Improved Bettis Methods for Long-Term Prediction
In this paper we introduce a modification of Bettis’ method in order to improve the long-term numerical integration of perturbed oscillators. We give several examples, involving both single and coupled oscillators, to illustrate the efficiency of this approach with respect to the methods of Bettis and Adams-Bashforth.
KeywordsCauchy Problem Perturbation Technique Couple Oscillator Error Growth Symplectic Integrator
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