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Stabilization of finite difference methods of numerical integration. (English) Zbl 0257.65062


MSC:

65L05 Numerical methods for initial value problems involving ordinary differential equations
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References:

[1] Bettis, D. G.: 1970, ?Numerical Integration of Products of Fourier and Ordinary Polynomials,?,Num. Math. 14. · Zbl 0198.49601
[2] Brouwer, D. and Clemence, G. M.: 1961,Methods of Celestial Mechanics, Academic Press. · Zbl 0132.23506
[3] Hill, G. W.: 1878, ?Researches in the Lunar Theory?,Am. J. Math. 1.
[4] Henrici, P.: 1962,Discrete Variable Methods in Ordinary Differential Equations, Wiley. · Zbl 0112.34901
[5] Kustaanheimo, P. and Stiefel, E.: 1965, ?Perturbation Theory of Kepler Motion Based on Spinor Regularization?,J. Reine Angew. Math. 218. · Zbl 0151.34901
[6] Stiefel, E. and Bettis, D. G.: 1969, ?Stabilization of Cowell’s Method?,Num. Math. 13. · Zbl 0219.65062
[7] Stiefel, E., Rössler, M., Waldvogel, J., and Burdet, C. A.: 1967, ?Methods of Regularization for Computing Orbits in Celestial Mechanics?, NASA CR-769, Washington, D.C. · Zbl 0178.27602
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