Stability, consistency and convergence of variable K-step methods for numerical integration of large systems of ordinary differential equations
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.
Unable to display preview. Download preview PDF.
- Schlüter, A. and Piotrowski, P.: Numerical integration of large systems of ordinary differential equations by means of individually variable step size, Sonderheft der GAMM zur Jahrestagung 1968 in PragGoogle Scholar
- Krogh, Fred T.: A variable step variable order multistep method for the numerical solution of ordinary differential equations, IFIP Congress 1968, booklet A 91–95Google Scholar
- referred to and applied by Aarseth, S. J.: Dynamical evolution of clusters of galaxis, M. N. 126, 223 (1963)Google Scholar