Romberg integration: A symbolic approach with mathematica

Date

2003-01-01

Author

Yazıcı, Adnan
Ergenc, T
Altas, I

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

7
views

0
downloads

Cite This

Higher order approximations of an integral can be obtained from lower order ones in a systematic way. For 1-D integrals Romberg Integration is an example which is based upon the composite trapezoidal rule and the well-known Euler-Maclaurin expansion of the error. In this work, Mathematica is utilized to illustrate the method and the underlying theory in a symbolic fashion. This approach seems plausible for discussing integration in a numerical computing laboratory environment.

URI

https://hdl.handle.net/11511/62737

Collections

Department of Computer Engineering, Article