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Runge-Kutta Processes with Exact Principal Error Equations

Lookup NU author(s): Dr Kenneth Wright

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Abstract

The global error estimation process introduced by H. J. Stetter and reviewed with practical improvements by L. Dalle Rive and F. Pasciutti is discussed with reference to explicit Runge-Kutta methods and further modifications are suggested. It is demonstrated that this process can be unsatisfactory when applied to a problem which suffers from inherent instability.

Publication metadata

Author(s): Prince PJ, Wright K

Publication type: Article

Publication status: Published

Journal: Journal of the Institute of Mathematics and its Applications

Year: 1978

Volume: 21

Issue: 3

Pages: 363-373

ISSN (print): 0020-2932

ISSN (electronic): 1464-3634

Publisher: Oxford University Press

URL: http://dx.doi.org/10.1093/imamat/21.3.363

DOI: 10.1093/imamat/21.3.363

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