An extension of trapezoidal type product integration rules

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:232

Article

Rzadkowski, Grzegorz

关键词: Numerical integration;    Trapezoidal rule;    Product integration;    Generalized Euler-Maclaurin summation formula;    Bernoulli functions;   

DOI  :  10.1016/j.cam.2009.07.001

来源: Elsevier

【 摘 要 】

In the present paper, we use a generalization of the Euler-Maclaurin summation formula for integrals of the form integral(b)(a) F(0)(x)g(x)dx where F(0)(x) (the weight) is a continuous and positive function and g(x) is twice continuously differentiable function in the interval [a, b]. Numerical examples are given to show the effectiveness of the method. (C) 2009 Elsevier B.V. All rights reserved.

【 授权许可】

Free