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Abstract: The development of a Sundman-type time-transformation for reversible variable stepsize integration of few-body problems is discussed. While a time-transformation based on minimum particle separation is suitable if the collisions only occur pairwise and isolated in time, the control of stepsize is typically much more difficult for a three-body close approach. Nonetheless, we find that a suitable choice of time-transformation based on particle separation can work quite well for certain types of... (Update)
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...the purely repulsive 19 one degree of freedom problem with Hamiltonian H = 1 2 p 2 1 q ; q 0: 6. 25) We follow the approach given in [5] to obtain an appropriate time transformation for solving this model problem. After a time rescaling g = q fi , the equations of motion...
.... such splittings) Weanticipate that the considerations for the choice of time transformation will be similar to those discussed in [2, 15]. In the latter reference, it was 6 anne kv rn and ben leimkuhler suggested to use a control of the form # ### = 1 1 # #### (3) where...
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BibTeX entry: (Update)
Bond, S., and Leimkuhler, B., Time-transformations for reversible variable stepsize integration, Numerical Algorithms, to appear. http://citeseer.ist.psu.edu/bond98timetransformations.html More
@article{ bole:98,
author = "Stephen D. Bond and Benedict J. Leimkuhler",
title = "Time-Transformations for Reversible Variable
Stepsize Integration",
journal = "Numerical Algorithms",
volume = "19",
pages = "55--71",
year = "1998",
url = "citeseer.ist.psu.edu/bond98timetransformations.html" }
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