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The trouble with numerical derivatives
written by Richard Gass
This Mathematica Notebook explores the effect of noise in data when performing numerical analysis. The numerical derivative of a set of data is always less smooth than the data itself because any noise is magnified by the derivative. Ways to improve the analysis are also illustrated.
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Mathematical Tools
- Calculus
- Numerical Analysis
Other Sciences
- Computer Science
- Upper Undergraduate
- Lower Undergraduate
- Instructional Material
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Access Rights:
Free access
Restriction:
Does not have a copyright, license, or other use restriction.
Courtesy of:
Richard Gass
Keyword:
numerical derivatives
Record Creator:
Metadata instance created March 11, 2009 by David Winch
Record Updated:
August 25, 2015 by Bruce Mason
Last Update
when Cataloged:
January 1, 2008
Other Collections:

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Record Link
AIP Format
R. Gass, Computer Program THE TROUBLE WITH NUMERICAL DERIVATIVES (2008), WWW Document, (http://www.compadre.org/Repository/document/ServeFile.cfm?ID=8665&DocID=1072).
AJP/PRST-PER
R. Gass, Computer Program THE TROUBLE WITH NUMERICAL DERIVATIVES (2008), <http://www.compadre.org/Repository/document/ServeFile.cfm?ID=8665&DocID=1072>.
APA Format
Gass, R. (2008). The trouble with numerical derivatives [Computer software]. Retrieved February 12, 2016, from http://www.compadre.org/Repository/document/ServeFile.cfm?ID=8665&DocID=1072
Chicago Format
Gass, Richard. "The trouble with numerical derivatives." http://www.compadre.org/Repository/document/ServeFile.cfm?ID=8665&DocID=1072 (accessed 12 February 2016).
MLA Format
Gass, Richard. The trouble with numerical derivatives. Computer software. 2008. 12 Feb. 2016 <http://www.compadre.org/Repository/document/ServeFile.cfm?ID=8665&DocID=1072>.
BibTeX Export Format
@misc{ Author = "Richard Gass", Title = {The trouble with numerical derivatives}, Month = {January}, Year = {2008} }
Refer Export Format

%A Richard Gass
%T The trouble with numerical derivatives
%D January 1, 2008
%U http://www.compadre.org/Repository/document/ServeFile.cfm?ID=8665&DocID=1072
%O application/mathematica

EndNote Export Format

%0 Computer Program
%A Gass, Richard
%D January 1, 2008
%T The trouble with numerical derivatives
%8 January 1, 2008
%U http://www.compadre.org/Repository/document/ServeFile.cfm?ID=8665&DocID=1072


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