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math.NA2017★ 5 cited
An improved algorithm to compute the exponential of a matrix
Philipp Bader, Sergio Blanes, Fernando Casas
In this work, we present a new way to compute the Taylor polynomial of the matrix exponential which reduces the number of matrix multiplications in comparison with the de-facto sta…
math.NA2017★ 9 cited
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…