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ERIC Number: EJ961103
Record Type: Journal
Publication Date: 2011-Nov
Pages: 4
Abstractor: As Provided
ISBN: N/A
ISSN: ISSN-0746-8342
Discretization vs. Rounding Error in Euler's Method
Borges, Carlos F.
College Mathematics Journal, v42 n5 p396-399 Nov 2011
Euler's method for solving initial value problems is an excellent vehicle for observing the relationship between discretization error and rounding error in numerical computation. Reductions in stepsize, in order to decrease discretization error, necessarily increase the number of steps and so introduce additional rounding error. The problem is common and can be quite troublesome. We examine here a simple device, well known to those versed in the fixed point computations employed many years ago, that can help delay the onset of this problem.
Mathematical Association of America. 1529 Eighteenth Street NW, Washington, DC 20036. Tel: 800-741-9415; Tel: 202-387-5200; Fax: 202-387-1208; e-mail: maahq@maa.org; Web site: http://www.maa.org/pubs/cmj.html
Publication Type: Journal Articles; Reports - Descriptive
Education Level: Higher Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A