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.
CITATION STYLE
Hairer, E., Wanner, G., & Lubich, C. (2006). Structure-Preserving Implementation. In Geometric Numerical Integration (pp. 303–336). Springer-Verlag. https://doi.org/10.1007/3-540-30666-8_8
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