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Computer Arithmetic Emulation And Rounding-Error Analysis
Author

Bill Schwartz
Organization: Cerro Coso Community College
Conference

2004 Wolfram Technology Conference
Conference location

Champaign IL
Description

The presentation describes a package to emulate computer arithmetic and, as an illustration of one application, applies the package, using Mathematica to compute the truth, to two simple nonanalytic/experimental rounding-error-analysis examples. The first is a classical demonstration of finite word length effects: accumulation of rounding error from incrementing within a loop. The second compares the performance of five variations of the quadratic formula for rounding and chopping.
Subject

*Mathematics > Probability and Statistics
Keywords

Error analysis
URL

http://www.wolfram.com/news/events/techconf2004
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CompArithEmAndRoundErrAnal.nb (1.5 MB) - Presentation notebook [for Mathematica 5.0]