ISSN:
0945-3245
Keywords:
Mathematics Subject Classification (1991):65L05, 65L06
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Summary. Our task in this paper is to present a new family of methods of the Runge–Kutta type for the numerical integration of perturbed oscillators. The key property is that those algorithms are able to integrate exactly, without truncation error, harmonic oscillators, and that, for perturbed problems the local error contains the perturbation parameter as a factor. Some numerical examples show the excellent behaviour when they compete with Runge–Kutta–Nyström type methods.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/s002110050434
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