Abstract
This chapter is devoted to practical aspects of an implementation of geometric integrators. We explain strategies for changing the step size which do not deteriorate the correct qualitative behaviour of the solution.We study multiple time stepping strategies, the effect of round-off in long-time integrations, and the efficient solution of nonlinear systems arising in implicit integration schemes.
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© 2006 Springer
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Hairer, E., Wanner, G., Lubich, C. (2006). Structure-Preserving Implementation. In: Geometric Numerical Integration. Springer Series in Computational Mathematics, vol 31 . Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-30666-8_8
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DOI: https://doi.org/10.1007/3-540-30666-8_8
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-30663-4
Online ISBN: 978-3-540-30666-5
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