A discussion of time transformations and local truncation errors

Details A discussion of time transformations and local truncation errors A discussion of time transformations and local truncation errors

Jun 1976

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976cemec..13..495n&link_type=abstract

Celestial Mechanics, vol. 13, June 1976, p. 495-501.

Mathematics

7

Numerical Integration, Time Functions, Transformations (Mathematics), Truncation Errors, Two Body Problem, Astrodynamics, Error Analysis, Orbit Perturbation

Scientific paper

A review and discussion of several investigations concerning the effect of time transformations on numerical integration errors is given. In particular, the discussion treats the relation between time transformations and local truncation errors. Additional numerical results are presented which indicate that time transformations reduce local truncation errors. The results complement those of other studies, especially the recent studies of Danby, Wong, Velez, and Feagin and Mikkilineni. A Sundman time transformation with a varying exponent is introduced and discussed.

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