Geometric numerical integration illustrated by the Störmer – Verlet method

@inproceedings{Hairer2003GeometricNI,
  title={Geometric numerical integration illustrated by the St{\"o}rmer – Verlet method},
  author={Ernst Hairer},
  year={2003}
}
The subject of geometric numerical integration deals with numerical integrators that preserve geometric properties of the flow of a differential equation, and it explains how structure preservation leads to improved long-time behaviour. This article illustrates concepts and results of geometric numerical integration on the important example of the Störmer–Verlet method. It thus presents a cross-section of the recent monograph by the authors, enriched by some additional material. 
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