Improved Bettis Methods for Long-Term Prediction

  • José M. Ferrándiz
  • Sylvia Novo
Part of the NATO ASI Series book series (NSSB, volume 272)


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.


Cauchy Problem Perturbation Technique Couple Oscillator Error Growth Symplectic Integrator 


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Copyright information

© Plenum Press, New York 1991

Authors and Affiliations

  • José M. Ferrándiz
    • 1
  • Sylvia Novo
    • 1
  1. 1.Departamento de Matemática Aplicada a la Ingeniería E.T.S. de Ingenieros IndustrialesUniversidad de ValladolidValladolidSpain

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