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A canonical integration technique (1983)
| Venue: | IEEE Trans. Nucl. Sci |
| Citations: | 87 - 0 self |
BibTeX
@ARTICLE{Ruth83acanonical,
author = {Ronald D. Ruth},
title = {A canonical integration technique},
journal = {IEEE Trans. Nucl. Sci},
year = {1983},
pages = {2669--2671}
}
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Abstract
There are many different ways to integrate dif-ferential equations numerically. ' These various methods are usually characterized by the accuracy of a single step in time. Thus if in a small time step, h, the integration is performed so that it is accurate ',?r?~hor?e??n!~&ation method. then the method is referred to as The class of differential equations of interest Now the question is: if the parameter t is small can this map be found approximately to some given orde; in t? If this can be done explicitly, then the process can easily be iterated and the error controlled by adjusting the step size, t. Of course, the typical integration method does just this but sacrifices the canonical character of the ma
