Geodesic
Loss of Accuracy in Numerical Computations
Mathematics and Education in Mathematics, Tome 40 (2011) no. 1, pp. 293-299.

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In this tutorial paper we consider possible catastrophic effects of improper use of finite machine arithmetic. Unfortunately, this topic is not well understood even by students in applied and computational mathematics. The situation in engineering and economic specialities is by no means better. To overcome this educational gap we describe the main reasons for loss of accuracy in numerical computer calculations. We hope that the results presented will help both students and lecturers to understand better and avoid the main factors that may destroy the accuracy in computer calculations. The latter is serious – numerical catastrophes sometimes yield real ones, with large damages and human casualties. *2000 Mathematics Subject Classification: Primary 97N20.
Keywords: Accuracy, Numerical Computations, Computational Catastrophes 
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Konstantinov, Mihail; Petkov, Petko. Loss of Accuracy in Numerical Computations. Mathematics and Education in Mathematics, Tome 40 (2011) no. 1, pp. 293-299. http://geodesic.mathdoc.fr/item/MEM_2011_40_1_a33/