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ERIC Number: EJ918371
Record Type: Journal
Publication Date: 2011-Apr
Pages: 9
Abstractor: As Provided
Reference Count: 2
ISSN: ISSN-0020-739X
Amplification and Suppression of Round-Off Error in Runge-Kutta Methods
Prentice, J. S. C.
International Journal of Mathematical Education in Science and Technology, v42 n3 p377-385 Apr 2011
A simple nonstiff linear initial-value problem is used to demonstrate the amplification of round-off error in the course of using a second-order Runge-Kutta method. This amplification is understood in terms of an appropriate expression for the global error. An implicit method is then used to show how the roundoff error may actually be suppressed. This article describes a phenomenon not usually considered in general purpose textbooks on numerical analysis, and is therefore potentially interesting and useful to students of the subject. (Contains 2 tables.)
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Publication Type: Journal Articles; Reports - Descriptive
Education Level: Higher Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A