error analysis
error analysis A term that when applied to numerical analysis refers to the mathematical analysis that describes the various aspects of error behavior in numerical methods (or algorithms). Convergence of an algorithm is a fundamental requirement. Most algorithms result in the construction of a sequence of approximations. If this sequence tends more and more closely to the true solution of the problem, the algorithm is convergent. How fast the algorithm converges is important for its efficiency; some insight is provided by the order of the method. Since most algorithms are terminated before convergence is reached, the size of the error after a finite number of steps must be estimated. How big the error is at most can be determined from an error bound. This must be reasonably “sharp”, i.e. it must not grossly overestimate the error. How big the error is approximately is referred to as an error estimate and is usually determined from an asymptotic formula. Such estimates are widely used in stepbystep methods for ordinary differential equations; here the stepsize, h, must be small enough for the estimate to be accurate.
In numerical linear algebra backward error analysis has proved very successful in analyzing errors. In this approach it is shown that the numerical solution satisfies exactly a perturbed form of the original problem. Bounds for the perturbations are determined and these can be inserted into standard results, thus producing a bound for the error in the numerical solution. The approach can be applied to other areas.
Cite this article
Pick a style below, and copy the text for your bibliography.

MLA

Chicago

APA
"error analysis." A Dictionary of Computing. . Encyclopedia.com. 18 Oct. 2018 <http://www.encyclopedia.com>.
"error analysis." A Dictionary of Computing. . Encyclopedia.com. (October 18, 2018). http://www.encyclopedia.com/computing/dictionariesthesaurusespicturesandpressreleases/erroranalysis
"error analysis." A Dictionary of Computing. . Retrieved October 18, 2018 from Encyclopedia.com: http://www.encyclopedia.com/computing/dictionariesthesaurusespicturesandpressreleases/erroranalysis
Citation styles
Encyclopedia.com gives you the ability to cite reference entries and articles according to common styles from the Modern Language Association (MLA), The Chicago Manual of Style, and the American Psychological Association (APA).
Within the “Cite this article” tool, pick a style to see how all available information looks when formatted according to that style. Then, copy and paste the text into your bibliography or works cited list.
Because each style has its own formatting nuances that evolve over time and not all information is available for every reference entry or article, Encyclopedia.com cannot guarantee each citation it generates. Therefore, it’s best to use Encyclopedia.com citations as a starting point before checking the style against your school or publication’s requirements and the mostrecent information available at these sites:
Modern Language Association
The Chicago Manual of Style
http://www.chicagomanualofstyle.org/tools_citationguide.html
American Psychological Association
Notes:
 Most online reference entries and articles do not have page numbers. Therefore, that information is unavailable for most Encyclopedia.com content. However, the date of retrieval is often important. Refer to each style’s convention regarding the best way to format page numbers and retrieval dates.
 In addition to the MLA, Chicago, and APA styles, your school, university, publication, or institution may have its own requirements for citations. Therefore, be sure to refer to those guidelines when editing your bibliography or works cited list.