications to engineering models
Philipp Bader, Sergio Blanes, Enrique Ponsoda +1
We consider the numerical integration of the matrix Hill's equation. Parametric resonances can appear and this property is of great interest in many different physical applications…
math.NA2015
An efficient algorithm based on splitting for the time integration of the Schrödinger equation
S. Blanes, F. Casas, A. Murua
We present a practical algorithm based on symplectic splitting methods to integrate numerically in time the Schrödinger equation. When discretized in space, the Schrödinger equatio…