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Explicit almost P-stable Runge–Kutta–Nyström methods for the numerical solution of the two-body problem

✍ Scribed by Kosti, Athinoula A.; Anastassi, Zacharias A.

Book ID
125391293
Publisher
Springer-Verlag
Year
2014
Tongue
English
Weight
491 KB
Volume
34
Category
Article
ISSN
0101-8205

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new approach for constructing efficient RungeKutta-Nystrom methods is introduced in this paper. Based on this new approach a new exponentially-fitted Runge-KuttaNystrGm fourth-algebraic-order method is obtained for the numerical solution of initial-value problems with oscillating solutions. The new