论文信息 - Numerical integration using local Taylor expansions in nodes

Numerical integration using local Taylor expansions in nodes

In this paper we introduce a new formula for approximating the integration based on locally Taylor expansions in each one of the nodes and reduce the results in respect of difference equation. Finally some examples are given to illustrate the application of the formulae for comparison the results with other related formulae.

S. M. Hashemiparast | S. Hashemiparast

[1] Esmail Babolian,et al. On numerical improvement of Gauss-Legendre quadrature rules , 2005, Appl. Math. Comput..

[2] Kendall E. Atkinson. An introduction to numerical analysis , 1978 .

[3] Samuel D. Conte,et al. Elementary Numerical Analysis: An Algorithmic Approach , 1975 .

[4] Philip Rabinowitz,et al. Methods of Numerical Integration , 1985 .

[5] J. Douglas Faires,et al. Numerical Analysis , 1981 .