Efficient integration over discontinuities in ordinary differential equation simulations

This paper introduces a new method of detecting and handling discontinuities in arbitrary functions which form part of an ordinary differential equation set. The method has been implemented in conjunction with the Gear[6] integration algorithm for stiff equation sets, published by Hindmarsh[9], but the philosophy applies to any predictor corrector integration algorithm with Nordsieck[10] step size control.

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Year of publication:	1978
Authors:	Carver, M.B.
Published in:	Mathematics and Computers in Simulation (MATCOM). - Elsevier, ISSN 0378-4754. - Vol. 20.1978, 3, p. 190-196
Publisher:	Elsevier

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10010749767