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    Numerical integration of systems of differential equations arising in celestial mechanics / by Roy D. North. --

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    NorthR1974m-1b.pdf (36.27Mb)

    Date

    1974

    Author

    North, Roy D.

    Degree

    Master of Science

    Discipline

    Mathematical Sciences

    Subject

    Celestial mechanics
    Numerical integration Computer programs

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    Abstract

    This thesis deals primarily with solving systems of autonomous ordinary nonlinear differential equations arising in Celestial Mechanics initial value problems using various finite-difference techniques. Those methods investigated are the classical Runge-Kutta, Gill’s modification to the classical Runge-Kutta, Runge-Kutta-Nystrom, rational extrapolation a la Bulirsch and Stoer, and Taylor’s series.

    URI

    http://knowledgecommons.lakeheadu.ca/handle/2453/2300

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