 |
 |
 |
 |
 |
 |
 |
 |
 Computer Arithmetic Emulation And Rounding-Error Analysis
 |
 |
 |
 |
 |
 |

Organization: | Cerro Coso Community College |
 |
 |
 |
 |
 |
 |
 2004 Wolfram Technology Conference
 |
 |
 |
 |
 |
 |
 Champaign IL
 |
 |
 |
 |
 |
 |
 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.
 |
 |
 |
 |
 |
 |

 |
 |
 |
 |
 |
 |
 Error analysis
 |
 |
 |
 |
 |
 |
 http://www.wolfram.com/news/events/techconf2004
 |
 |
 |
 |
 |
 |

| CompArithEmAndRoundErrAnal.nb (1.5 MB) - Presentation notebook [for Mathematica 5.0] |
 |
 |