Stability, consistency and convergence of variable K-step methods for numerical integration of large systems of ordinary differential equations

  • Peter Piotrowski
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 109)


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.


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    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
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Copyright information

© Springer-Verlag 1969

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  • Peter Piotrowski

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