Numerical Analysis for Science, Engineering and Technology

Author(s): Said Gamil Ahmed Sayed Ahmed, Hossein Jafari, Mukhtar Yagoub Youssif and Roberto Datja

DOI: 10.2174/9781681086514118010003

Theory of Approximations

Pp: 11-78 (68)

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Abstract

SHS investigation development is considered from the geographical and historical viewpoint. 3 stages are described. Within Stage 1 the work was carried out in the Department of the Institute of Chemical Physics in Chernogolovka where the scientific discovery had been made. At Stage 2 the interest to SHS arose in different cities and towns of the former USSR. Within Stage 3 SHS entered the international scene. Now SHS processes and products are being studied in more than 50 countries.

Abstract

Function approximations, interpolation, numerical differentiation and numerical integrations are very important topics in the numerical analysis. These topics are widely used and found in science and engineering applications. In the present chapter, we will present the main methods and techniques that had been developed for such topics. Differentiation and integration related together by so many relations as we will see later on. Finally, one can say that these topics are very important in our daily life, and therefore everyone should be aware of them.

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