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Efficient integration over discontinuities in ordinary differential equation simulations

โœ Scribed by M.B. Carver

Publisher
Elsevier Science
Year
1978
Tongue
English
Weight
490 KB
Volume
20
Category
Article
ISSN
0378-4754

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โœฆ Synopsis

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[lO]step size control.

๐Ÿ“œ SIMILAR VOLUMES

Efficient automatic integration of ordin
Efficient automatic integration of ordinary differential equations with discontinuities
โœ D. Ellison ๐Ÿ“‚ Article ๐Ÿ“… 1981 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 657 KB

This paper describes a method of automatically detecting and accurately locating discontinuities which occur in many applications of ordinary differential equations. The integration formula is a Runge-Kutta so chosen that accurate values between integration points can be found by Hermite interpolati