130 citations · 506 across the 27 of their papers we have counts for
Showing 2015 · math.NAShow all
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math.NA2015★ 3 cited
Formal series and numerical integrators: some history and some new techniques
Jesus Maria Sanz-Serna, Ander Murua
This paper provides a brief history of B-series and the associated Butcher group and presents the new theory of word series and extended word series. B-series (Hairer and Wanner 19…
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…
math.NA2015★ 3 cited
Word series for dynamical systems and their numerical integrators
Ander Murua, J. M. Sanz-Serna
We study word series and extended word series, classes of formal series for the analysis of some dynamical systems and their discretizations. These series are similar to but more c…