Abstract
This paper describes a generalization of the Adams method for systems of ordinary differential equations from constant to variable step sizes. This entailed deriving integration formulae and proving the stability, consistency, and convergence of their solutions.
This work was performed under the terms of the agreement on association between the Institut für Plasmaphysik and Euratom.
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References
Henrici, Peter: Discrete variable methods in ordinary differential equations, John Wiley & Sons, INC, New York, London, Sydny 1962
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referred to and applied by Aarseth, S. J.: Dynamical evolution of clusters of galaxis, M. N. 126, 223 (1963)
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Piotrowski, P. (1969). Stability, consistency and convergence of variable K-step methods for numerical integration of large systems of ordinary differential equations. In: Morris, J.L. (eds) Conference on the Numerical Solution of Differential Equations. Lecture Notes in Mathematics, vol 109. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0060032
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DOI: https://doi.org/10.1007/BFb0060032
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