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arXiv · 1204.4117

Systematic Improvement of Splitting Methods for the Hamilton Equations

Asif Mushtaq·Anne Kværnø·Kåre Olaussen
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Abstract

We show how the standard (St{ö}rmer-Verlet) splitting method for differential equations of Hamiltonian mechanics (with accuracy of order $τ^2$ for a timestep of length $τ$) can be improved in a systematic manner without using the composition method. We give the explicit expressions which increase the accuracy to order $τ^8$, and demonstrate that the method work on a simple anharmonic oscillator.

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Asif Mushtaq, Anne Kværnø, Kåre Olaussen. 2012-04-18. Systematic Improvement of Splitting Methods for the Hamilton Equations. https://arxiv.org/abs/1204.4117

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