American Journal of Numerical Analysis
http://www.sciepub.com/journal/AJNA
American Journal of Numerical Analysis is a peer-reviewed, open access journal that publishes original research articles and review articles in all areas of numerical analysis. Numerical Analysis is called the Mathematics of Scientific Computing. More specifically, Numerical Analysis involves the study, development and analysis of methods for obtaining approximate solutions to mathematical problems. This definition does pinpoint some of the key issues in Numerical Analysis, namely, approximate solution, mathematical problems, the study, development and analysis of methods. The methods invariably are destined for use on high-speed computers and therefore three major sources of error (discretization error, approximation error, rounding error) are present in the study of numerical methods. Underlying all these sources is the general question of the stability of the solution of the problem to be solved and of the discrete ill-posedness of the problem.Science and Education Publishingen2013 Science and Education Publishing Co. Ltd All rights reserved.American Journal of Numerical Analysis
4
1
January 2016
2013 Science and Education Publishing Co. Ltd All rights reserved.
Construction of Optimal Quadrature Formula for Numerical Calculation of Fourier Coefficients in Sobolev Space L2(1)
http://pubs.sciepub.com/ajna/4/1/1
is constructed for functions of the space . At the same time the explicit formulas for optimal coefficients, which are very useful in applications, are obtained. The obtained formula is exact for constant. In particular, as consequences of the main result the new optimal quadrature formulas for approximate evaluation of integrals and are obtained. Furthermore, the order of convergence of the constructed optimal quadrature formula is studied.]]>
Nurali D. Boltaev, Abdullo R. Hayotov, Kholmat M. Shadimetov
2016-1-27Science and Education Publishing2016-1-27141710.12691/ajna-4-1-1