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## COMP METH CIVIL ENGR

by: Geraldine Kuhic

16

0

2

# COMP METH CIVIL ENGR CGN 3421

Geraldine Kuhic
UF
GPA 3.77

Staff

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COURSE
PROF.
Staff
TYPE
Class Notes
PAGES
2
WORDS
KARMA
25 ?

## Popular in Civil Engineering

This 2 page Class Notes was uploaded by Geraldine Kuhic on Friday September 18, 2015. The Class Notes belongs to CGN 3421 at University of Florida taught by Staff in Fall. Since its upload, it has received 16 views. For similar materials see /class/206921/cgn-3421-university-of-florida in Civil Engineering at University of Florida.

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Date Created: 09/18/15
Chung Page 60 4112006 LECTURE NOTE 5 Numerical Errors Numerical Methods should be sufficiently accurate to meet the requirement of a particular engineering problem They also should be precise enough for adequate engineering design Numerical error represents both the inaccuracy and the imprecision of our predictions by numerical methods It can be categorized as Truncation error results when approximations are used to represent exact mathematical procedures Roundoff error or Chopping error results when numbers having limited significant figures are used to represent exact numbers 1 Truncation Error The term truncation error generally refers to the error involved in using a truncated or finite summation to approximate the sum of an infinites series such as The Taylor Series 2 Roundoff Error Let s say a computer converts a value of 04 to a normalized floating point value with eightbit bit a 1binarydigit mantissas eg converting 04 to a binary number a base2 system 04gtlt10O 01100110011002 To eight bits we get 04 gt0 ggggh Converting back to a t 1 base10 system gives

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