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Efficient integration over discontinuities in ordinary differential equation simulations

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  • Carver, M.B.

Abstract

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.

Suggested Citation

  • Carver, M.B., 1978. "Efficient integration over discontinuities in ordinary differential equation simulations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 20(3), pages 190-196.
    • Handle: RePEc:eee:matcom:v:20:y:1978:i:3:p:190-196
    DOI: 10.1016/0378-4754(78)90068-X
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    References listed on IDEAS

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    1. Carver, M.B., 1975. "The forsim system for automated solution of sets of implicitly coupled partial differential equations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 17(3), pages 195-202.
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    Cited by:

    1. A. B. Singer & P. I. Barton, 2004. "Global Solution of Optimization Problems with Parameter-Embedded Linear Dynamic Systems," Journal of Optimization Theory and Applications, Springer, vol. 121(3), pages 613-646, June.
    2. Ellison, D., 1981. "Efficient automatic integration of ordinary differential equations with discontinuities," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 23(1), pages 12-20.

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