Abstract
This chapter presents Newton–Cotes quadrature formulas for approximating integrals by performing polynomial interpolation and integrating the polynomial exactly. In particular we discuss the midpoint, trapezoid, and Simpson's rules for numerical quadrature. The composite forms of these rules are shown where the range of integration is broken into several pieces and the quadrature rule is applied to each piece. Additionally, Richardson extrapolation is applied to integral estimates through a procedure called Romberg integration. The implement of Romberg integration uses the decimal module in Python to use higher precision floating point numbers.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Computational Nuclear Engineering and Radiological Science Using Python™
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
