An extension of trapezoidal type product integration rules
✍ Scribed by Grzegorz Rza̧dkowski
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 428 KB
- Volume
- 232
- Category
- Article
- ISSN
- 0377-0427
No coin nor oath required. For personal study only.
✦ Synopsis
In the present paper, we use a generalization of the Euler-Maclaurin summation formula for integrals of the form 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.
📜 SIMILAR VOLUMES
## Abstract The bilinear transformation is employed to represent the trapezoidal‐rule integrator in the Z domain. This formulation, in conjunction with the representations of transmission‐line elements in the Z domain, leads to the transmission‐line configuration that is eligible for a microwave in
When a method of numerical integration is implemented on a computer, it is performed with a limited precision arithmetic. This causes a computing error propagated at the level of each elementary operation and affecting, like the method error, the final computed result. The global error depends on t