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Efficient automatic integration of ordinary differential equations with discontinuities

โœ Scribed by D. Ellison

Publisher
Elsevier Science
Year
1981
Tongue
English
Weight
657 KB
Volume
23
Category
Article
ISSN
0378-4754

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โœฆ Synopsis

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 interpolation. The efficiency of the method arises from two sources: (i) the classification of discontinuities into two types, known as time and state events; and (ii) the location of state events using Hermite interpolation.

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