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Zbl 1001.65080
Simos, T.E.
An exponentially-fitted Runge-Kutta method for the numerical integration of initial-value problems with periodic or oscillating solutions. (English)
[J] Comput. Phys. Commun. 115, No.1, 1-8 (1998). ISSN 0010-4655

Summary: An exponentially-fitted Runge-Kutta method for the numerical integration of initial-value problems with periodic or oscillating solutions is developed. Numerical and theoretical results obtained for several well known problems show the efficiency of the new method.

MSC 2000:: *65L06 Multistep, Runge-Kutta, and extrapolation methods
65L05 Initial value problems for ODE (numerical methods)
34C10 Qualitative theory of oscillations of ODE: Zeros, etc.
34A34 Nonlinear ODE and systems, general
34C25 Periodic solutions of ODE
70M20 Orbital mechanics

Keywords: exponential fitting; numerical examples; arbital problems; Runge-Kutta method; initial-value problems; periodic or oscillating solutions

Cited in: Zbl 1185.65125 Zbl 1039.65055

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