Assessing the accuracy of the results of calculations is a paramount goal in numerical analysis. One distinguishes several kinds of errors which may limit this accuracy:
errors in the input data,
KeywordsError Analysis Arithmetic Operation Digital Computer Amplification Factor Interval Arithmetic
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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References for Chapter 1
- Kulisch, U.: Grundzüge der Intervallrechnung. In: D. Laugwitz: Überblicke Mathematik 2, 51–98. Mannheim: Bibliographisches Institut 1969.Google Scholar
- Rademacher, H. A.: On the accumulation of errors in processes of integration on high-speed calculating machines. Proceedings of a symposium on large-scale digital calculating machinery. Annals Comput. Labor. Harvard Univ. 16, 176–185, 1948.Google Scholar
- Scarborough, J. B.: Numerical Mathematical Analysis. Baltimore: Johns Hopkins Press 1930, 2nd edition 1950.Google Scholar
- Sterbenz, P. H.: Floating Point Computation. Englewood Cliffs, N.J.: Prentice-Hall 1974.Google Scholar
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