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  • COMPUTER PROGRAMMING AND SOFTWARE  (2)
  • 1
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    A third order Runge-Kutta algorithm on a manifold (1992)
    In:  CASI
    Details
    Publication Date: 2019-06-28
    Description: A third order Runge-Kutta type algorithm is described with the property that it preserves certain geometric structures. In particular, if the algorithm is initialized on a Lie group, then the resulting iterates remain on the Lie group.
    Keywords: COMPUTER PROGRAMMING AND SOFTWARE
    Type: NASA-CR-190330 , NAS 1.26:190330
    Format: application/pdf
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    NASA TECHNICAL REPORTS
  • 2
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    On the numeric integration of dynamic attitude equations (1992)
    In:  CASI
    Details
    Publication Date: 2019-06-28
    Description: We describe new types of numerical integration algorithms developed by the authors. The main aim of the algorithms is to numerically integrate differential equations which evolve on geometric objects, such as the rotation group. The algorithms provide iterates which lie on the prescribed geometric object, either exactly, or to some prescribed accuracy, independent of the order of the algorithm. This paper describes applications of these algorithms to the evolution of the attitude of a rigid body.
    Keywords: COMPUTER PROGRAMMING AND SOFTWARE
    Type: NASA-CR-194788 , NAS 1.26:194788
    Format: application/pdf
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    NASA TECHNICAL REPORTS
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