Explicit almost P-stable Runge–Kutta–Nyström methods for the numerical solution of the two-body problem
Author:
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Computational Mathematics
Link
http://link.springer.com/content/pdf/10.1007/s40314-014-0129-8.pdf
Reference15 articles.
1. Alonso-Mallo I, Cano B, Moreta MJ (2006) Stability of Runge-Kutta-Nyström methods. J Comput Appl Math 189:120–131
2. Butcher JC (2008) Numerical methods for oinary differential equations, 2nd edn, Wiley, London
3. Carpentieri M, Paternoster B (2006) Stability analysis of frequency and step length dependent Runge-Kutta-Nyström methods. Future Gener Comput Syst 22:395402
4. Chawla MM, Sharma SR (1985) Families of three stage third order Runge-Kutta-Nyström methods for $$y^{\prime \prime } = f ( x, y, y^{\prime })$$ y ″ = f ( x , y , y ′ ) . J Aust Math Soc Ser B Appl Math 26:375–386
5. Hairer E (1979) Unconditionally stable methods for second-order differential equations. Numer Math 32:373–379
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